\nFind the Missing Numerator or Denominator
\n
![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-5th-Grade-Module-3-Lesson-2-Sprint-Answer-Key-1.png\")
<\/p>\nA
\nFind the Missing Numerator or Denominator
\n<\/p>\n
Question 1.
\n\\(\\frac{1}{2}\\) = \\(\\frac{}{4}\\)
\nAnswer:
\n\\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)
\nExplanation :
\n\\(\\frac{1}{2}\\) = \\(\\frac{x}{4}\\)
\nx = \\(\\frac{1}{2}\\) \u00d7 4
\nx = \\(\\frac{4}{2}\\)
\nx = 2 .<\/p>\n
Question 2.
\n\\(\\frac{1}{5}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{1}{5}\\) = \\(\\frac{2}{10}\\)
\nExplanation :
\n\\(\\frac{1}{5}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{5}{1}\\) \u00d7 2
\nx = 10 .<\/p>\n
Question 3.
\n\\(\\frac{2}{5}\\) = \\(\\frac{}{10}\\)
\nAnswer:
\n\\(\\frac{2}{5}\\) = \\(\\frac{4}{10}\\)
\nExplanation :
\n\\(\\frac{2}{5}\\) = \\(\\frac{x}{10}\\)
\nx = \\(\\frac{2}{5}\\) \u00d7 10
\nx = \\(\\frac{20}{5}\\)
\nx = 4 .<\/p>\n
Question 4.
\n\\(\\frac{3}{5}\\) = \\(\\frac{}{10}\\)
\nAnswer:
\n\\(\\frac{3}{5}\\) = \\(\\frac{6}{10}\\)
\nExplanation :
\n\\(\\frac{3}{5}\\) = \\(\\frac{x}{10}\\)
\nx = \\(\\frac{3}{5}\\) \u00d7 10
\nx = \\(\\frac{30}{5}\\)
\nx = 6 .<\/p>\n
Question 5.
\n\\(\\frac{4}{5}\\) = \\(\\frac{}{10}\\)
\nAnswer:
\n\\(\\frac{4}{5}\\) = \\(\\frac{8}{10}\\)
\nExplanation :
\n\\(\\frac{4}{5}\\) = \\(\\frac{x}{10}\\)
\nx = \\(\\frac{4}{5}\\) \u00d7 10
\nx = \\(\\frac{40}{5}\\)
\nx = 8 .<\/p>\n
Question 6.
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{3}{1}\\) \u00d7 2
\nx = 3 \u00d7 2
\nx = 6 .<\/p>\n
Question 7.
\n\\(\\frac{2}{3}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{2}{3}\\) = \\(\\frac{6}{9}\\)
\nExplanation :
\n\\(\\frac{2}{3}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{2}{3}\\) \u00d7 9
\nx = \\(\\frac{18}{3}\\)
\nx = 6 .<\/p>\n
Question 8.
\n\\(\\frac{1}{3}\\) = \\(\\frac{3}{}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{3}{9}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{3}{x}\\)
\nx = \\(\\frac{3}{1}\\) \u00d7 3
\nx = 3 \u00d7 3
\nx = 9 .<\/p>\n
Question 9.
\n\\(\\frac{2}{3}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{2}{3}\\) = \\(\\frac{6}{9}\\)
\nExplanation :
\n\\(\\frac{2}{3}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{2}{3}\\) \u00d7 9
\nx = \\(\\frac{18}{3}\\)
\nx = 6 .<\/p>\n
Question 10.
\n\\(\\frac{1}{4}\\) = \\(\\frac{}{8}\\)
\nAnswer:
\n\\(\\frac{1}{4}\\) = \\(\\frac{2}{8}\\)
\nExplanation :
\n\\(\\frac{1}{4}\\) = \\(\\frac{x}{8}\\)
\nx = \\(\\frac{1}{4}\\) \u00d7 8
\nx = \\(\\frac{8}{4}\\)
\nx = 2 .<\/p>\n
Question 11.
\n\\(\\frac{3}{4}\\) = \\(\\frac{}{8}\\)
\nAnswer:
\n\\(\\frac{3}{4}\\) = \\(\\frac{6}{8}\\)
\nExplanation :
\n\\(\\frac{3}{4}\\) = \\(\\frac{x}{8}\\)
\nx = \\(\\frac{3}{4}\\) \u00d7 8
\nx = \\(\\frac{24}{4}\\)
\nx = 6 .<\/p>\n
Question 12.
\n\\(\\frac{1}{4}\\) = \\(\\frac{3}{}\\)
\nAnswer:
\n\\(\\frac{1}{4}\\) = \\(\\frac{3}{12}\\)
\nExplanation :
\n\\(\\frac{1}{4}\\) = \\(\\frac{3}{x}\\)
\nx = \\(\\frac{4}{1}\\) \u00d7 3
\nx = 4 \u00d7 3
\nx = 12 .<\/p>\n
Question 13.
\n\\(\\frac{3}{4}\\) = \\(\\frac{9}{}\\)
\nAnswer:
\n\\(\\frac{3}{4}\\) = \\(\\frac{9}{12}\\)
\nExplanation :
\n\\(\\frac{3}{4}\\) = \\(\\frac{9}{x}\\)
\nx = \\(\\frac{4}{3}\\) \u00d7 9
\nx = \\(\\frac{36}{3}\\)
\nx = 12 .<\/p>\n
Question 14.
\n\\(\\frac{2}{4}\\) = \\(\\frac{}{2}\\)
\nAnswer:
\n\\(\\frac{2}{4}\\) = \\(\\frac{1}{2}\\)
\nExplanation :
\n\\(\\frac{2}{4}\\) = \\(\\frac{x}{2}\\)
\nx = \\(\\frac{2}{4}\\) \u00d7 2
\nx = \\(\\frac{4}{4}\\)
\nx = 1 .<\/p>\n
Question 15.
\n\\(\\frac{2}{6}\\) = \\(\\frac{1}{}\\)
\nAnswer:
\n\\(\\frac{2}{6}\\) = \\(\\frac{1}{3}\\)
\nExplanation :
\n\\(\\frac{2}{6}\\) = \\(\\frac{1}{x}\\)
\nx = \\(\\frac{6}{2}\\) \u00d7 1
\nx = \\(\\frac{6}{2}\\)
\nx = 3 .<\/p>\n
Question 16.
\n\\(\\frac{2}{10}\\) = \\(\\frac{1}{}\\)
\nAnswer:
\n\\(\\frac{2}{10}\\) = \\(\\frac{1}{5}\\)
\nExplanation :
\n\\(\\frac{2}{10}\\) = \\(\\frac{1}{x}\\)
\nx = \\(\\frac{10}{2}\\) \u00d7 1
\nx = 5 .<\/p>\n
Question 17.
\n\\(\\frac{4}{10}\\) = \\(\\frac{}{5}\\)
\nAnswer:
\n\\(\\frac{4}{10}\\) = \\(\\frac{2}{5}\\)
\nExplanation :
\n\\(\\frac{4}{10}\\) = \\(\\frac{x}{5}\\)
\nx = \\(\\frac{4}{10}\\) \u00d7 5
\nx = \\(\\frac{20}{10}\\)
\nx = 2 .<\/p>\n
Question 18.
\n\\(\\frac{8}{10}\\) = \\(\\frac{}{5}\\)
\nAnswer:
\n\\(\\frac{8}{10}\\) = \\(\\frac{4}{5}\\)
\nExplanation :
\n\\(\\frac{8}{10}\\) = \\(\\frac{x}{5}\\)
\nx = \\(\\frac{8}{10}\\) \u00d7 5
\nx = \\(\\frac{40}{10}\\)
\nx = 4 .<\/p>\n
Question 19.
\n\\(\\frac{3}{9}\\) = \\(\\frac{}{3}\\)
\nAnswer:
\n\\(\\frac{3}{9}\\) = \\(\\frac{1}{3}\\)
\nExplanation :
\n\\(\\frac{3}{9}\\) = \\(\\frac{x}{3}\\)
\nx = \\(\\frac{3}{9}\\) \u00d7 3
\nx = \\(\\frac{9}{9}\\)
\nx = 1 .<\/p>\n
Question 20.
\n\\(\\frac{6}{9}\\) = \\(\\frac{}{3}\\)
\nAnswer:
\n\\(\\frac{6}{9}\\) = \\(\\frac{2}{3}\\)
\nExplanation :
\n\\(\\frac{6}{9}\\) = \\(\\frac{x}{3}\\)
\nx = \\(\\frac{6}{9}\\) \u00d7 3
\nx = \\(\\frac{18}{9}\\)
\nx = 2 .<\/p>\n
Question 21.
\n\\(\\frac{3}{12}\\) = \\(\\frac{1}{}\\)
\nAnswer:
\n\\(\\frac{3}{12}\\) = \\(\\frac{1}{4}\\)
\nExplanation :
\n\\(\\frac{3}{12}\\) = \\(\\frac{1}{x}\\)
\nx = \\(\\frac{3}{12}\\) \u00d7 1
\nx = 4 .<\/p>\n
Question 22.
\n\\(\\frac{9}{12}\\) = \\(\\frac{}{4}\\)
\nAnswer:
\n\\(\\frac{9}{12}\\) = \\(\\frac{3}{4}\\)
\nExplanation :
\n\\(\\frac{9}{12}\\) = \\(\\frac{x}{4}\\)
\nx = \\(\\frac{9}{12}\\) \u00d7 4
\nx = \\(\\frac{36}{12}\\)
\nx = 3 .<\/p>\n
Question 23.
\n\\(\\frac{1}{3}\\) = \\(\\frac{}{12}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{4}{12}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{x}{12}\\)
\nx = \\(\\frac{1}{3}\\) \u00d7 12
\nx = \\(\\frac{12}{3}\\)
\nx = 4 .<\/p>\n
Question 24.
\n\\(\\frac{2}{3}\\) = \\(\\frac{}{12}\\)
\nAnswer:
\n\\(\\frac{2}{3}\\) = \\(\\frac{8}{12}\\)
\nExplanation :
\n\\(\\frac{2}{3}\\) = \\(\\frac{x}{12}\\)
\nx = \\(\\frac{2}{3}\\) \u00d7 12
\nx = \\(\\frac{24}{3}\\)
\nx = 8 .<\/p>\n
Question 25.
\n\\(\\frac{8}{12}\\) = \\(\\frac{}{3}\\)
\nAnswer:
\n\\(\\frac{8}{12}\\) = \\(\\frac{2}{3}\\)
\nExplanation :
\n\\(\\frac{8}{12}\\) = \\(\\frac{x}{3}\\)
\nx = \\(\\frac{8}{12}\\) \u00d7 3
\nx = \\(\\frac{24}{12}\\)
\nx = 2 .<\/p>\n
Question 26.
\n\\(\\frac{12}{16}\\) = \\(\\frac{3}{}\\)
\nAnswer:
\n\\(\\frac{12}{16}\\) = \\(\\frac{3}{4}\\)
\nExplanation :
\n\\(\\frac{12}{16}\\) = \\(\\frac{3}{x}\\)
\nx = \\(\\frac{16}{12}\\) \u00d7 3
\nx = 4 .<\/p>\n
Question 27.
\n\\(\\frac{3}{5}\\) = \\(\\frac{}{25}\\)
\nAnswer:
\n\\(\\frac{3}{5}\\) = \\(\\frac{15}{25}\\)
\nExplanation :
\n\\(\\frac{3}{5}\\) = \\(\\frac{x}{25}\\)
\nx = \\(\\frac{3}{5}\\) \u00d7 25
\nx = 3 \u00d7 5
\nx = 15 .<\/p>\n
Question 28.
\n\\(\\frac{4}{5}\\) = \\(\\frac{28}{}\\)
\nAnswer:
\n\\(\\frac{4}{5}\\) = \\(\\frac{28}{35}\\)
\nExplanation :
\n\\(\\frac{4}{5}\\) = \\(\\frac{28}{x}\\)
\nx = \\(\\frac{5}{4}\\) \u00d7 28
\nx = 5 \u00d7 7
\nx = 35 .<\/p>\n
Question 29.
\n\\(\\frac{18}{24}\\) = \\(\\frac{3}{}\\)
\nAnswer:
\n\\(\\frac{18}{24}\\) = \\(\\frac{3}{4}\\)
\nExplanation :
\n\\(\\frac{18}{24}\\) = \\(\\frac{3}{x}\\)
\nx = \\(\\frac{24}{18}\\) \u00d7 3
\nx = \\(\\frac{24}{6}\\)
\nx = 4 .<\/p>\n
Question 30.
\n\\(\\frac{24}{30}\\) = \\(\\frac{}{5}\\)
\nAnswer:
\n\\(\\frac{24}{30}\\) = \\(\\frac{4}{5}\\)
\nExplanation :
\n\\(\\frac{24}{30}\\) = \\(\\frac{x}{5}\\)
\nx = \\(\\frac{24}{30}\\) \u00d7 5
\nx = \\(\\frac{24}{6}\\)
\nx = 4 .<\/p>\n
Question 31.
\n\\(\\frac{5}{6}\\) = \\(\\frac{35}{}\\)
\nAnswer:
\n\\(\\frac{5}{6}\\) = \\(\\frac{35}{42}\\)
\nExplanation :
\n\\(\\frac{5}{6}\\) = \\(\\frac{35}{x}\\)
\nx = \\(\\frac{6}{5}\\) \u00d7 35
\nx = 6 \u00d7 7
\nx = 42 .<\/p>\n
Question 32.
\n\\(\\frac{56}{63}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{56}{63}\\) = \\(\\frac{8}{9}\\)
\nExplanation :
\n\\(\\frac{56}{63}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{56}{63}\\) \u00d7 9
\nx = \\(\\frac{56}{7}\\)
\nx = 8 .<\/p>\n
Question 33.
\n\\(\\frac{64}{72}\\) = \\(\\frac{8}{}\\)
\nAnswer:
\n\\(\\frac{64}{72}\\) = \\(\\frac{8}{9}\\)
\nExplanation :
\n\\(\\frac{64}{72}\\) = \\(\\frac{8}{x}\\)
\nx = \\(\\frac{72}{64}\\) \u00d7 8
\nx = \\(\\frac{72}{8}\\)
\nx = 9 .<\/p>\n
Question 34.
\n\\(\\frac{5}{8}\\) = \\(\\frac{}{64}\\)
\nAnswer:
\n\\(\\frac{5}{8}\\) = \\(\\frac{40}{64}\\)
\nExplanation :
\n\\(\\frac{5}{8}\\) = \\(\\frac{x}{64}\\)
\nx = \\(\\frac{5}{8}\\) \u00d7 64
\nx = 5 \u00d7 8
\nx = 40 .<\/p>\n
Question 35.
\n\\(\\frac{5}{6}\\) = \\(\\frac{45}{}\\)
\nAnswer:
\n\\(\\frac{5}{6}\\) = \\(\\frac{45}{54}\\)
\nExplanation :
\n\\(\\frac{5}{6}\\) = \\(\\frac{45}{x}\\)
\nx = \\(\\frac{6}{5}\\) \u00d7 45
\nx = 6 \u00d7 9
\nx = 54 .<\/p>\n
Question 36.
\n\\(\\frac{45}{81}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{45}{81}\\) = \\(\\frac{5}{9}\\)
\nExplanation :
\n\\(\\frac{45}{81}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{45}{81}\\) \u00d7 9
\nx = \\(\\frac{45}{9}\\)
\nx = 5 .<\/p>\n
Question 37.
\n\\(\\frac{6}{7}\\) = \\(\\frac{48}{}\\)
\nAnswer:
\n\\(\\frac{6}{7}\\) = \\(\\frac{48}{56}\\)
\nExplanation :
\n\\(\\frac{6}{7}\\) = \\(\\frac{48}{x}\\)
\nx = \\(\\frac{7}{6}\\) \u00d7 48
\nx = 7 \u00d7 8
\nx = 56 .<\/p>\n
Question 38.
\n\\(\\frac{36}{81}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{36}{81}\\) = \\(\\frac{4}{9}\\)
\nExplanation :
\n\\(\\frac{36}{81}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{36}{81}\\) \u00d7 9
\nx = \\(\\frac{36}{9}\\)
\nx = 4 .<\/p>\n
Question 39.
\n\\(\\frac{8}{56}\\) = \\(\\frac{1}{}\\)
\nAnswer:
\n\\(\\frac{8}{56}\\) = \\(\\frac{1}{7}\\)
\nExplanation :
\n\\(\\frac{8}{56}\\) = \\(\\frac{1}{x}\\)
\nx = \\(\\frac{8}{56}\\) \u00d7 1
\nx = 7 .<\/p>\n
Question 40.
\n\\(\\frac{35}{63}\\) = \\(\\frac{5}{}\\)
\nAnswer:
\n\\(\\frac{35}{63}\\) = \\(\\frac{5}{9}\\)
\nExplanation :
\n\\(\\frac{35}{63}\\) = \\(\\frac{5}{x}\\)
\nx = \\(\\frac{63}{35}\\) \u00d7 5
\nx = \\(\\frac{63}{7}\\)
\nx = 9 .<\/p>\n
Question 41.
\n\\(\\frac{1}{6}\\) = \\(\\frac{12}{}\\)
\nAnswer:
\n\\(\\frac{1}{6}\\) = \\(\\frac{12}{72}\\)
\nExplanation :
\n\\(\\frac{1}{6}\\) = \\(\\frac{12}{x}\\)
\nx = \\(\\frac{6}{1}\\) \u00d7 12
\nx = 72 .<\/p>\n
Question 42.
\n\\(\\frac{3}{7}\\) = \\(\\frac{36}{}\\)
\nAnswer:
\n\\(\\frac{3}{7}\\) = \\(\\frac{36}{84}\\)
\nExplanation :
\n\\(\\frac{3}{7}\\) = \\(\\frac{36}{x}\\)
\nx = \\(\\frac{7}{3}\\) \u00d7 36
\nx = 7 \u00d7 12
\nx = 84 .<\/p>\n
Question 43.
\n\\(\\frac{48}{60}\\) = \\(\\frac{4}{}\\)
\nAnswer:
\n\\(\\frac{48}{60}\\) = \\(\\frac{4}{5}\\)
\nExplanation :
\n\\(\\frac{48}{60}\\) = \\(\\frac{4}{x}\\)
\nx = \\(\\frac{60}{48}\\) \u00d7 4
\nx = \\(\\frac{60}{12}\\)
\nx = 5 .<\/p>\n
Question 44.
\n\\(\\frac{72}{84}\\) = \\(\\frac{}{7}\\)
\nAnswer:
\n\\(\\frac{72}{84}\\) = \\(\\frac{6}{7}\\)
\nExplanation :
\n\\(\\frac{72}{84}\\) = \\(\\frac{x}{7}\\)
\nx = \\(\\frac{72}{84}\\) \u00d7 7
\nx = \\(\\frac{72}{12}\\)
\nx = 6 .<\/p>\n
B
\nFind the Missing Numerator or Denominator
\n![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-5th-Grade-Module-3-Lesson-2-Sprint-Answer-Key-2.png\")
<\/p>\n
Question 1.
\n\\(\\frac{1}{5}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{1}{5}\\) = \\(\\frac{2}{10}\\)
\nExplanation :
\n\\(\\frac{1}{5}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{5}{1}\\) \u00d7 2
\nx = 10 .<\/p>\n
Question 2.
\n\\(\\frac{2}{5}\\) = \\(\\frac{}{10}\\)
\nAnswer:
\n\\(\\frac{2}{5}\\) = \\(\\frac{4}{10}\\)
\nExplanation :
\n\\(\\frac{2}{5}\\) = \\(\\frac{x}{10}\\)
\nx = \\(\\frac{2}{5}\\) \u00d7 10
\nx = 4 .<\/p>\n
Question 3.
\n\\(\\frac{3}{5}\\) = \\(\\frac{}{10}\\)
\nAnswer:
\n\\(\\frac{3}{5}\\) = \\(\\frac{6}{10}\\)
\nExplanation :
\n\\(\\frac{3}{5}\\) = \\(\\frac{x}{10}\\)
\nx = \\(\\frac{3}{5}\\) \u00d7 10
\nx = 6 .<\/p>\n
Question 4.
\n\\(\\frac{4}{5}\\) = \\(\\frac{}{10}\\)
\nAnswer:
\n\\(\\frac{4}{5}\\) = \\(\\frac{8}{10}\\)
\nExplanation :
\n\\(\\frac{4}{5}\\) = \\(\\frac{x}{10}\\)
\nx = \\(\\frac{4}{5}\\) \u00d7 10
\nx = 8 .<\/p>\n
Question 5.
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{6}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{3}{1}\\) \u00d7 2
\nx = 6<\/p>\n
Question 6.
\n\\(\\frac{1}{3}\\) = \\(\\frac{}{6}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{2}{6}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{x}{6}\\)
\nx = \\(\\frac{1}{3}\\) \u00d7 6
\nx = 2<\/p>\n
Question 7.
\n\\(\\frac{2}{3}\\) = \\(\\frac{4}{}\\)
\nAnswer:
\n\\(\\frac{2}{3}\\) = \\(\\frac{4}{12}\\)
\nExplanation :
\n\\(\\frac{2}{3}\\) = \\(\\frac{4}{x}\\)
\nx = \\(\\frac{3}{2}\\) \u00d7 4
\nx = 6<\/p>\n
Question 8.
\n\\(\\frac{1}{3}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{3}{9}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{1}{3}\\) \u00d7 9
\nx = 3<\/p>\n
Question 9.
\n\\(\\frac{2}{3}\\) = \\(\\frac{6}{}\\)
\nAnswer:
\n\\(\\frac{2}{3}\\) = \\(\\frac{6}{9}\\)
\nExplanation :
\n\\(\\frac{2}{3}\\) = \\(\\frac{6}{x}\\)
\nx = \\(\\frac{3}{2}\\) \u00d7 6
\nx = 9<\/p>\n
Question 10.
\n\\(\\frac{1}{4}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{1}{4}\\) = \\(\\frac{2}{8}\\)
\nExplanation :
\n\\(\\frac{1}{4}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{4}{1}\\) \u00d7 2
\nx = 8<\/p>\n
Question 11.
\n\\(\\frac{3}{4}\\) = \\(\\frac{6}{}\\)
\nAnswer:
\n\\(\\frac{3}{4}\\) = \\(\\frac{6}{8}\\)
\nExplanation :
\n\\(\\frac{3}{4}\\) = \\(\\frac{6}{x}\\)
\nx = \\(\\frac{4}{3}\\) \u00d7 6
\nx = 8<\/p>\n
Question 12.
\n\\(\\frac{1}{4}\\) = \\(\\frac{}{12}\\)
\nAnswer:
\n\\(\\frac{1}{4}\\) = \\(\\frac{3}{12}\\)
\nExplanation :
\n\\(\\frac{1}{4}\\) = \\(\\frac{x}{12}\\)
\nx = \\(\\frac{1}{4}\\) \u00d7 12
\nx = 3<\/p>\n
Question 13.
\n\\(\\frac{3}{4}\\) = \\(\\frac{}{12}\\)
\nAnswer:
\n\\(\\frac{3}{4}\\) = \\(\\frac{9}{12}\\)
\nExplanation :
\n\\(\\frac{3}{4}\\) = \\(\\frac{x}{12}\\)
\nx = \\(\\frac{3}{4}\\) \u00d7 12
\nx = 9<\/p>\n
Question 14.
\n\\(\\frac{2}{4}\\) = \\(\\frac{1}{}\\)
\nAnswer:
\n\\(\\frac{2}{4}\\) = \\(\\frac{1}{2}\\)
\nExplanation :
\n\\(\\frac{2}{4}\\) = \\(\\frac{1}{x}\\)
\nx = \\(\\frac{4}{2}\\) \u00d7 1
\nx = 2<\/p>\n
Question 15.
\n\\(\\frac{2}{6}\\) = \\(\\frac{}{3}\\)
\nAnswer:
\n\\(\\frac{2}{6}\\) = \\(\\frac{4}{12}\\)
\nExplanation :
\n\\(\\frac{2}{6}\\) = \\(\\frac{x}{12}\\)
\nx = \\(\\frac{2}{6}\\) \u00d7 12
\nx = 4<\/p>\n
Question 16.
\n\\(\\frac{2}{10}\\) = \\(\\frac{}{5}\\)
\nAnswer:
\n\\(\\frac{2}{10}\\) = \\(\\frac{1}{5}\\)
\nExplanation :
\n\\(\\frac{2}{10}\\) = \\(\\frac{x}{5}\\)
\nx = \\(\\frac{2}{10}\\) \u00d7 5
\nx = 1<\/p>\n
Question 17.
\n\\(\\frac{4}{10}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{4}{10}\\) = \\(\\frac{2}{5}\\)
\nExplanation :
\n\\(\\frac{4}{10}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{10}{4}\\) \u00d7 2
\nx = 5<\/p>\n
Question 18.
\n\\(\\frac{8}{10}\\) = \\(\\frac{4}{}\\)
\nAnswer:
\n\\(\\frac{8}{10}\\) = \\(\\frac{4}{5}\\)
\nExplanation :
\n\\(\\frac{8}{10}\\) = \\(\\frac{4}{x}\\)
\nx = \\(\\frac{10}{8}\\) \u00d7 4
\nx = 5<\/p>\n
Question 19.
\n\\(\\frac{3}{9}\\) = \\(\\frac{1}{}\\)
\nAnswer:
\n\\(\\frac{3}{9}\\) = \\(\\frac{1}{3}\\)
\nExplanation :
\n\\(\\frac{3}{9}\\) = \\(\\frac{1}{x}\\)
\nx = \\(\\frac{9}{3}\\) \u00d7 1
\nx = 3<\/p>\n
Question 20.
\n\\(\\frac{6}{9}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{6}{9}\\) = \\(\\frac{2}{3}\\)
\nExplanation :
\n\\(\\frac{6}{9}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{9}{6}\\) \u00d7 2
\nx = 3<\/p>\n
Question 21.
\n\\(\\frac{1}{4}\\) = \\(\\frac{}{12}\\)
\nAnswer:
\n\\(\\frac{1}{4}\\) = \\(\\frac{3}{12}\\)
\nExplanation :
\n\\(\\frac{1}{4}\\) = \\(\\frac{x}{12}\\)
\nx = \\(\\frac{1}{4}\\) \u00d7 12
\nx = 3<\/p>\n
Question 22.
\n\\(\\frac{9}{12}\\) = \\(\\frac{3}{}\\)
\nAnswer:
\n\\(\\frac{9}{12}\\) = \\(\\frac{3}{}\\)
\nExplanation :
\n\\(\\frac{6}{9}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{9}{6}\\) \u00d7 2
\nx = 3<\/p>\n
Question 23.
\n\\(\\frac{1}{3}\\) = \\(\\frac{4}{}\\)
\nAnswer:
\n\\(\\frac{1}{3}\\) = \\(\\frac{4}{12}\\)
\nExplanation :
\n\\(\\frac{1}{3}\\) = \\(\\frac{4}{x}\\)
\nx = \\(\\frac{3}{1}\\) \u00d7 4
\nx = 12<\/p>\n
Question 24.
\n\\(\\frac{2}{3}\\) = \\(\\frac{8}{}\\)
\nAnswer:
\n\\(\\frac{2}{3}\\) = \\(\\frac{8}{12}\\)
\nExplanation :
\n\\(\\frac{2}{3}\\) = \\(\\frac{8}{x}\\)
\nx = \\(\\frac{3}{2}\\) \u00d7 8
\nx = 12<\/p>\n
Question 25.
\n\\(\\frac{8}{12}\\) = \\(\\frac{2}{}\\)
\nAnswer:
\n\\(\\frac{8}{12}\\) = \\(\\frac{2}{3}\\)
\nExplanation :
\n\\(\\frac{8}{12}\\) = \\(\\frac{2}{x}\\)
\nx = \\(\\frac{12}{8}\\) \u00d7 2
\nx = 3<\/p>\n
Question 26.
\n\\(\\frac{12}{16}\\) = \\(\\frac{}{4}\\)
\nAnswer:
\n\\(\\frac{12}{16}\\) = \\(\\frac{3}{4}\\)
\nExplanation :
\n\\(\\frac{12}{16}\\) = \\(\\frac{x}{4}\\)
\nx = \\(\\frac{12}{16}\\) \u00d7 4
\nx = 3<\/p>\n
Question 27.
\n\\(\\frac{3}{5}\\) = \\(\\frac{15}{}\\)
\nAnswer:
\n\\(\\frac{3}{5}\\) = \\(\\frac{15}{25}\\)
\nExplanation :
\n\\(\\frac{3}{5}\\) = \\(\\frac{15}{x}\\)
\nx = \\(\\frac{5}{3}\\) \u00d7 15
\nx = 25<\/p>\n
Question 28.
\n\\(\\frac{4}{5}\\) = \\(\\frac{}{35}\\)
\nAnswer:
\n\\(\\frac{4}{5}\\) = \\(\\frac{28}{35}\\)
\nExplanation :
\n\\(\\frac{4}{5}\\) = \\(\\frac{x}{35}\\)
\nx = \\(\\frac{4}{5}\\) \u00d7 35
\nx = 28<\/p>\n
Question 29.
\n\\(\\frac{18}{24}\\) = \\(\\frac{}{4}\\)
\nAnswer:
\n\\(\\frac{18}{24}\\) = \\(\\frac{3}{4}\\)
\nExplanation :
\n\\(\\frac{18}{24}\\) = \\(\\frac{x}{4}\\)
\nx = \\(\\frac{18}{24}\\) \u00d7 4
\nx = 3<\/p>\n
Question 30.
\n\\(\\frac{24}{30}\\) = \\(\\frac{4}{}\\)
\nAnswer:
\n\\(\\frac{24}{30}\\) = \\(\\frac{4}{5}\\)
\nExplanation :
\n\\(\\frac{24}{30}\\) = \\(\\frac{4}{x}\\)
\nx = \\(\\frac{30}{24}\\) \u00d7 4
\nx = 5<\/p>\n
Question 31.
\n\\(\\frac{5}{6}\\) = \\(\\frac{}{42}\\)
\nAnswer:
\n\\(\\frac{5}{6}\\) = \\(\\frac{35}{42}\\)
\nExplanation :
\n\\(\\frac{5}{6}\\) = \\(\\frac{x}{42}\\)
\nx = \\(\\frac{5}{6}\\) \u00d7 42
\nx = 35<\/p>\n
Question 32.
\n\\(\\frac{56}{63}\\) = \\(\\frac{8}{}\\)
\nAnswer:
\n\\(\\frac{56}{63}\\) = \\(\\frac{8}{9}\\)
\nExplanation :
\n\\(\\frac{56}{63}\\) = \\(\\frac{8}{x}\\)
\nx = \\(\\frac{63}{56}\\) \u00d7 8
\nx = 9<\/p>\n
Question 33.
\n\\(\\frac{64}{72}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{64}{72}\\) = \\(\\frac{8}{9}\\)
\nExplanation :
\n\\(\\frac{64}{72}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{64}{72}\\) \u00d7 9
\nx = 8<\/p>\n
Question 34.
\n\\(\\frac{5}{8}\\) = \\(\\frac{40}{}\\)
\nAnswer:
\n\\(\\frac{5}{8}\\) = \\(\\frac{40}{64}\\)
\nExplanation :
\n\\(\\frac{5}{8}\\) = \\(\\frac40}{x}\\)
\nx = \\(\\frac{8}{5}\\) \u00d7 40
\nx = 64<\/p>\n
Question 35.
\n\\(\\frac{5}{6}\\) = \\(\\frac{}{54}\\)
\nAnswer:
\n\\(\\frac{5}{6}\\) = \\(\\frac{45}{54}\\)
\nExplanation :
\n\\(\\frac{5}{6}\\) = \\(\\frac{x}{54}\\)
\nx = \\(\\frac{5}{6}\\) \u00d7 54
\nx = 45<\/p>\n
Question 36.
\n\\(\\frac{45}{81}\\) = \\(\\frac{5}{}\\)
\nAnswer:
\n\\(\\frac{45}{81}\\) = \\(\\frac{5}{9}\\)
\nExplanation :
\n\\(\\frac{45}{81}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{45}{81}\\) \u00d7 9
\nx = 9<\/p>\n
Question 37.
\n\\(\\frac{6}{7}\\) = \\(\\frac{}{56}\\)
\nAnswer:
\n\\(\\frac{6}{7}\\) = \\(\\frac{48}{56}\\)
\nExplanation :
\n\\(\\frac{6}{7}\\) = \\(\\frac{x}{56}\\)
\nx = \\(\\frac{7}{6}\\) \u00d7 56
\nx = 48<\/p>\n
Question 38.
\n\\(\\frac{36}{81}\\) = \\(\\frac{4}{}\\)
\nAnswer:
\n\\(\\frac{36}{81}\\) = \\(\\frac{4}{9}\\)
\nExplanation :
\n\\(\\frac{36}{81}\\) = \\(\\frac{4}{x}\\)
\nx = \\(\\frac{81}{36}\\)\u00a0 \u00d7 4
\nx = 9<\/p>\n
Question 39.
\n\\(\\frac{8}{56}\\) = \\(\\frac{}{7}\\)
\nAnswer:
\n\\(\\frac{8}{56}\\) = \\(\\frac{1}{7}\\)
\nExplanation :
\n\\(\\frac{8}{56}\\) = \\(\\frac{x}{7}\\)
\nx = \\(\\frac{8}{56}\\) \u00d7 7
\nx = 1<\/p>\n
Question 40.
\n\\(\\frac{35}{63}\\) = \\(\\frac{}{9}\\)
\nAnswer:
\n\\(\\frac{35}{63}\\) = \\(\\frac{5}{9}\\)
\nExplanation :
\n\\(\\frac{35}{63}\\) = \\(\\frac{x}{9}\\)
\nx = \\(\\frac{35}{63}\\) \u00d7 9
\nx = 5<\/p>\n
Question 41.
\n\\(\\frac{1}{6}\\) = \\(\\frac{}{72}\\)
\nAnswer:
\n\\(\\frac{1}{6}\\) = \\(\\frac{12}{72}\\)
\nExplanation :
\n\\(\\frac{1}{6}\\) = \\(\\frac{x}{72}\\)
\nx = \\(\\frac{1}{6}\\) \u00d7 72
\nx = 12<\/p>\n
Question 42.
\n\\(\\frac{3}{7}\\) = \\(\\frac{}{84}\\)
\nAnswer:
\n\\(\\frac{3}{7}\\) = \\(\\frac{36}{84}\\)
\nExplanation :
\n\\(\\frac{3}{7}\\) = \\(\\frac{x}{84}\\)
\nx = \\(\\frac{3}{7}\\) \u00d7 84
\nx = 36<\/p>\n
Question 43.
\n\\(\\frac{48}{60}\\) = \\(\\frac{}{5}\\)
\nAnswer:
\n\\(\\frac{48}{60}\\) = \\(\\frac{4}{5}\\)
\nExplanation :
\n\\(\\frac{48}{60}\\) = \\(\\frac{x}{5}\\)
\nx = \\(\\frac{48}{60}\\) \u00d7 5
\nx = 4<\/p>\n
Question 44.
\n\\(\\frac{72}{84}\\) = \\(\\frac{6}{}\\)
\nAnswer:
\n\\(\\frac{72}{84}\\) = \\(\\frac{6}{7}\\)
\nExplanation :
\n\\(\\frac{72}{84}\\) = \\(\\frac{6}{x}\\)
\nx = \\(\\frac{84}{72}\\)\u00a0 \u00d7 6
\nx = 7<\/p>\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key.png\")
<\/p>\n
Question 1.
\nShow each expression on a number line. Solve.
\na. \\(\\frac{2}{5}\\)+ \\(\\frac{1}{5}\\)
\nb. \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\)+ \\(\\frac{1}{3}\\)
\nc. \\(\\frac{3}{10}\\) + \\(\\frac{3}{10}\\) + \\(\\frac{3}{10}\\)
\nd. 2 \u00d7 \\(\\frac{3}{4}\\) + \\(\\frac{1}{4}\\)
\nAnswer:
\na. \\(\\frac{2}{5}\\)+ \\(\\frac{1}{5}\\) = \\(\\frac{3}{5}\\)
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and is divided into 5 parts .\\(\\frac{2}{5}\\) is marked from 0 and then \\(\\frac{1}{5}\\) is marked from it to get sum of \\(\\frac{3}{5}\\).
\nb. \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\)+ \\(\\frac{1}{3}\\) = \\(\\frac{3}{3}\\) = 1
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1-b\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-2.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and is divided into 3 parts .\\(\\frac{1}{3}\\) is marked from 0 and then \\(\\frac{1}{3}\\) is marked from it and again \\(\\frac{1}{3}\\) is marked to get sum of \\(\\frac{3}{3}\\) = 1
\nc. \\(\\frac{3}{10}\\) + \\(\\frac{3}{10}\\) + \\(\\frac{3}{10}\\)= \\(\\frac{9}{10}\\)
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1-c\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1-c.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and is divided into 10 parts .\\(\\frac{3}{10}\\) is marked from 0 and then \\(\\frac{3}{10}\\) is marked from it and again \\(\\frac{3}{10}\\) is marked to get sum of \\(\\frac{9}{10}\\).
\nd. 2 \u00d7 \\(\\frac{3}{4}\\) + \\(\\frac{1}{4}\\)
\n\\(\\frac{3}{4}\\) + \\(\\frac{3}{4}\\) + \\(\\frac{1}{4}\\) = \\(\\frac{7}{4}\\)
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1-d\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-1-d.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 2 and is divided into 8 parts .\\(\\frac{3}{4}\\) is marked from 0 and then \\(\\frac{3}{4}\\) is marked from it and again \\(\\frac{1}{4}\\) is marked to get sum of \\(\\frac{7}{4}\\).<\/p>\n
Question 2.
\nExpress each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show Part (a) on a number line.
\na. \\(\\frac{6}{7}\\)
\nb. \\(\\frac{9}{2}\\)
\nc. \\(\\frac{12}{10}\\)
\nd. \\(\\frac{27}{5}\\)
\nAnswer:
\na. \\(\\frac{6}{7}\\) = \\(\\frac{2}{7}\\) + \\(\\frac{2}{7}\\) + \\(\\frac{2}{7}\\)\u00a0 = 3\u00d7\u00a0\\(\\frac{2}{7}\\)
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-2-a\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-2-a.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and is divided into 7 parts .\\(\\frac{2}{7}\\) is marked from 0 and then \\(\\frac{2}{7}\\) is marked from it and again \\(\\frac{2}{7}\\) is marked to get sum of \\(\\frac{6}{7}\\).
\nb. \\(\\frac{9}{2}\\) = \\(\\frac{3}{2}\\) + \\(\\frac{3}{2}\\) + \\(\\frac{3}{2}\\) .= 3 \u00d7 \\(\\frac{3}{2}\\)
\nc. \\(\\frac{12}{10}\\) = \\(\\frac{6}{10}\\) +\\(\\frac{6}{10}\\)= 2\u00d7\\(\\frac{6}{10}\\)
\nd. \\(\\frac{27}{5}\\) = \\(\\frac{9}{5}\\) + \\(\\frac{9}{5}\\) + \\(\\frac{9}{5}\\)\u00a0 = 3\u00d7\\(\\frac{9}{5}\\)<\/p>\n
Question 3.
\nExpress each of the following as the sum of a whole number and a fraction. Show Parts (c) and (d) on number lines.
\na. \\(\\frac{9}{7}\\)
\nc. \\(\\frac{32}{7}\\)
\nd. \\(\\frac{24}{9}\\)
\nAnswer:
\na. \\(\\frac{9}{7}\\) =\\(\\frac{7}{7}\\) + \\(\\frac{2}{7}\\) .
\nc. \\(\\frac{32}{7}\\) = \\(\\frac{28}{7}\\) + \\(\\frac{4}{7}\\) = 4 + \\(\\frac{4}{7}\\).
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-3-c\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-3-c.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 5 and each whole is divided into 7 parts .4 is marked from 0 and then \\(\\frac{4}{7}\\) is marked from it to get sum of \\(\\frac{32}{7}\\).
\nd. \\(\\frac{24}{9}\\) = \\(\\frac{18}{9}\\) + \\(\\frac{6}{9}\\) = 2 + \\(\\frac{6}{9}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-3-d\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-3-d.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 3 and each 1 whole divided into 9 parts .2 is marked from 0 and then \\(\\frac{6}{9}\\) is marked from it to get sum of \\(\\frac{24}{9}\\).<\/p>\n
Question 4.
\nMarisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of ribbon did she cut? Express your answer as the sum of a whole number and the remaining fractional units. Draw a number line to represent the problem.
\nAnswer:
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-4\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Problem-Set-Answer-Key-Question-4.jpg\")
\nExplanation :
\nLength of each ribbon = \\(\\frac{5}{8}\\).
\nNumber of ribbons = 4
\nTotal Length of ribbon = \\(\\frac{5}{8}\\) + \\(\\frac{5}{8}\\) + \\(\\frac{5}{8}\\) + \\(\\frac{5}{8}\\) = \\(\\frac{20}{8}\\) .
\n\\(\\frac{20}{8}\\) = 2 + \\(\\frac{4}{8}\\) .<\/p>\n
Question 1. Question 2. Question 1. Question 2. Question 3. Question 4. Engage NY Eureka Math 5th Grade Module 3 Lesson 2 Answer Key Eureka Math Grade 5 Module 3 Lesson 2 Sprint Answer Key A Find the Missing Numerator or Denominator Question 1. = Answer: = Explanation : = x = \u00d7 4 x = x = 2 . Question 2. = Answer: = Explanation : … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":171487,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Eureka-Math-Grade-5-Module-3-Lesson-2-Answer-Key.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/63897"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=63897"}],"version-history":[{"count":3,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/63897\/revisions"}],"predecessor-version":[{"id":171490,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/63897\/revisions\/171490"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/171487"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=63897"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=63897"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=63897"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nShow each expression on a number line. Solve.
\na. \\(\\frac{5}{5}\\) + \\(\\frac{2}{5}\\)
\nb. \\(\\frac{6}{3}\\)+ \\(\\frac{2}{3}\\)
\nAnswer:
\na. \\(\\frac{5}{5}\\) + \\(\\frac{2}{5}\\) = \\(\\frac{7}{5}\\)
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Exit-Ticket-Answer-Key-Question-1-a\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Exit-Ticket-Answer-Key-Question-1-a.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 2 and each 1 whole divided into 5 parts .1 is marked from 0 and then \\(\\frac{2}{5}\\) is marked from it to get sum of \\(\\frac{7}{5}\\).
\nb. \\(\\frac{6}{3}\\)+ \\(\\frac{2}{3}\\) = 2 + \\(\\frac{2}{3}\\) = \\(\\frac{8}{3}\\)<\/span><\/p>\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Exit-Ticket-Answer-Key-Question-1-b\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Exit-Ticket-Answer-Key-Question-1-b.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 3 and each 1 whole divided into 3 parts .2 is marked from 0 and then \\(\\frac{2}{3}\\) is marked from it to get sum of \\(\\frac{8}{3}\\).<\/p>\n
\nExpress each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show Part (b) on a number line.
\na. \\(\\frac{6}{9}\\)
\nb. \\(\\frac{15}{4}\\)
\nAnswer:
\na. \\(\\frac{6}{9}\\) = \\(\\frac{3}{9}\\) + \\(\\frac{3}{9}\\) = 2 \u00d7 \\(\\frac{3}{9}\\)
\nb. \\(\\frac{15}{4}\\) = \\(\\frac{4}{4}\\) + \\(\\frac{4}{4}\\) + \\(\\frac{4}{4}\\) + \\(\\frac{3}{4}\\) = 3 + \\(\\frac{3}{4}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Exit-Ticket-Answer-Key-Question-2-b\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Exit-Ticket-Answer-Key-Question-2-b.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 4 and each 1 whole divided into 4 parts .3 is marked from 0 and then \\(\\frac{3}{4}\\) is marked from it to get sum of \\(\\frac{15}{4}\\).<\/p>\nEureka Math Grade 5 Module 3 Lesson 2 Homework Answer Key<\/h3>\n
\nShow each expression on a number line. Solve.
\na. \\(\\frac{4}{9}\\) + \\(\\frac{1}{9}\\)
\nb. \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\)
\nc. \\(\\frac{2}{7}\\) + \\(\\frac{2}{7}\\) + \\(\\frac{2}{7}\\)
\nd. 2 \u00d7 \\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\)
\nAnswer:
\na. \\(\\frac{4}{9}\\) + \\(\\frac{1}{9}\\) = \\(\\frac{5}{9}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-a\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-a.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and each 1 whole divided into 9 parts .\\(\\frac{4}{9}\\) is marked from 0 and then \\(\\frac{1}{9}\\) is marked from it to get sum of \\(\\frac{5}{9}\\).
\nb. \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) = \\(\\frac{4}{4}\\) = 1
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-b\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-b.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and each 1 whole divided into 4 parts .\\(\\frac{1}{4}\\) is marked from 0 and then \\(\\frac{1}{4}\\) is marked again\u00a0 \\(\\frac{1}{4}\\) and \\(\\frac{1}{4}\\) from it to get sum of \\(\\frac{4}{4}\\).
\nc. \\(\\frac{2}{7}\\) + \\(\\frac{2}{7}\\) + \\(\\frac{2}{7}\\) = \\(\\frac{6}{7}\\)
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-c\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-c.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 1 and each 1 whole divided into 7 parts .\\(\\frac{2}{7}\\) is marked from 0 and then \\(\\frac{2}{7}\\) is marked and again \\(\\frac{2}{7}\\) is marked from it to get sum of \\(\\frac{6}{7}\\).
\nd. 2 \u00d7 \\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{3}{5}\\) + \\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{7}{5}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-d\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-1-d.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 2 and each 1 whole divided into 5 parts .\\(\\frac{3}{5}\\) is marked from 0 and then \\(\\frac{3}{5}\\) is marked and \\(\\frac{1}{5}\\) from it to get sum of \\(\\frac{7}{5}\\).<\/p>\n
\nExpress each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show Part (a) on a number line.
\na. \\(\\frac{6}{11}\\)
\nb. \\(\\frac{9}{4}\\)
\nc. \\(\\frac{12}{8}\\)
\nd. \\(\\frac{27}{10}\\)
\nAnswer:
\na. \\(\\frac{6}{11}\\) = \\(\\frac{3}{11}\\) + \\(\\frac{3}{11}\\) = 2 \u00d7 \\(\\frac{3}{11}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-2-a\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-2-a.jpg\")
\nb. \\(\\frac{9}{4}\\) = \\(\\frac{3}{4}\\) + \\(\\frac{3}{4}\\) + \\(\\frac{3}{4}\\) = 3 \u00d7 \\(\\frac{3}{4}\\)
\nc. \\(\\frac{12}{8}\\) =\\(\\frac{4}{8}\\) + \\(\\frac{4}{8}\\) + \\(\\frac{4}{8}\\)= 3 \u00d7 \\(\\frac{4}{8}\\)
\nd. \\(\\frac{27}{10}\\) = \\(\\frac{9}{10}\\) + \\(\\frac{9}{10}\\) + \\(\\frac{9}{10}\\) = 3 \u00d7 \\(\\frac{9}{10}\\) .<\/p>\n
\nExpress each of the following as the sum of a whole number and a fraction. Show Parts (c) and (d) on number lines.
\na. \\(\\frac{9}{5}\\)
\nb. \\(\\frac{7}{2}\\)
\nc. \\(\\frac{25}{7}\\)
\nd. \\(\\frac{21}{9}\\)
\nAnswer:
\na. \\(\\frac{9}{5}\\) = \\(\\frac{5}{5}\\) + \\(\\frac{4}{5}\\) = 1 + \\(\\frac{4}{5}\\) .
\nb. \\(\\frac{7}{2}\\) = \\(\\frac{2}{2}\\) + \\(\\frac{2}{2}\\) + \\(\\frac{2}{2}\\) + \\(\\frac{1}{2}\\) =
\n1+ 1 + 1 + \\(\\frac{1}{2}\\) =\u00a0 3 + \\(\\frac{1}{2}\\) .
\nc. \\(\\frac{25}{7}\\) = \\(\\frac{7}{7}\\) + \\(\\frac{7}{7}\\) + \\(\\frac{7}{7}\\) + \\(\\frac{4}{7}\\) =\u00a0 \u00a0 \u00a0 1+ 1+ 1+ \\(\\frac{4}{7}\\) =3 + \\(\\frac{4}{7}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-3-c\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-3-c.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 4 and each 1 whole divided into 7 parts .3 1′ are marked from 0 and then \\(\\frac{4}{7}\\) is marked from it to get sum of \\(\\frac{25}{7}\\).
\nd. \\(\\frac{21}{9}\\) = \\(\\frac{9}{9}\\) + \\(\\frac{9}{9}\\) + \\(\\frac{3}{9}\\) = 1+ 1+ \\(\\frac{3}{9}\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \\) = 2 + \\(\\frac{3}{9}\\) .
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-3-d\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-3-d.jpg\")
\nExplanation :
\nNumber line is represented from 0 to 3 and each 1 whole divided into 9 parts .2 1’s are marked from 0 and then \\(\\frac{3}{9}\\) is marked from it to get sum of \\(\\frac{21}{9}\\).<\/p>\n
\nNatalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards she sawed? Express your answer as the sum of a whole number and the remaining fractional units. Draw a number line to represent the problem.
\nAnswer:
\n![\"Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-4\"](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Engage-NY-Eureka-Math-5th-Grade-Module-3-Lesson-2-Answer-Key-Eureka-Math-Grade-5-Module-3-Lesson-2-Home-Work-Answer-Key-Question-4.jpg\")
\nExplanation :
\nNumber of boards = 5
\nLength of each board = 9 tenths\u00a0 = \\(\\frac{9}{10}\\) .
\nTotal Length of board = 5 \u00d7 \\(\\frac{9}{10}\\) = \\(\\frac{45}{10}\\).
\n\\(\\frac{45}{10}\\) = \\(\\frac{10}{10}\\) + \\(\\frac{10}{10}\\) + \\(\\frac{10}{10}\\) + \\(\\frac{10}{10}\\) + \\(\\frac{5}{10}\\) = 1+ 1+ 1+ 1+ \\(\\frac{5}{10}\\) = 4 + \\(\\frac{5}{10}\\) .<\/p>\n","protected":false},"excerpt":{"rendered":"