{"id":60698,"date":"2022-05-21T15:33:13","date_gmt":"2022-05-21T10:03:13","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=60698"},"modified":"2022-05-10T14:21:08","modified_gmt":"2022-05-10T08:51:08","slug":"eureka-math-grade-4-module-5-lesson-14","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-4-module-5-lesson-14\/","title":{"rendered":"Eureka Math Grade 4 Module 5 Lesson 14 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 4th Grade Module 5 Lesson 14 Answer Key<\/h2>\n

Eureka Math Grade 4 Module 5 Lesson 14 Problem Set Answer Key<\/h3>\n

Question 1.
\nCompare the pairs of fractions by reasoning about the size of the units. Use >, <, or =.
\na. 1 fourth _____ 1 fifth<\/p>\n

Answer:
\n1 fourth\u00a0 = 1 fifth.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n1 fourth = 1\/4.
\n1\/4 = 0.25.
\n1 fifth = 1\/5.
\n1\/5 = 0.2.
\n0.25 = 0.2.
\n1\/4 = 1\/5.<\/p>\n

b. 3 fourths _____ 3 fifths<\/p>\n

Answer:
\n3 fourths\u00a0 > 3 fifths.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n3 fourths = 3\/4.
\n3\/4 = 0.75.
\n3 fifths = 3\/5.
\n3\/5 = 0.6.
\n0.75 > 0.6.
\n3\/4 > 3\/5.<\/p>\n

c. 1 tenth __>___ 1 twelfth<\/p>\n

Answer:
\n1 tenth\u00a0 > 1 twelfth.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n1 tenth = 1\/10.
\n1\/10 = 0.1.
\n1 twelfth = 1\/12.
\n1\/12 = 0.083.
\n0.1 > 0.08.
\n1\/10 > 1\/12.<\/p>\n

d. 7 tenths _____ 7 twelfths<\/p>\n

Answer:
\n7 tenths\u00a0 > 7 twelfths<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n7 tenths = 7\/10.
\n7\/10 = 0.7.
\n7 twelfths = 7\/12.
\n7\/12 = 0.58.
\n0.7 > 0.58.
\n7\/10 > 7\/12.<\/p>\n

Question 2.
\nCompare by reasoning about the following pairs of fractions with the same or related numerators.
\nUse >, <, or =. Explain your thinking using words, pictures, or numbers. Problem 2(b) has been done for you.
\na. \\(\\frac{3}{5}\\) _____ \\(\\frac{3}{4}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{5}\\) __<___ \\(\\frac{3}{4}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{5}\\).
\n3\/5 = 3 fifths.
\n3\/5 = 0.6.
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.75.
\n0.6 < 0.75.
\n3 fifths are less than 3 fourths.
\n3\/5 < 3\/4.<\/p>\n

b. \\(\\frac{2}{5}\\) < \\(\\frac{4}{9}\\) because \\(\\frac{2}{5}\\) = \\(\\frac{4}{10}\\)
\n4 tenths is less than 4 ninths because tenths are smaller than ninths.
\n\"Eureka<\/p>\n

Answer:
\n\\(\\frac{2}{5}\\) __>___ \\(\\frac{4}{9}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{5}\\).
\n2\/5 = 2 fifths.
\n2\/5 = 0.4.
\n\\(\\frac{4}{9}\\).
\n4\/9 = 4 ninths.
\n4\/9 = 0.11.
\n0.4 > 0.11.
\n2 fifths are greater than 4 ninths.
\n2\/5 > 4\/9.<\/p>\n

c. \\(\\frac{7}{11}\\) _____ \\(\\frac{7}{13}\\)<\/p>\n

Answer:
\n\\(\\frac{7}{11}\\) __>___ \\(\\frac{7}{13}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{7}{11}\\).
\n7\/11 = 7 elevenths.
\n7\/11 = 0.63.
\n\\(\\frac{7}{13}\\).
\n7\/13 = 7 thirteens.
\n7\/13 = 0.53.
\n0.6 > 0.5.
\n7 thirteens are less than 7 elevenths.
\n7\/11 > 7\/13.<\/p>\n

d. \\(\\frac{6}{7}\\) _____ \\(\\frac{12}{15}\\)<\/p>\n

Answer:
\n\\(\\frac{6}{7}\\) __<___ \\(\\frac{12}{15}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{6}{7}\\).
\n6\/7 = 6 sevenths.
\n6\/7 = 0.85.
\n\\(\\frac{2}{15}\\).
\n2\/15 = 2 fifteenths.
\n2\/15 = 0.13.
\n0.8 < 0.13.
\n6 sevenths are less than 12 fifteenths.
\n6\/7 < 12\/15.<\/p>\n

Question 3.
\nDraw two tape diagrams to model each pair of the following fractions with related denominators.
\nUse >, <, or = to compare.
\na. \\(\\frac{2}{3}\\) _____ \\(\\frac{5}{6}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{3}\\) __<___ \\(\\frac{5}{6}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.6.
\n\\(\\frac{5}{6}\\).
\n5\/6 = 5 sixths.
\n5\/6 = 0.83.
\n0.6 < 0.83.
\n2 thirds are less than 5 sixths.
\n2\/3 < 5\/6.<\/p>\n

b. \\(\\frac{3}{4}\\) _____ \\(\\frac{7}{8}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{4}\\) __<___ \\(\\frac{7}{8}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.6.
\n\\(\\frac{7}{8}\\).
\n7\/8 = 7 eighths.
\n7\/8 = 0.87.
\n0.6 < 0.8.
\n3 fourths are less than 7 eighths.
\n3\/4 < 7\/8.<\/p>\n

c. 1\\(\\frac{3}{4}\\) _____ 1\\(\\frac{7}{12}\\)<\/p>\n

Answer:
\n1\\(\\frac{3}{4}\\) __>___ 1\\(\\frac{7}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n1\\(\\frac{3}{4}\\).
\n1 (3\/4) = 7 fourths.
\n7\/4 = 1.75.
\n1\\(\\frac{7}{12}\\).
\n1(7\/12) = 19 twelfths.
\n19\/12 = 1.58.
\n1.75 > 1.58.
\n3 fourths are greater than 7 twelfths.
\n3\/4 > 7\/12.<\/p>\n

Question 4.
\nDraw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare.
\na. \\(\\frac{2}{3}\\) _____ \\(\\frac{5}{6}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{3}\\) __<___ \\(\\frac{5}{6}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.6.
\n\\(\\frac{5}{6}\\).
\n5\/6 = 5 sixths.
\n5\/6 = 0.83.
\n0.6 < 0.83.
\n2 thirds are less than 5 sixths.
\n2\/3 < 5\/6.<\/p>\n

b. \\(\\frac{3}{8}\\) _____ \\(\\frac{1}{4}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{8}\\) __>__ \\(\\frac{1}{4}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{8}\\).
\n3\/8 = 3 eights.
\n3\/8 = 0.37.
\n\\(\\frac{1}{4}\\).
\n1\/4 = 1 fourths.
\n1\/4 = 0.25.
\n0.37 > 0.25.
\n3 eights are greater than 1 fourth.
\n3\/8 > 1\/4.<\/p>\n

c. \\(\\frac{2}{6}\\) _____ \\(\\frac{5}{12}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{6}\\) __<___ \\(\\frac{5}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{6}\\).
\n2\/6 = 2 sixths.
\n2\/6 = 0.33.
\n\\(\\frac{5}{12}\\).
\n5\/12 = 5 twelfths.
\n5\/12 = 0.41.
\n0.33 < 0.41.
\n2 sixths are less than 5 twelfths.
\n2\/6 < 5\/12.<\/p>\n

d. \\(\\frac{8}{9}\\) _____ \\(\\frac{2}{3}\\)<\/p>\n

Answer:
\n\\(\\frac{8}{9}\\) __>___ \\(\\frac{2}{3}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{8}{9}\\).
\n8\/9 = 8 ninths.
\n8\/9 = 0.88.
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.66.
\n0.88 > 0.66.
\n8 ninths are greater than 2 thirds.
\n8\/9 > 2\/9.<\/p>\n

Question 5.
\nCompare each pair of fractions using >, <, or =. Draw a model if you choose to.<\/p>\n

a. \\(\\frac{3}{4}\\) _____ \\(\\frac{3}{7}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{4}\\) __<___ \\(\\frac{3}{7}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.75.
\n\\(\\frac{3}{7}\\).
\n3\/7 = 3 sevenths.
\n3\/7 = 0.42.
\n0.75 > 0.42.
\n3 fourths are greater than 3 sevenths.
\n3\/4 > 3\/7.<\/p>\n

b. \\(\\frac{4}{5}\\) _____ \\(\\frac{8}{12}\\)<\/p>\n

Answer:
\n\\(\\frac{4}{5}\\) __<___ \\(\\frac{8}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{4}{5}\\).
\n4\/5 = 4 fifths.
\n4\/5 = 0.8.
\n\\(\\frac{8}{12}\\).
\n8\/12 = 8 twelfths.
\n8\/12 = 0.66.
\n0.8 > 0.6.
\n4 fifths are greater than 8 twelfths.
\n4\/5 > 8\/12.<\/p>\n

c. \\(\\frac{3}{10}\\) _____ \\(\\frac{3}{5}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{10}\\) __<___ \\(\\frac{3}{5}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{10}\\).
\n3\/10 = 3 tenths.
\n3\/10 = 0.3.
\n\\(\\frac{3}{5}\\).
\n3\/5 = 3 fifths.
\n3\/5 = 0.6.
\n0.3 < 0.6.
\n3 tenths are less than 3 fifths.
\n3\/10 < 3\/5.<\/p>\n

d. \\(\\frac{2}{3}\\) _____ \\(\\frac{11}{15}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{3}\\) __<___ \\(\\frac{11}{15}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.6.
\n\\(\\frac{11}{15}\\).
\n11\/15 = 11 fifteenths.
\n11\/15 = 0.73.
\n0.6 < 0.73.
\n2 thirds are less than 11 fifteenths.
\n2\/3 < 11\/15.<\/p>\n

e. \\(\\frac{3}{4}\\) _____ \\(\\frac{11}{12}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{4}\\) __<___ \\(\\frac{11}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.6.
\n\\(\\frac{11}{12}\\).
\n11\/12 = 11 twelfths.
\n11\/12 = 0.91.
\n0.6 < 0.91
\n3 fourths are less than 11 twelths.
\n3\/4 < 11\/12.<\/p>\n

f. \\(\\frac{7}{3}\\) _____ \\(\\frac{7}{4}\\)<\/p>\n

Answer:
\n\\(\\frac{7}{3}\\) __>___ \\(\\frac{7}{4}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{7}{3}\\).
\n7\/3 = 7 thirds.
\n7\/3 = 2.33.
\n\\(\\frac{7}{4}\\).
\n7\/4 = 7 fourths.
\n7\/4 = 1.75.
\n2.33 > 1.75.
\n7 thirds are greater than 7 fourths.
\n7\/3 < 7\/4.<\/p>\n

g. 1\\(\\frac{1}{3}\\) _____ 1\\(\\frac{2}{9}\\)<\/p>\n

Answer:
\n\\(\\frac{1}{3}\\) __<___ \\(\\frac{2}{9}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{3}\\).
\n1\/3 = 1 thirds.
\n1\/3 = 0.33.
\n\\(\\frac{2}{9}\\).
\n2\/9 = 2 ninths.
\n2\/9 = 0.22.
\n0.33 > 0.22.
\n1 third is greater than 2 ninths.
\n1\/3 > 2\/9.<\/p>\n

h. 1\\(\\frac{2}{3}\\) _____ 1\\(\\frac{4}{7}\\)<\/p>\n

Answer:
\n1\\(\\frac{2}{3}\\) __>___ 1\\(\\frac{4}{7}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n1\\(\\frac{2}{3}\\).
\n1(2\/3) = 5 thirds.
\n5\/3 = 1.66.
\n1\\(\\frac{4}{7}\\).
\n1(4\/7) = 11 sevenths.
\n11\/7 = 1.57.
\n1.66 > 1.57.
\n5 thirds are greater than 11 sevenths.
\n5\/3 > 11\/7.<\/p>\n

Question 6.
\nTimmy drew the picture to the right and claimed that \\(\\frac{2}{3}\\) is less than \\(\\frac{7}{12}\\). Evan says he thinks \\(\\frac{2}{3}\\) is greater than \\(\\frac{7}{12}\\). Who is correct? Support your answer with a picture.
\n\"Eureka<\/p>\n

Answer:
\nEvan is correct.
\n\\(\\frac{2}{3}\\) __>__ \\(\\frac{7}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.6.
\n\\(\\frac{7}{12}\\).
\n7\/12 = 7 twelfths.
\n7\/12 = 0.58.
\n0.6 > 0.58.
\n2 thirds are greater than 7 twelfths.
\n2\/3 > 7\/12.<\/p>\n

Eureka Math Grade 4 Module 5 Lesson 14 Exit Ticket Answer Key<\/h3>\n

Question 1.
\nDraw tape diagrams to compare the following fractions:
\n\\(\\frac{2}{5}\\) ________ \\(\\frac{3}{10}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{5}\\) __>___ \\(\\frac{3}{10}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{5}\\).
\n2\/5 = 2 fifths.
\n2\/5 = 0.4.
\n\\(\\frac{3}{10}\\).
\n3\/10 = 3 tenths.
\n3\/10 = 0.3.
\n0.4 > 0.3.
\n2 fifths are greater than 3 tenths.
\n2\/5 > 3\/10.<\/p>\n

Question 2.
\nUse a number line to compare the following fractions:
\n\\(\\frac{4}{3}\\) ________ \\(\\frac{7}{6}\\)<\/p>\n

Answer:
\n\\(\\frac{4}{3}\\) __>___ \\(\\frac{7}{6}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{4}{3}\\).
\n4\/3 = 4 thirds.
\n4\/3 = 1.33.
\n\\(\\frac{7}{6}\\).
\n7\/6 = 7 sixths.
\n7\/6 = 1.16.
\n1.33 > 1.16.
\n4 thirds are greater than 7 sixths.
\n4\/3 > 7\/6.<\/p>\n

\"Engage<\/p>\n

Eureka Math Grade 4 Module 5 Lesson 14 Homework Answer Key<\/h3>\n

Question 1.
\nCompare the pairs of fractions by reasoning about the size of the units. Use >, <, or =.
\na. 1 third _____ 1 sixth<\/p>\n

Answer:
\n1 third\u00a0 > 1 sixth.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n1 third = 1\/3.
\n1\/3 = 0.33.
\n1 sixth = 1\/6.
\n1\/6 = 0.1.
\n0.33 > 0.1.
\n1\/3 > 1\/6.<\/p>\n

b. 2 halves _____ 2 thirds<\/p>\n

Answer:
\n2 halves\u00a0 = 2 thirds.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n2 halves = 2\/2.
\n2\/2 = 1.
\n2 thirds = 2\/3.
\n2\/3 = 0.66
\n1 > 0.66.
\n2\/2 > 2\/3.<\/p>\n

c. 2 fourths _____ 2 sixths<\/p>\n

Answer:
\n2 fourths\u00a0 > 2 sixths.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n2 fourths = 2\/4.
\n2\/4 = 0.5.
\n2 sixths = 2\/6.
\n2\/6 = 0.33.
\n0.5 > 0.33.
\n2\/4 > 2\/6.<\/p>\n

d. 5 eighths _____ 5 tenths<\/p>\n

Answer:
\n5 eights\u00a0 > 5 tenth.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\ncompare the pairs of fractions by reasoning about the size of the units.
\n5 eights = 5\/8.
\n5\/8 = 0.625.
\n5 tenths = 5\/10.
\n5\/10 = 0.5.
\n0.625 > 0.5.
\n5\/8 > 5\/10.<\/p>\n

Question 2.
\nCompare by reasoning about the following pairs of fractions with the same or related numerators.
\nUse >, <, or =. Explain your thinking using words, pictures, or numbers. Problem 2(b) has been done for you.
\na. \\(\\frac{3}{6}\\) __________ \\(\\frac{3}{7}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{6}\\) __>___ \\(\\frac{3}{7}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{6}\\).
\n3\/6 = 3 sixths.
\n3\/6 = 0.5.
\n\\(\\frac{3}{7}\\).
\n3\/7 = 3 sevenths.
\n3\/7 = 0.42.
\n0.5 > 0.42.
\n3 sixths are greater than 3 sevenths.
\n3\/6 > 3\/7.<\/p>\n

b. \\(\\frac{2}{5}\\) < \\(\\frac{4}{9}\\) because \\(\\frac{2}{5}\\) = \\(\\frac{4}{10}\\)
\n4 tenths is less than 4 ninths because tenths are smaller than ninths.
\n\"Eureka<\/p>\n

c. \\(\\frac{3}{11}\\) _________ \\(\\frac{3}{13}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{11}\\) __>___ \\(\\frac{3}{13}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{11}\\).
\n3\/11 = 3 elevenths.
\n3\/11 = 0.27.
\n\\(\\frac{3}{13}\\).
\n3\/13 = 3 elevenths.
\n3\/13 = 0.23.
\n0.27 > 0.23.
\n3 elevenths are greater than 3 thirteens.
\n3\/11 > 3\/13.<\/p>\n

d. \\(\\frac{5}{7}\\) _________ \\(\\frac{10}{13}\\)<\/p>\n

Answer:
\n\\(\\frac{5}{7}\\) __>___ \\(\\frac{10}{13}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{7}\\).
\n5\/7 = 5 sevenths.
\n5\/7 = 1.33.
\n\\(\\frac{10}{13}\\).
\n10\/13 = 10 thirteens.
\n10\/13 = 0.769
\n1.33 > 0.769.
\n5 sevenths are greater than 10 thirteens.
\n5\/7 > 10\/13.<\/p>\n

c. \\(\\frac{3}{11}\\) ______ \\(\\frac{3}{13}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{11}\\) __>___ \\(\\frac{3}{13}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{11}\\).
\n3\/11 = 3 elevenths.
\n3\/11 = 0.27.
\n\\(\\frac{3}{13}\\).
\n3\/13 = 3 elevens.
\n3\/13 = 0.23.
\n0.27 > 0.23.
\n3 elevens are greater than 3 thirteens.
\n3\/11 > 3\/13.<\/p>\n

d. \\(\\frac{5}{7}\\) _______ \\(\\frac{10}{13}\\)<\/p>\n

Answer:
\n\\(\\frac{5}{7}\\) __<___ \\(\\frac{10}{13}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{7}\\).
\n5\/7 = 5 sevens.
\n4\/3 = 1.33.
\n\\(\\frac{10}{13}\\).
\n10\/13 = 10 thirteens.
\n10\/13 = 3.33
\n1.33 < 3.33.
\n5 sevens are greater than 10 thirteens.
\n5\/7 < 10\/13.<\/p>\n

Question 3.
\nDraw two tape diagrams to model each pair of the following fractions with related denominators. Use >, <, or = to compare.
\na. \\(\\frac{3}{4}\\) _________ \\(\\frac{7}{12}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{4}\\) __>___ \\(\\frac{7}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fours.
\n3\/4 = 0.75.
\n\\(\\frac{7}{12}\\).
\n7\/12 = 7 twelves.
\n7\/12 = 0.58.
\n0.75 > 0.58.
\n3 fourths are greater than 7 twelves.
\n3\/4 > 7\/12.<\/p>\n

b. \\(\\frac{2}{4}\\) ___________ \\(\\frac{1}{8}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{4}\\) __>___ \\(\\frac{1}{8}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{4}\\).
\n2\/4 = 2 fourths.
\n2\/4 = 0.5.
\n\\(\\frac{1}{8}\\).
\n1\/8 = 1 eights.
\n1\/8 = 0.125.
\n0.5 > 0.125
\n2 fourths are greater than 1 eights.
\n2\/34 > 1\/8.<\/p>\n

c. 1\\(\\frac{4}{10}\\) ________ 1\\(\\frac{3}{5}\\)<\/p>\n

Answer:
\n\\(\\frac{4}{10}\\) __<___ \\(\\frac{3}{5}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{4}{10}\\).
\n4\/10 = 4 tenths.
\n4\/10 = 0.4.
\n\\(\\frac{3}{5}\\).
\n3\/5 = 3 fifths.
\n3\/5 = 0.6.
\n0.4 < 0.6.
\n4 tens are greater than 3 fives.
\n4\/10 < 3\/5.<\/p>\n

Question 4.
\nDraw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare.
\na. \\(\\frac{3}{4}\\) _________ \\(\\frac{5}{8}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{4}\\) __>___ \\(\\frac{5}{8}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.75
\n\\(\\frac{5}{8}\\).
\n5\/8 = 5 eights.
\n5\/8 = 0.625.
\n0.75 > 0.625.
\n3 fourths are greater than 5 eights.
\n3\/4 > 7\/6.<\/p>\n

b. \\(\\frac{11}{12}\\) _________ \\(\\frac{3}{4}\\)<\/p>\n

Answer:
\n\\(\\frac{11}{12}\\) __>___ \\(\\frac{3}{4}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{11}{12}\\).
\n11\/12 = 11 twelves.
\n11\/12 = 0.91.
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.75
\n0.91 > 0.75.
\n11 twelves are greater than 3 fourths.
\n11\/12 > 3\/4.<\/p>\n

c. \\(\\frac{4}{5}\\) _________ \\(\\frac{7}{10}\\)<\/p>\n

Answer:
\n\\(\\frac{4}{5}\\) __>___ \\(\\frac{7}{10}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{4}{5}\\).
\n4\/5 = 4 fifths.
\n4\/5 = 0.8
\n\\(\\frac{7}{10}\\).
\n7\/10 = 7 tenths.
\n7\/10 = 0.7.
\n0.8 > 0.7.
\n4 fifths are greater than 7 tenths.
\n4\/5 > 7\/10.<\/p>\n

d. \\(\\frac{8}{9}\\) _________ \\(\\frac{2}{3}\\)<\/p>\n

Answer:
\n\\(\\frac{8}{9}\\) __>___ \\(\\frac{2}{3}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{8}{9}\\).
\n8\/9 = 8 ninths.
\n8\/9 = 0.88.
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.66.
\n0.88 > 0.66.
\n8 ninths are greater than 2 thirds.
\n8\/9 > 2\/3.<\/p>\n

Question 5.
\nCompare each pair of fractions using >, <, or =. Draw a model if you choose to.<\/p>\n

a. \\(\\frac{1}{7}\\) ________ \\(\\frac{2}{7}\\)<\/p>\n

Answer:
\n\\(\\frac{1}{7}\\) __<___ \\(\\frac{2}{7}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{7}\\).
\n1\/7 = 1 sevenths.
\n1\/37 = 0.027.
\n\\(\\frac{2}{7}\\).
\n2\/7 = 2 sevenths.
\n2\/8 = 0.25.
\n1.33 < 1.16.
\n1 seventh is less than 2 sevenths.
\n1\/7 <\u00a0 2\/7.<\/p>\n

b. \\(\\frac{5}{7}\\) _______ \\(\\frac{11}{14}\\)<\/p>\n

Answer:
\n\\(\\frac{5}{7}\\) __>___ \\(\\frac{11}{14}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{7}\\).
\n5\/3 = 5 thirds.
\n5\/3 = 1.6.
\n\\(\\frac{11}{14}\\).
\n11\/14 = 11 fourteens.
\n11\/14 = 2.75.
\n1.6 < 2.75
\n5 sevens are less than 11 fourteens.
\n5\/7 < 11\/14.<\/p>\n

c. \\(\\frac{7}{10}\\) _________ \\(\\frac{3}{5}\\)<\/p>\n

Answer:
\n\\(\\frac{7}{10}\\) __>___ \\(\\frac{3}{5}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{7}{10}\\).
\n7\/10 = 7 tenths.
\n7\/10 = 0.7.
\n\\(\\frac{3}{5}\\).
\n3\/5 = 3 fifths.
\n3\/5 = 0.6.
\n0.7 > 0.6.
\n7 tenths are greater than 3 fifths.
\n7\/10 > 3\/5.<\/p>\n

d. \\(\\frac{2}{3}\\) ________ \\(\\frac{9}{15}\\)<\/p>\n

Answer:
\n\\(\\frac{2}{3}\\) __=___ \\(\\frac{9}{15}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{3}\\).
\n2\/3 = 2 thirds.
\n2\/3 = 0.66.
\n\\(\\frac{9}{15}\\).
\n9\/15 = 9 fifteens.
\n9\/15 = 0.6.
\n0.66 = 0.6.
\n2 thirds is equal to\u00a0 9 fifteens.
\n2\/3 = 9\/15.<\/p>\n

e. \\(\\frac{3}{4}\\) _________ \\(\\frac{9}{12}\\)<\/p>\n

Answer:
\n\\(\\frac{3}{4}\\) __>___ \\(\\frac{9}{12}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\).
\n3\/4 = 3 fourths.
\n3\/4 = 0.75
\n\\(\\frac{9}{12}\\).
\n9\/12 = 9 twelfths.
\n9\/12 = 0.75.
\n0.75 = 0.75.
\n3 fourths are equal to 9 twelfths.
\n3\/4 = 9\/12.<\/p>\n

f. \\(\\frac{5}{3}\\) ________ \\(\\frac{5}{2}\\)<\/p>\n

Answer:
\n\\(\\frac{5}{3}\\) __<___ \\(\\frac{5}{2}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{3}\\).
\n5\/3 = 5 thirds.
\n5\/3 = 1.66.
\n\\(\\frac{5}{2}\\).
\n5\/2 = 5 twos.
\n5\/2 = 2.5.
\n1.66 < 2.5.
\n5 thirds less than 5 twos.
\n5\/3 < 5\/2.<\/p>\n

Question 6.
\nSimon claims \\(\\frac{4}{9}\\) is greater than \\(\\frac{1}{3}\\). Ted thinks \\(\\frac{4}{9}\\) is less than \\(\\frac{1}{3}\\). Who is correct? Support your answer with a picture.<\/p>\n

Answer:
\n\\(\\frac{4}{9}\\) __>___ \\(\\frac{1}{3}\\).<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{4}{9}\\).
\n4\/9 = 4 nines.
\n4\/9 = 0.44.
\n\\(\\frac{1}{3}\\).
\n1\/3 = 1 thirds.
\n1\/3 = 0.33.
\n0.44 > 0.33.
\n4 nines are greater than 1 third.
\n4\/9 > 1\/3.<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 4th Grade Module 5 Lesson 14 Answer Key Eureka Math Grade 4 Module 5 Lesson 14 Problem Set Answer Key Question 1. Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =. a. 1 fourth _____ 1 fifth Answer: 1 fourth\u00a0 = 1 … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60698"}],"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=60698"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60698\/revisions"}],"predecessor-version":[{"id":136688,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60698\/revisions\/136688"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=60698"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=60698"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=60698"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}