Eureka Math Grade 5 Module 3 Lesson 14 Answer Key

Engage NY Eureka Math 5th Grade Module 3 Lesson 14 Answer Key

Eureka Math Grade 5 Module 3 Lesson 14 Sprint Answer Key

A
Make Larger Units
Engage NY Math 5th Grade Module 3 Lesson 14 Sprint Answer Key 1

Question 1.
\(\frac{2}{4}\) =
Answer:
\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)
Explanation :
Multiply numerator and denominator by 2 to make the given fraction into a bigger fraction .

Question 2.
\(\frac{2}{6}\) =
Answer:
\(\frac{2}{6}\) = \(\frac{2 × 2}{6 × 2}\) = \(\frac{4}{12}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 3.
\(\frac{2}{8}\) =
Answer:
\(\frac{2}{8}\) = \(\frac{2 × 2}{8 × 2}\) = \(\frac{4}{16}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 4.
\(\frac{5}{10}\) =
Answer:
\(\frac{5}{10}\) = \(\frac{5 × 2}{10 × 2}\) = \(\frac{10}{20}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 5.
\(\frac{5}{15}\) =
Answer:
\(\frac{5}{15}\) = \(\frac{5 × 2}{15 × 2}\) = \(\frac{10}{30}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 6.
\(\frac{5}{20}\) =
Answer:
\(\frac{5}{20}\) = \(\frac{5 × 2}{20 × 2}\) = \(\frac{10}{40}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 7.
\(\frac{4}{8}\) =
Answer:
\(\frac{4}{8}\) = \(\frac{4 × 2}{8 × 2}\) = \(\frac{8}{16}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 8.
\(\frac{4}{12}\) =
Answer:
\(\frac{4}{12}\) = \(\frac{4 × 2}{12 × 2}\) = \(\frac{8}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 9.
\(\frac{4}{16}\) =
Answer:
\(\frac{4}{16}\) = \(\frac{4 × 2}{16 × 2}\) = \(\frac{8}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 10.
\(\frac{3}{6}\) =
Answer:
\(\frac{3}{6}\) = \(\frac{3 × 2}{6 × 2}\) = \(\frac{6}{12}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 11.
\(\frac{3}{9}\) =
Answer:
\(\frac{3}{9}\) = \(\frac{3 × 2}{9 × 2}\) = \(\frac{6}{18}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 12.
\(\frac{3}{12}\) =
Answer:
\(\frac{3}{12}\) = \(\frac{3 × 2}{12 × 2}\) = \(\frac{6}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 13.
\(\frac{4}{6}\) =
Answer:
\(\frac{4}{6}\) = \(\frac{4 × 2}{6 × 2}\) = \(\frac{8}{12}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 14.
\(\frac{6}{12}\) =
Answer:
\(\frac{6}{12}\) = \(\frac{6 × 2}{12 × 2}\) = \(\frac{12}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 15.
\(\frac{6}{18}\) =
Answer:
\(\frac{6}{8}\) = \(\frac{6 × 2}{8 × 2}\) = \(\frac{12}{16}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 16.
\(\frac{6}{30}\) =
Answer:
\(\frac{6}{30}\) = \(\frac{6 × 2}{30 × 2}\) = \(\frac{12}{60}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 17.
\(\frac{6}{9}\) =
Answer:
\(\frac{6}{9}\) = \(\frac{6 × 2}{9 × 2}\) = \(\frac{12}{18}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 18.
\(\frac{7}{14}\) =
Answer:
\(\frac{7}{14}\) = \(\frac{7 × 2}{14 × 2}\) = \(\frac{14}{28}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 19.
\(\frac{7}{21}\) =
Answer:
\(\frac{7}{21}\) = \(\frac{7 × 2}{21 × 2}\) = \(\frac{14}{42}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 20.
\(\frac{7}{42}\) =
Answer:
\(\frac{7}{42}\) = \(\frac{7 × 2}{42 × 2}\) = \(\frac{14}{84}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 21.
\(\frac{8}{12}\) =
Answer:
\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 22.
\(\frac{9}{18}\) =
Answer:
\(\frac{9}{18}\) = \(\frac{9 × 2}{18 × 2}\) = \(\frac{18}{36}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 23.
\(\frac{9}{27}\) =
Answer:
\(\frac{9}{18}\) = \(\frac{9 × 2}{27 × 2}\) = \(\frac{18}{54}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 24.
\(\frac{2}{4}\) =
Answer:
\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 25.
\(\frac{8}{12}\) =
Answer:
\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 26.
\(\frac{8}{16}\) =
Answer:
\(\frac{8}{16}\) = \(\frac{8 × 2}{16 × 2}\) = \(\frac{16}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 27.
\(\frac{8}{24}\) =
Answer:
\(\frac{8}{24}\) = \(\frac{8 × 2}{24 × 2}\) = \(\frac{16}{48}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 28.
\(\frac{8}{64}\) =
Answer:
\(\frac{8}{64}\) = \(\frac{8 × 2}{64 × 2}\) = \(\frac{16}{128}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 29.
\(\frac{12}{18}\) =
Answer:
\(\frac{12}{18}\) = \(\frac{12 × 2}{18 × 2}\) = \(\frac{24}{36}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 30.
\(\frac{12}{16}\) =
Answer:
\(\frac{12}{16}\) = \(\frac{12 × 2}{16 × 2}\) = \(\frac{24}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 31.
\(\frac{9}{12}\) =
Answer:
\(\frac{9}{12}\) = \(\frac{9 × 2}{12 × 2}\) = \(\frac{18}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 32.
\(\frac{6}{8}\) =
Answer:
\(\frac{6}{8}\) = \(\frac{6 × 2}{8 × 2}\) = \(\frac{12}{16}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 33.
\(\frac{10}{12}\) =
Answer:
\(\frac{10}{12}\) = \(\frac{10 × 2}{12 × 2}\) = \(\frac{20}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 34.
\(\frac{15}{18}\) =
Answer:
\(\frac{15}{18}\) = \(\frac{15 × 2}{18 × 2}\) = \(\frac{30}{36}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 35.
\(\frac{8}{10}\) =
Answer:
\(\frac{8}{10}\) = \(\frac{8 × 2}{10 × 2}\) = \(\frac{16}{20}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 36.
\(\frac{16}{20}\) =
Answer:
\(\frac{16}{20}\) = \(\frac{16 × 2}{20 × 2}\) = \(\frac{32}{40}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 37.
\(\frac{12}{15}\) =
Answer:
\(\frac{12}{15}\) = \(\frac{12 × 2}{15 × 2}\) = \(\frac{24}{30}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 38.
\(\frac{18}{27}\) =
Answer:
\(\frac{18}{27}\) = \(\frac{18 × 2}{27 × 2}\) = \(\frac{36}{54}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 39.
\(\frac{27}{36}\) =
Answer:
\(\frac{27}{36}\) = \(\frac{27 × 2}{36 × 2}\) = \(\frac{54}{72}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 40.
\(\frac{32}{40}\) =
Answer:
\(\frac{32}{40}\) = \(\frac{32 × 2}{40 × 2}\) = \(\frac{64}{80}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 41.
\(\frac{45}{54}\) =
Answer:
\(\frac{45}{54}\) = \(\frac{45 × 2}{54 × 2}\) = \(\frac{90}{108}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 42.
\(\frac{24}{36}\) =
Answer:
\(\frac{24}{36}\) = \(\frac{24 × 2}{36 × 2}\) = \(\frac{48}{72}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 43.
\(\frac{60}{72}\) =
Answer:
\(\frac{60}{72}\) = \(\frac{60 × 2}{72 × 2}\) = \(\frac{120}{144}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 44.
\(\frac{48}{60}\) =
Answer:
\(\frac{48}{60}\) = \(\frac{48 × 2}{60 × 2}\) = \(\frac{96}{120}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

B
Make Larger Units
Engage NY Math 5th Grade Module 3 Lesson 14 Sprint Answer Key 2

Question 1.
\(\frac{5}{10}\) =
Answer:
\(\frac{5}{10}\) = \(\frac{5 × 2}{10 × 2}\) = \(\frac{10}{20}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 2.
\(\frac{5}{15}\) =
Answer:
\(\frac{5}{15}\) = \(\frac{5 × 2}{15 × 2}\) = \(\frac{10}{30}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 3.
\(\frac{5}{20}\) =
Answer:
\(\frac{5}{20}\) = \(\frac{5 × 2}{20 × 2}\) = \(\frac{10}{40}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 4.
\(\frac{2}{4}\) =
Answer:
\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 5.
\(\frac{2}{6}\) =
Answer:
\(\frac{2}{6}\) = \(\frac{2 × 2}{6 × 2}\) = \(\frac{4}{12}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 6.
\(\frac{2}{8}\) =
Answer:
\(\frac{2}{8}\) = \(\frac{2 × 2}{8 × 2}\) = \(\frac{4}{16}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 7.
\(\frac{3}{6}\) =
Answer:
\(\frac{3}{6}\) = \(\frac{3 × 2}{6 × 2}\) = \(\frac{5}{12}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 8.
\(\frac{3}{9}\) =
Answer:
\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 9.
\(\frac{3}{12}\) =
Answer:
\(\frac{3}{12}\) = \(\frac{3 × 2}{12 × 2}\) = \(\frac{6}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 10.
\(\frac{4}{8}\) =
Answer:
\(\frac{4}{8}\) = \(\frac{4 × 2}{8 × 2}\) = \(\frac{8}{16}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 11.
\(\frac{4}{12}\) =
Answer:
\(\frac{4}{12}\) = \(\frac{4 × 2}{12 × 2}\) = \(\frac{8}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 12.
\(\frac{4}{16}\) =
Answer:
\(\frac{4}{16}\) = \(\frac{4 × 2}{16 × 2}\) = \(\frac{8}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 13.
\(\frac{4}{6}\) =
Answer:
\(\frac{4}{6}\) = \(\frac{4 × 2}{6 × 2}\) = \(\frac{8}{12}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 14.
\(\frac{7}{14}\) =
Answer:
\(\frac{7}{14}\) = \(\frac{7 × 2}{14 × 2}\) = \(\frac{14}{28}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 15.
\(\frac{7}{21}\) =
Answer:
\(\frac{7}{21}\) = \(\frac{7 × 2}{21 × 2}\) = \(\frac{14}{42}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 16.
\(\frac{7}{35}\) =
Answer:
\(\frac{7}{35}\) = \(\frac{7 × 2}{35 × 2}\) = \(\frac{14}{70}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 17.
\(\frac{6}{9}\) =
Answer:
\(\frac{6}{9}\) = \(\frac{6 × 2}{9 × 2}\) = \(\frac{12}{18}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 18.
\(\frac{6}{12}\) =
Answer:
\(\frac{6}{12}\) = \(\frac{6 × 2}{12 × 2}\) = \(\frac{12}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 19.
\(\frac{6}{18}\) =
Answer:
\(\frac{6}{18}\) = \(\frac{6 × 2}{18 × 2}\) = \(\frac{12}{36}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 20.
\(\frac{6}{36}\) =
Answer:
\(\frac{6}{36}\) = \(\frac{6 × 2}{36 × 2}\) = \(\frac{12}{72}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 21.
\(\frac{8}{12}\) =
Answer:
\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 22.
\(\frac{8}{16}\) =
Answer:
\(\frac{8}{16}\) = \(\frac{8 × 2}{16 × 2}\) = \(\frac{16}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 23.
\(\frac{8}{24}\) =
Answer:
\(\frac{8}{24}\) = \(\frac{8 × 2}{24 × 2}\) = \(\frac{16}{48}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 24.
\(\frac{8}{56}\) =
Answer:
\(\frac{8}{56}\) = \(\frac{8 × 2}{56 × 2}\) = \(\frac{16}{112}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 25.
\(\frac{8}{12}\) =
Answer:
\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 26.
\(\frac{9}{18}\) =
Answer:
\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 27.
\(\frac{9}{27}\) =
Answer:
\(\frac{9}{27}\) = \(\frac{9 × 2}{27 × 2}\) = \(\frac{18}{54}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 28.
\(\frac{9}{72}\) =
Answer:
\(\frac{9}{72}\) = \(\frac{9 × 2}{72 × 2}\) = \(\frac{18}{144}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 29.
\(\frac{12}{18}\) =
Answer:
\(\frac{12}{18}\) = \(\frac{12 × 2}{18 × 2}\) = \(\frac{24}{36}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 30.
\(\frac{12}{16}\) =
Answer:
\(\frac{12}{16}\) = \(\frac{12 × 2}{16 × 2}\) = \(\frac{24}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 31.
\(\frac{9}{12}\) =
Answer:
\(\frac{9}{12}\) = \(\frac{9 × 2}{12 × 2}\) = \(\frac{18}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 32.
\(\frac{12}{16}\) =
Answer:
\(\frac{12}{16}\) = \(\frac{12 × 2}{16 × 2}\) = \(\frac{24}{32}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 33.
\(\frac{8}{10}\) =
Answer:
\(\frac{8}{10}\) = \(\frac{8 × 2}{10 × 2}\) = \(\frac{16}{20}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 34.
\(\frac{16}{20}\) =
Answer:
\(\frac{16}{20}\) = \(\frac{16 × 2}{20 × 2}\) = \(\frac{32}{40}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 35.
\(\frac{12}{15}\) =
Answer:
\(\frac{12}{15}\) = \(\frac{12 × 2}{15 × 2}\) = \(\frac{24}{30}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 36.
\(\frac{10}{12}\) =
Answer:
\(\frac{10}{12}\) = \(\frac{10 × 2}{12 × 2}\) = \(\frac{20}{24}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 37.
\(\frac{15}{18}\) =
Answer:
\(\frac{15}{18}\) = \(\frac{15 × 2}{18 × 2}\) = \(\frac{30}{36}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 38.
\(\frac{16}{24}\) =
Answer:
\(\frac{16}{24}\) = \(\frac{16 × 2}{24 × 2}\) = \(\frac{32}{48}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 39.
\(\frac{24}{32}\) =
Answer:
\(\frac{24}{32}\) = \(\frac{24 × 2}{32 × 2}\) = \(\frac{48}{64}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 40.
\(\frac{36}{45}\) =
Answer:
\(\frac{36}{45}\) = \(\frac{36 × 2}{45 × 2}\) = \(\frac{72}{90}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 41.
\(\frac{40}{48}\) =
Answer:
\(\frac{40}{48}\) = \(\frac{40 × 2}{48 × 2}\) = \(\frac{80}{96}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 42.
\(\frac{24}{36}\) =
Answer:
\(\frac{24}{36}\) = \(\frac{24 × 2}{36 × 2}\) = \(\frac{48}{72}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 43.
\(\frac{48}{60}\) =
Answer:
\(\frac{48}{60}\) = \(\frac{48 × 2}{60 × 2}\) = \(\frac{96}{120}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 44.
\(\frac{60}{72}\) =
Answer:
\(\frac{60}{72}\) = \(\frac{60 × 2}{72 × 2}\) = \(\frac{120}{144}\)
Explanation :
Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Eureka Math Grade 5 Module 3 Lesson 14 Problem Set Answer Key

Question 1.
Rearrange the terms so that you can add or subtract mentally. Then, solve.
a. \(\frac{1}{4}\) + 2\(\frac{2}{3}\) + \(\frac{7}{4}\) + \(\frac{1}{3}\)
b. 2\(\frac{3}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\)
c. 4\(\frac{3}{7}\) – \(\frac{3}{4}\) – 2\(\frac{1}{4}\) – \(\frac{3}{7}\)
d. \(\frac{5}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\) + \(\frac{1}{6}\)
Answer:
a. \(\frac{1}{4}\) + 2\(\frac{2}{3}\) + \(\frac{7}{4}\) + \(\frac{1}{3}\) = 5
b. 2\(\frac{3}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\) = 2 \(\frac{1}{4}\)
c. 4\(\frac{3}{7}\) – \(\frac{3}{4}\) – 2\(\frac{1}{4}\) – \(\frac{3}{7}\) = 1
d. \(\frac{5}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\) + \(\frac{1}{6}\) = 0
Explanation :
a. \(\frac{1}{4}\) + 2\(\frac{2}{3}\) + \(\frac{7}{4}\) + \(\frac{1}{3}\)
= \(\frac{1}{4}\) + \(\frac{7}{4}\)  + \(\frac{8}{3}\) + \(\frac{1}{3}\)
= \(\frac{8}{4}\) + \(\frac{9}{3}\) = 2 + 3 = 5

b. 2\(\frac{3}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\)
= \(\frac{13}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\)
= \(\frac{13}{5}\) + \(\frac{2}{5}\) – \(\frac{3}{4}\)
= \(\frac{15}{5}\) – \(\frac{3}{4}\) = 3 – \(\frac{3}{4}\) = 2 \(\frac{1}{4}\)

c. 4\(\frac{3}{7}\) – \(\frac{3}{4}\) – 2\(\frac{1}{4}\) – \(\frac{3}{7}\)
= \(\frac{31}{7}\) – \(\frac{3}{7}\) – \(\frac{3}{4}\) – \(\frac{9}{4}\)
= \(\frac{28}{7}\) – \(\frac{12}{4}\) = 4 – 3 = 1

d. \(\frac{5}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\) + \(\frac{1}{6}\)
=  \(\frac{5}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\)
= \(\frac{6}{6}\) – \(\frac{3}{3}\) = 1 – 1 = 0

Question 2.
Fill in the blank to make the statement true.
a. 11\(\frac{2}{5}\) – 3\(\frac{2}{3}\) – \(\frac{11}{3}\) = ________
b. 11\(\frac{7}{8}\) + 3\(\frac{1}{5}\) – ____________ = 15
c.\(\frac{5}{12}\) -________+ \(\frac{5}{4}\) = \(\frac{2}{3}\)
d. ________- 30 – 7\(\frac{1}{4}\) = 21\(\frac{2}{3}\)
e. \(\frac{24}{5}\) + ________ + \(\frac{8}{7}\) = 9
f. 11.1 + 3 \(\frac{1}{10}\) – ________= \(\frac{99}{10}\)
Answer:
a. 11\(\frac{2}{5}\) – 3\(\frac{2}{3}\) – \(\frac{11}{3}\) =4\(\frac{1}{15}\)
b. 11\(\frac{7}{8}\) + 3\(\frac{1}{5}\) – \(\frac{3}{40}\) = 15
c.\(\frac{5}{12}\) -1+ \(\frac{5}{4}\) = \(\frac{2}{3}\)
d. 58\(\frac{11}{12}\) . – 30 – 7\(\frac{1}{4}\) = 21\(\frac{2}{3}\)
e. \(\frac{24}{5}\) + 21\(\frac{2}{5}\) + \(\frac{8}{7}\) = 9
f. 11.1 + 3 \(\frac{1}{10}\) – 8 = \(\frac{99}{10}\)
Explanation :
a. 11\(\frac{2}{5}\) – 3\(\frac{2}{3}\) – \(\frac{11}{3}\)
= \(\frac{57}{5}\) – \(\frac{11}{3}\) – \(\frac{11}{3}\)
= \(\frac{57}{5}\) – \(\frac{22}{3}\)
lcm of 5 and 3 is 15 .
= \(\frac{171}{15}\) – \(\frac{110}{15}\)
= \(\frac{61}{15}\) = 4\(\frac{1}{15}\)

b. 11\(\frac{7}{8}\) + 3\(\frac{1}{5}\) – x = 15
= \(\frac{95}{8}\) + \(\frac{16}{5}\) – x = 15
x = \(\frac{95}{8}\) + \(\frac{16}{5}\) – 15
lcm is 40 .
x = \(\frac{475}{40}\) + \(\frac{128}{40}\) – \(\frac{600}{40}\)
x = \(\frac{3}{40}\)

c. \(\frac{5}{12}\) – y + \(\frac{5}{4}\) = \(\frac{2}{3}\)
= \(\frac{5}{12}\) – y + \(\frac{5}{4}\) = \(\frac{2}{3}\)
lcm of 12 , 4 and 3 is 12 .
y = \(\frac{5}{12}\)  + \(\frac{15}{12}\) – \(\frac{8}{12}\)
y = \(\frac{12}{12}\) = 1
y = 1.

d. x – 30 – 7\(\frac{1}{4}\) = 21\(\frac{2}{3}\) = x – 30 – \(\frac{29}{4}\) = \(\frac{65}{3}\)
lcm of 4 and 3 is 12.
x = \(\frac{260}{12}\) + \(\frac{360}{12}\) + \(\frac{87}{12}\)
x = \(\frac{707}{12}\) = 58\(\frac{11}{12}\) .

e. \(\frac{24}{5}\) + y + \(\frac{8}{7}\) = 9
y = 9 – \(\frac{24}{5}\)  – \(\frac{8}{7}\)
lcm of 5 and 7 is 35 .
y = \(\frac{315}{35}\)  – \(\frac{168}{35}\)  – \(\frac{40}{35}\)
y =  \(\frac{107}{5}\) = 21\(\frac{2}{5}\)

f. 11.1 + 3 \(\frac{1}{10}\) – x = \(\frac{99}{10}\)
11.1 + \(\frac{31}{10}\) –  \(\frac{99}{10}\) = x
11.1  – \(\frac{31}{10}\) = x
11.1  – 3.1 = x
8.0 = x

Question 3.
DeAngelo needs 100 lb of garden soil to landscape a building. In the company’s storage area, he finds 2 cases holding 24\(\frac{3}{4}\) lb of garden soil each, and a third case holding 19\(\frac{3}{8}\) lb. How much gardening soil does DeAngelo still need in order to do the job?
Answer:
Fraction of soil needed to landscape a building = 100lb .
Fraction of 2 cases holding soil = 2 × 24\(\frac{3}{4}\) =  \(\frac{99}{2}\) lb
Fraction of third case holding soil = 19\(\frac{3}{8}\) = \(\frac155}{8}\) lb
Fraction of cases holding capacity = \(\frac{99}{2}\) lb + \(\frac{155}{8}\) lb  = \(\frac{396}{8}\) + \(\frac{155}{8}\) = \(\frac{551}{8}\) = 68 \(\frac{7}{8}\) .
Fraction of gardening soil still need to do = 100 – 68 \(\frac{7}{8}\) = \(\frac{800}{8}\) – \(\frac{551}{8}\) = \(\frac{249}{8}\) = 31\(\frac{1}{8}\) .
Therefore Fraction of gardening soil still need to do = 31\(\frac{1}{8}\) .

Question 4.
Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11\(\frac{1}{2}\) kg in another. They sent 1\(\frac{1}{4}\) kg to be recycled and threw the rest away. How many kilograms of trash did they throw away?
Answer:
Fraction of trash cleaned up in one neighborhood = 8.2 kg
Fraction of trash cleaned up in another neighborhood = 11\(\frac{1}{2}\) = \(\frac{23}{2}\) kg
Fraction of capacity of recycled = 1\(\frac{1}{4}\) = \(\frac{5}{4}\) = 1.25 kg
Total trash cleaned up = 8.2 + \(\frac{23}{2}\) = \(\frac{16.4}{2}\) + \(\frac{23}{2}\) = \(\frac{39.4}{2}\) = 19.7 kg .
Fraction of trash threw = 19.7 – 1.25kg = 18.45 kg
Therefore fraction of trash threw = 18.45 kg .

Eureka Math Grade 5 Module 3 Lesson 14 Exit Ticket Answer Key

Fill in the blank to make the statement true.
Question 1.
1\(\frac{3}{4}\) + \(\frac{1}{6}\) + __________ = 7\(\frac{1}{2}\)
Answer:
1\(\frac{3}{4}\) + \(\frac{1}{6}\) + \(\frac{67}{12}\)  = 7\(\frac{1}{2}\)
Explanation :
1\(\frac{3}{4}\) + \(\frac{1}{6}\) + x = 7\(\frac{1}{2}\)
x = \(\frac{15}{2}\) – \(\frac{7}{4}\) – \(\frac{1}{6}\)
lcm of 2 , 4 and 6 is 12 .
x = \(\frac{90}{12}\) – \(\frac{21}{12}\) – \(\frac{2}{12}\)
x = \(\frac{67}{12}\)

Question 2.
8\(\frac{4}{5}\) – \(\frac{2}{3}\) – _____________ = 3\(\frac{1}{10}\)
Answer:
8\(\frac{4}{5}\) – \(\frac{2}{3}\) – _____________ = 3\(\frac{1}{10}\)
Explanation :
8\(\frac{4}{5}\) – \(\frac{2}{3}\) – y = 3\(\frac{1}{10}\)
y = \(\frac{44}{5}\) – \(\frac{2}{3}\) – \(\frac{31}{10}\)
lcm of 5 , 3 and 10 is 30.
y = \(\frac{264}{30}\) – \(\frac{20}{30}\) – \(\frac{186}{30}\)
y = \(\frac{58}{30}\) = 1\(\frac{28}{30}\) .

Eureka Math Grade 5 Module 3 Lesson 14 Homework Answer Key

Question 1.
Rearrange the terms so that you can add or subtract mentally. Then, solve.
a. 1\(\frac{3}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\)
b. 3\(\frac{1}{6}\) – \(\frac{3}{4}\) + \(\frac{5}{6}\)
c. 5\(\frac{5}{8}\) – 2\(\frac{6}{7}\) – \(\frac{2}{7}\) – \(\frac{5}{8}\)
d. \(\frac{7}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\) + \(\frac{2}{9}\)
Answer:
a. 1\(\frac{3}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\) = 3
b. 3\(\frac{1}{6}\) – \(\frac{3}{4}\) + \(\frac{5}{6}\) = 3\(\frac{1}{4}\)
c. 5\(\frac{5}{8}\) – 2\(\frac{6}{7}\) – \(\frac{2}{7}\) – \(\frac{5}{8}\) =1\(\frac{6}{7}\)
d. \(\frac{7}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\) + \(\frac{2}{9}\) = 0
Explanation :
a. 1\(\frac{3}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\)
= \(\frac{7}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\)
= \(\frac{7}{4}\)+ \(\frac{1}{4}\) +\(\frac{1}{2}\) + \(\frac{1}{2}\)
= \(\frac{8}{4}\) + \(\frac{2}{2}\)
= 2 + 1
=3

b. 3\(\frac{1}{6}\) – \(\frac{3}{4}\) + \(\frac{5}{6}\)
= \(\frac{19}{6}\)+ \(\frac{5}{6}\) – \(\frac{3}{4}\)
= \(\frac{24}{6}\) – \(\frac{3}{4}\)
lcm of 6 and 4 is 24 .
= \(\frac{96}{24}\) – \(\frac{18}{24}\)
= \(\frac{78}{24}\)
= \(\frac{13}{4}\)
= 3\(\frac{1}{4}\)

c. 5\(\frac{5}{8}\) – 2\(\frac{6}{7}\) – \(\frac{2}{7}\) – \(\frac{5}{8}\)
= \(\frac{45}{8}\) – \(\frac{5}{8}\) – \(\frac{20}{7}\) – \(\frac{2}{7}\)
= \(\frac{40}{8}\) – \(\frac{22}{7}\)
= \(\frac{280}{56}\) – \(\frac{176}{56}\)
= \(\frac{104}{56}\)
= \(\frac{13}{7}\)
=1\(\frac{6}{7}\)

d. \(\frac{7}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\) + \(\frac{2}{9}\)
= \(\frac{7}{9}\) + \(\frac{2}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\)
= \(\frac{9}{9}\) – \(\frac{2}{2}\)
= 1- 1
= 0

Question 2.
Fill in the blank to make the statement true.
a. 7\(\frac{3}{4}\) – 1\(\frac{2}{7}\) – \(\frac{3}{2}\) = ________
b. 9\(\frac{5}{6}\) + 1\(\frac{1}{4}\) + ________ = 14
c. \(\frac{7}{10}\) – _______ + \(\frac{3}{2}\) = \(\frac{6}{5}\)
d. ________ – 20 – 3\(\frac{1}{4}\) = 14\(\frac{5}{8}\)
e. \(\frac{17}{3}\) + ________ + \(\frac{5}{2}\) = 10\(\frac{4}{5}\)
f. 23.1 + 1\(\frac{7}{10}\) – ________= \(\frac{66}{10}\)
Answer:
a. 7\(\frac{3}{4}\) – 1\(\frac{2}{7}\) – \(\frac{3}{2}\) = = 4\(\frac{27}{28}\)
b. 9\(\frac{5}{6}\) + 1\(\frac{1}{4}\) + 2\(\frac{11}{12}\) = 14
c. \(\frac{7}{10}\) – 1 + \(\frac{3}{2}\) = \(\frac{6}{5}\)
d. 34\(\frac{5}{8}\)  – 20 – 3\(\frac{1}{4}\) = 14\(\frac{5}{8}\)
e. \(\frac{17}{3}\) + 2 \(\frac{19}{30}\) + \(\frac{5}{2}\) = 10\(\frac{4}{5}\)
f. 23.1 + 1\(\frac{7}{10}\) – 18.2 = \(\frac{66}{10}\)

Explanation :
a. 7\(\frac{3}{4}\) – 1\(\frac{2}{7}\) – \(\frac{3}{2}\)
= \(\frac{31}{4}\) – \(\frac{9}{7}\) – \(\frac{3}{2}\)
lcm of 4 , 7 and 2 is 28
= \(\frac{217}{28}\) – \(\frac{36}{28}\) – \(\frac{42}{28}\)
= \(\frac{139}{28}\)
= 4\(\frac{27}{28}\)
b. 9\(\frac{5}{6}\) + 1\(\frac{1}{4}\) + x = 14
x = 14 – \(\frac{59}{6}\) – \(\frac{5}{4}\)
x = \(\frac{168}{12}\) – \(\frac{118}{12}\) – \(\frac{15}{12}\)
x = \(\frac{35}{12}\)
x = 2\(\frac{11}{12}\)

c. \(\frac{7}{10}\) – y + \(\frac{3}{2}\) = \(\frac{6}{5}\)
y = \(\frac{7}{10}\) + \(\frac{3}{2}\) – \(\frac{6}{5}\)
lcm of 10, 2 and 5 is 10 .
y = \(\frac{7}{10}\) + \(\frac{15}{10}\) – \(\frac{12}{10}\)
y = \(\frac{10}{10}\)
y = 1.

d. x – 20 – 3\(\frac{1}{4}\) = 14\(\frac{5}{8}\)
x = 14\(\frac{5}{8}\) + 20 + 3\(\frac{1}{4}\)
x = \(\frac{117}{8}\) + 20 + \(\frac{13}{4}\)
lcm is 8
x = \(\frac{117}{8}\) + \(\frac{26}{8}\) + \(\frac{160}{8}\)
x = \(\frac{277}{8}\)
x = 34\(\frac{5}{8}\)

e. \(\frac{17}{3}\) + y + \(\frac{5}{2}\) = 10\(\frac{4}{5}\)
y = \(\frac{54}{5}\) – \(\frac{17}{3}\) – \(\frac{5}{2}\)
lcm of 5 , 3 and 2 is 30 .
y = \(\frac{324}{30}\) – \(\frac{170}{30}\) – \(\frac{75}{30}\)
y = \(\frac{79}{30}\)
y = 2 \(\frac{19}{30}\) .

f. 23.1 + 1\(\frac{7}{10}\) – y = \(\frac{66}{10}\)
y = 23.1 + \(\frac{17}{10}\) – \(\frac{66}{10}\)
y = 23.1 – \(\frac{49}{10}\)
y = 23.1 – 4.9
y = 18.2

Question 3.
Laura bought 8\(\frac{3}{10}\) yd of ribbon. She used 1\(\frac{2}{5}\) yd to tie a package and 2\(\frac{1}{3}\) yd to make a bow. Joe later gave her 4\(\frac{3}{5}\) yd. How much ribbon does she now have?
Answer:
Fraction of Ribbon brought by Laura = 8\(\frac{3}{10}\) yd = \(\frac{83}{10}\)
Fraction of Ribbon used to tie a package = 1\(\frac{2}{5}\) yd
Fraction of Ribbon used to make a bow = 2\(\frac{1}{3}\) yd
Fraction of ribbon used by Laura = 1\(\frac{2}{5}\) yd + 2\(\frac{1}{3}\) yd = \(\frac{7}{5}\) + \(\frac{7}{3}\) = \(\frac{21}{15}\) + \(\frac{35}{15}\) = \(\frac{56}{15}\)
Fraction of ribbon left with laura = \(\frac{83}{10}\) – \(\frac{56}{15}\) = \(\frac{249}{10}\) + \(\frac{112}{15}\) = \(\frac{137}{15}\)= 9\(\frac{2}{15}\) .
Fraction of ribbon joe gave to laura = 4\(\frac{3}{5}\) = \(\frac{23}{5}\) yd.
Fraction of ribbon with laura now = \(\frac{137}{15}\) + \(\frac{23}{5}\) =\(\frac{137}{15}\) + \(\frac{69}{15}\) = \(\frac{206}{15}\) = 13\(\frac{11}{15}\) .
Therefore Fraction of ribbon with laura now = 13\(\frac{11}{15}\) .

Question 4.
Mia bought 10\(\frac{1}{9}\) lb of flour. She used 2\(\frac{3}{4}\) lb of flour to bake banana cakes and some to bake chocolate cakes. After baking all the cakes, she had 3\(\frac{5}{6}\) lb of flour left. How much flour did she use to bake the chocolate cakes?
Answer:
Fraction of Flour with Mia = 10\(\frac{1}{9}\) = \(\frac{91}{9}\) lb
Fraction of Flour used to bake bake banana cakes = 2\(\frac{3}{4}\) = \(\frac{11}{4}\) lb
Fraction of flour left = 3\(\frac{5}{6}\) = \(\frac{23}{6}\) lb
Fraction of flour used for chocolate cake = \(\frac{91}{9}\) – \(\frac{11}{4}\) – \(\frac{23}{6}\) =
\(\frac{364}{36}\) – \(\frac{99}{36}\) – \(\frac{138}{36}\) = \(\frac{127}{36}\) = 3\(\frac{17}{36}\).
Therefore, Fraction of flour used for chocolate cake = 3\(\frac{17}{36}\).

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