## Engage NY Eureka Math 5th Grade Module 3 Lesson 7 Answer Key

### Eureka Math Grade 5 Module 3 Lesson 7 Sprint Answer Key

A
Circle the Equivalent Fraction Question 1.
$$\frac{2}{4}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{2}{4}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{2}{4}$$ when its numerator and denominator is divided by 2 we get $$\frac{1}{2}$$

Question 2.
$$\frac{2}{6}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{2}{6}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{2}{6}$$ when its numerator and denominator is divided by 2 we get $$\frac{1}{3}$$

Question 3.
$$\frac{2}{8}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{2}{8}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{2}{8}$$ when its numerator and denominator is divided by 2 we get $$\frac{1}{4}$$

Question 4.
$$\frac{5}{10}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{5}{10}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{5}{10}$$ when its numerator and denominator is divided by 5 we get $$\frac{1}{2}[/latex Question 5. [latex]\frac{5}{15}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{5}{15}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{5}{15}$$ when its numerator and denominator is divided by 5 we get $$\frac{1}{3}$$

Question 6.
$$\frac{5}{20}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{5}{20}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{5}{20}$$ when its numerator and denominator is divided by 5 we get $$\frac{1}{4}$$

Question 7.
$$\frac{4}{8}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{4}{8}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{4}{8}$$ when its numerator and denominator is divided by 4 we get $$\frac{1}{2}$$

Question 8.
$$\frac{4}{12}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{4}{12}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{4}{12}$$ when its numerator and denominator is divided by 4 we get $$\frac{1}{3}$$

Question 9.
$$\frac{4}{16}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{4}{16}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{4}{16}$$ when its numerator and denominator is divided by 4 we get $$\frac{1}{4}$$

Question 10.
$$\frac{3}{6}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{3}{6}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{3}{6}$$ when its numerator and denominator is divided by 3 we get $$\frac{1}{2}$$

Question 11.
$$\frac{3}{9}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{3}{9}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{3}{9}$$ when its numerator and denominator is divided by 3 we get $$\frac{1}{3}$$

Question 12.
$$\frac{3}{12}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{3}{12}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{3}{12}$$ when its numerator and denominator is divided by 3 we get $$\frac{1}{4}$$

Question 13.
$$\frac{4}{6}$$ = $$\frac{2}{3}$$ $$\frac{1}{3}$$
$$\frac{4}{6}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{4}{6}$$ when its numerator and denominator is divided by 2 we get $$\frac{2}{3}$$

Question 14.
$$\frac{6}{12}$$ = $$\frac{2}{3}$$ $$\frac{1}{2}$$
$$\frac{6}{12}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{6}{12}$$ when its numerator and denominator is divided by 6 we get $$\frac{1}{2}$$

Question 15.
$$\frac{6}{18}$$ = $$\frac{2}{3}$$ $$\frac{1}{3}$$
$$\frac{6}{18}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{6}{18}$$ when its numerator and denominator is divided by 6 we get $$\frac{1}{3}$$

Question 16.
$$\frac{6}{30}$$ = $$\frac{1}{5}$$ $$\frac{1}{3}$$
$$\frac{6}{30}$$ = $$\frac{1}{5}$$
Explanation :
$$\frac{6}{30}$$ when its numerator and denominator is divided by 6 we get $$\frac{1}{5}$$

Question 17.
$$\frac{6}{9}$$ = $$\frac{2}{3}$$ $$\frac{1}{3}$$
$$\frac{6}{9}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{6}{9}$$ when its numerator and denominator is divided by 3 we get $$\frac{2}{3}$$

Question 18.
$$\frac{7}{14}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{7}{14}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{7}{14}$$ when its numerator and denominator is divided by 7 we get $$\frac{1}{2}$$

Question 19.
$$\frac{7}{21}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{7}{21}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{7}{21}$$ when its numerator and denominator is divided by 7 we get $$\frac{1}{3}$$

Question 20.
$$\frac{7}{42}$$ = $$\frac{1}{6}$$ $$\frac{1}{7}$$
$$\frac{7}{42}$$ = $$\frac{1}{6}$$
Explanation :
$$\frac{7}{42}$$ when its numerator and denominator is divided by 7 we get $$\frac{1}{6}$$

Question 21.
$$\frac{8}{12}$$ = $$\frac{2}{3}$$ $$\frac{3}{4}$$
$$\frac{8}{12}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{8}{12}$$ when its numerator and denominator is divided by 4 we get $$\frac{2}{3}$$

Question 22.
$$\frac{9}{18}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{9}{18}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{9}{18}$$ when its numerator and denominator is divided by 9 we get $$\frac{1}{2}$$

Question 23.
$$\frac{9}{27}$$ = $$\frac{2}{3}$$ $$\frac{1}{3}$$ $$\frac{1}{4}$$
$$\frac{9}{27}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{9}{27}$$ when its numerator and denominator is divided by 9 we get $$\frac{1}{3}$$

Question 24.
$$\frac{9}{63}$$ = $$\frac{1}{6}$$ $$\frac{1}{7}$$ $$\frac{1}{8}$$
$$\frac{9}{63}$$ = $$\frac{1}{7}$$
Explanation :
$$\frac{9}{63}$$ when its numerator and denominator is divided by 9 we get $$\frac{1}{7}$$

Question 25.
$$\frac{8}{12}$$ = $$\frac{2}{3}$$ $$\frac{3}{4}$$ $$\frac{4}{5}$$
$$\frac{8}{12}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{8}{12}$$ when its numerator and denominator is divided by 4 we get $$\frac{2}{3}$$

Question 26.
$$\frac{8}{16}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$ $$\frac{1}{4}$$
$$\frac{8}{16}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{8}{16}$$ when its numerator and denominator is divided by 8 we get $$\frac{1}{2}$$

Question 27.
$$\frac{8}{24}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$ $$\frac{1}{4}$$
$$\frac{8}{24}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{8}{24}$$ when its numerator and denominator is divided by 8 we get $$\frac{1}{3}$$

Question 28.
$$\frac{8}{64}$$ = $$\frac{1}{7}$$ $$\frac{1}{8}$$ $$\frac{1}{9}$$
$$\frac{8}{64}$$ = $$\frac{1}{8}$$
Explanation :
$$\frac{8}{64}$$ when its numerator and denominator is divided by 8 we get $$\frac{1}{8}$$

Question 29.
$$\frac{12}{18}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{12}{18}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{12}{18}$$ when its numerator and denominator is divided by 6 we get $$\frac{2}{3}$$

Question 30.
$$\frac{12}{16}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{12}{16}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{12}{16}$$ when its numerator and denominator is divided by 4 we get $$\frac{3}{4}$$

Question 31.
$$\frac{9}{12}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{9}{12}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{9}{12}$$ when its numerator and denominator is divided by 3 we get $$\frac{3}{4}$$

Question 32.
$$\frac{6}{8}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{6}{8}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{6}{8}$$ when its numerator and denominator is divided by 2 we get $$\frac{3}{4}$$

Question 33.
$$\frac{10}{12}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{10}{12}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{10}{12}$$ when its numerator and denominator is divided by 2 we get $$\frac{5}{6}$$

Question 34.
$$\frac{15}{18}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{15}{18}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{15}{18}$$ when its numerator and denominator is divided by 3 we get $$\frac{5}{6}$$

Question 35.
$$\frac{8}{10}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{8}{10}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{8}{10}$$ when its numerator and denominator is divided by 2 we get $$\frac{4}{5}$$

Question 36.
$$\frac{16}{20}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{16}{20}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{16}{20}$$ when its numerator and denominator is divided by 4 we get $$\frac{4}{5}$$

Question 37.
$$\frac{12}{15}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{12}{15}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{12}{15}$$ when its numerator and denominator is divided by 3 we get $$\frac{4}{5}$$

Question 38.
$$\frac{18}{27}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{18}{27}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{18}{27}$$ when its numerator and denominator is divided by 9 we get $$\frac{2}{3}$$

Question 39.
$$\frac{27}{36}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{27}{36}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{27}{36}$$ when its numerator and denominator is divided by 9 we get $$\frac{3}{4}$$

Question 40.
$$\frac{32}{40}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{32}{40}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{32}{40}$$ when its numerator and denominator is divided by 8 we get $$\frac{4}{5}$$

Question 41.
$$\frac{45}{54}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{5}{6}$$
$$\frac{45}{54}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{45}{54}$$ when its numerator and denominator is divided by 9 we get $$\frac{5}{6}$$

Question 42.
$$\frac{24}{36}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{24}{36}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{24}{36}$$ when its numerator and denominator is divided by 12 we get $$\frac{2}{3}$$

Question 43.
$$\frac{60}{72}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{60}{72}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{60}{72}$$ when its numerator and denominator is divided by 12 we get $$\frac{5}{6}$$

Question 44.
$$\frac{48}{60}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{5}{6}$$
$$\frac{48}{60}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{48}{60}$$ when its numerator and denominator is divided by 12 we get $$\frac{4}{5}$$

B
Circle the Equivalent Fraction Question 1.
$$\frac{5}{10}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{5}{10}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{5}{10}$$ when its numerator and denominator is divided by 5 we get $$\frac{1}{2}$$

Question 2.
$$\frac{5}{15}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{5}{15}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{5}{15}$$ when its numerator and denominator is divided by 5 we get $$\frac{1}{3}$$

Question 3.
$$\frac{5}{20}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{5}{20}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{5}{20}$$ when its numerator and denominator is divided by 5 we get $$\frac{1}{4}$$

Question 4.
$$\frac{2}{4}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{2}{4}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{2}{4}$$ when its numerator and denominator is divided by 2 we get $$\frac{1}{2}$$

Question 5.
$$\frac{2}{6}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{2}{6}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{2}{6}$$ when its numerator and denominator is divided by 2 we get $$\frac{1}{3}$$

Question 6.
$$\frac{2}{8}$$ = $$\frac{1}{2}$$ $$\frac{1}{4}$$
$$\frac{2}{8}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{2}{8}$$ when its numerator and denominator is divided by 2 we get $$\frac{1}{4}$$

Question 7.
$$\frac{3}{6}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{3}{6}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{3}{6}$$ when its numerator and denominator is divided by 3 we get $$\frac{1}{2}$$

Question 8.
$$\frac{3}{9}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{3}{9}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{3}{9}$$ when its numerator and denominator is divided by 3 we get $$\frac{1}{3}$$

Question 9.
$$\frac{3}{12}$$ = $$\frac{1}{4}$$ $$\frac{1}{3}$$
$$\frac{3}{12}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{3}{12}$$ when its numerator and denominator is divided by 3 we get $$\frac{1}{4}$$

Question 10.
$$\frac{4}{8}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{4}{8}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{4}{8}$$ when its numerator and denominator is divided by 4 we get $$\frac{1}{2}$$

Question 11.
$$\frac{4}{12}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{4}{12}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{4}{12}$$ when its numerator and denominator is divided by 4 we get $$\frac{1}{3}$$

Question 12.
$$\frac{4}{16}$$ = $$\frac{1}{4}$$ $$\frac{1}{3}$$
$$\frac{4}{16}$$ = $$\frac{1}{4}$$
Explanation :
$$\frac{4}{16}$$ when its numerator and denominator is divided by 4 we get $$\frac{1}{4}$$

Question 13.
$$\frac{4}{6}$$ = $$\frac{2}{3}$$ $$\frac{1}{2}$$
$$\frac{4}{6}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{4}{6}$$ when its numerator and denominator is divided by 2 we get $$\frac{2}{3}$$

Question 14.
$$\frac{7}{14}$$ = $$\frac{2}{3}$$ $$\frac{1}{2}$$
$$\frac{7}{14}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{7}{14}$$ when its numerator and denominator is divided by 7 we get $$\frac{1}{2}$$

Question 15.
$$\frac{7}{21}$$ = $$\frac{1}{5}$$ $$\frac{1}{3}$$
$$\frac{7}{21}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{7}{21}$$ when its numerator and denominator is divided by 7 we get $$\frac{1}{3}$$

Question 16.
$$\frac{7}{35}$$ = $$\frac{1}{5}$$ $$\frac{1}{3}$$
$$\frac{7}{35}$$ = $$\frac{1}{5}$$
Explanation :
$$\frac{7}{35}$$ when its numerator and denominator is divided by 7 we get $$\frac{1}{5}$$

Question 17.
$$\frac{6}{9}$$ = $$\frac{2}{3}$$ $$\frac{1}{3}$$
$$\frac{6}{9}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{6}{9}$$ when its numerator and denominator is divided by 3 we get $$\frac{2}{3}$$

Question 18.
$$\frac{6}{12}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{6}{12}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{6}{12}$$ when its numerator and denominator is divided by 6 we get $$\frac{1}{2}$$

Question 19.
$$\frac{6}{18}$$ = $$\frac{1}{6}$$ $$\frac{1}{3}$$
$$\frac{6}{18}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{6}{18}$$ when its numerator and denominator is divided by 6 we get $$\frac{1}{3}$$

Question 20.
$$\frac{6}{36}$$ = $$\frac{1}{6}$$ $$\frac{1}{3}$$
$$\frac{6}{36}$$ = $$\frac{1}{6}$$
Explanation :
$$\frac{6}{36}$$ when its numerator and denominator is divided by 6 we get $$\frac{1}{6}$$

Question 21.
$$\frac{8}{12}$$ = $$\frac{2}{3}$$ $$\frac{3}{4}$$
$$\frac{8}{12}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{8}{12}$$ when its numerator and denominator is divided by 4 we get $$\frac{2}{3}$$

Question 22.
$$\frac{8}{16}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$
$$\frac{8}{16}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{8}{16}$$ when its numerator and denominator is divided by 8 we get $$\frac{1}{2}$$

Question 23.
$$\frac{8}{24}$$ = $$\frac{2}{3}$$ $$\frac{1}{3}$$ $$\frac{1}{4}$$
$$\frac{8}{24}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{8}{24}$$ when its numerator and denominator is divided by 8 we get $$\frac{1}{3}$$

Question 24.
$$\frac{8}{56}$$ = $$\frac{1}{6}$$ $$\frac{1}{7}$$ $$\frac{1}{8}$$
$$\frac{8}{24}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{8}{56}$$ when its numerator and denominator is divided by 8 we get $$\frac{1}{7}$$

Question 25.
$$\frac{8}{12}$$ = $$\frac{2}{3}$$ $$\frac{3}{4}$$ $$\frac{4}{5}$$
$$\frac{8}{12}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{8}{12}$$ when its numerator and denominator is divided by 4 we get $$\frac{2}{3}$$

Question 26.
$$\frac{9}{18}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$ $$\frac{1}{4}$$
$$\frac{9}{18}$$ = $$\frac{1}{2}$$
Explanation :
$$\frac{9}{18}$$ when its numerator and denominator is divided by 9 we get $$\frac{1}{2}$$

Question 27.
$$\frac{9}{27}$$ = $$\frac{1}{2}$$ $$\frac{1}{3}$$ $$\frac{1}{4}$$
$$\frac{9}{27}$$ = $$\frac{1}{3}$$
Explanation :
$$\frac{9}{27}$$ when its numerator and denominator is divided by 9 we get $$\frac{1}{3}$$

Question 28.
$$\frac{9}{72}$$ = $$\frac{1}{7}$$ $$\frac{1}{8}$$ $$\frac{1}{9}$$
$$\frac{9}{72}$$ = $$\frac{1}{8}$$
Explanation :
$$\frac{9}{72}$$ when its numerator and denominator is divided by 9 we get $$\frac{1}{8}$$

Question 29.
$$\frac{12}{18}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{12}{18}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{12}{18}$$ when its numerator and denominator is divided by 6 we get $$\frac{2}{3}$$

Question 30.
$$\frac{6}{8}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{6}{8}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{6}{8}$$ when its numerator and denominator is divided by 2 we get $$\frac{3}{4}$$

Question 31.
$$\frac{9}{12}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{9}{12}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{9}{12}$$ when its numerator and denominator is divided by 3 we get $$\frac{3}{4}$$

Question 32.
$$\frac{12}{16}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{12}{16}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{12}{16}$$ when its numerator and denominator is divided by 4 we get $$\frac{3}{4}$$

Question 33.
$$\frac{8}{10}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{8}{10}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{8}{10}$$ when its numerator and denominator is divided by 2 we get $$\frac{4}{5}$$

Question 34.
$$\frac{16}{20}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{16}{20}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{16}{20}$$ when its numerator and denominator is divided by 4 we get $$\frac{4}{5}$$

Question 35.
$$\frac{12}{15}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{12}{15}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{12}{15}$$ when its numerator and denominator is divided by 3 we get $$\frac{4}{5}$$

Question 36.
$$\frac{10}{12}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{5}{6}$$
$$\frac{10}{12}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{10}{12}$$ when its numerator and denominator is divided by 2 we get $$\frac{5}{6}$$

Question 37.
$$\frac{15}{18}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{15}{18}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{15}{18}$$ when its numerator and denominator is divided by 3 we get $$\frac{5}{6}$$

Question 38.
$$\frac{16}{24}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{16}{24}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{16}{24}$$ when its numerator and denominator is divided by 8 we get $$\frac{2}{3}$$

Question 39.
$$\frac{24}{32}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{24}{32}$$ = $$\frac{3}{4}$$
Explanation :
$$\frac{24}{32}$$ when its numerator and denominator is divided by 12 we get $$\frac{3}{4}$$

Question 40.
$$\frac{36}{45}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{36}{45}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{36}{45}$$ when its numerator and denominator is divided by 9 we get $$\frac{4}{5}$$

Question 41.
$$\frac{40}{48}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{5}{6}$$
$$\frac{40}{48}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{40}{48}$$ when its numerator and denominator is divided by 8 we get $$\frac{5}{}$$

Question 42.
$$\frac{24}{36}$$ = $$\frac{3}{4}$$ $$\frac{4}{5}$$ $$\frac{2}{3}$$
$$\frac{24}{36}$$ = $$\frac{2}{3}$$
Explanation :
$$\frac{24}{36}$$ when its numerator and denominator is divided by 12 we get $$\frac{2}{3}$$

Question 43.
$$\frac{48}{60}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{4}{5}$$
$$\frac{48}{60}$$ = $$\frac{4}{5}$$
Explanation :
$$\frac{48}{60}$$ when its numerator and denominator is divided by 12 we get $$\frac{4}{5}$$

Question 44.
$$\frac{60}{72}$$ = $$\frac{3}{4}$$ $$\frac{5}{6}$$ $$\frac{2}{3}$$
$$\frac{60}{72}$$ = $$\frac{5}{6}$$
Explanation :
$$\frac{60}{72}$$ when its numerator and denominator is divided by 12 we get $$\frac{5}{6}$$

### Eureka Math Grade 5 Module 3 Lesson 7 Problem Set Answer Key

Solve the word problems using the RDW strategy. Show all of your work.
Question 1.
George weeded $$\frac{1}{5}$$ of the garden, and Summer weeded some, too. When they were finished, $$\frac{2}{3}$$ of the garden still needed to be weeded. What fraction of the garden did Summer weed?
Total Garden = 1 whole .
Fraction of garden weeded by George = $$\frac{1}{5}$$
Fraction of garden needed to be weeded = $$\frac{2}{3}$$
Fraction of garden weeded by summer = x
1 = $$\frac{1}{5}$$ + x + $$\frac{2}{3}$$
x = 1 – $$\frac{1}{5}$$ – $$\frac{2}{3}$$
lcm of 5 and 3 is 15.
x = $$\frac{15}{15}$$  – $$\frac{3}{15}$$ – $$\frac{10}{15}$$
x = $$\frac{15}{15}$$  – $$\frac{13}{15}$$
x = $$\frac{2}{15}$$
Therefore , Fraction of garden weeded by summer = x = $$\frac{2}{15}$$ Question 2.
Jing spent $$\frac{1}{3}$$ of her money on a pack of pens, $$\frac{1}{2}$$ of her money on a pack of markers, and $$\frac{1}{8}$$ of her money on a pack of pencils. What fraction of her money is left?
Total Money = 1
Money spent on pack of pens = $$\frac{1}{3}$$
Money spent on pack of markers = $$\frac{1}{2}$$
Money spent on pack of pencils = $$\frac{1}{8}$$
Fraction of Money left = x
1 = $$\frac{1}{3}$$ + $$\frac{1}{2}$$ + $$\frac{1}{8}$$ + x
lcm of 3, 2 and 8 is 24
$$\frac{24}{24}$$ = $$\frac{8}{24}$$ + $$\frac{12}{24}$$ + $$\frac{3}{24}$$ + x
$$\frac{24}{24}$$ = $$\frac{23}{24}$$ + x
x = $$\frac{24}{24}$$ – $$\frac{23}{24}$$
x = $$\frac{1}{24}$$ .
Therefore, Fraction of Money left = $$\frac{1}{24}$$ Question 3.
Shelby bought a 2-ounce tube of blue paint. She used $$\frac{2}{3}$$ ounce to paint the water, $$\frac{3}{5}$$ ounce to paint the sky, and some to paint a flag. After that, she has $$\frac{2}{15}$$ ounce left. How much paint did Shelby use to paint her flag?
Quantity of Blue paint = 2 – ounce
Fraction of blue paint used for painting water = $$\frac{2}{3}$$
Fraction of blue paint used for painting sky = $$\frac{3}{5}$$
Fraction of blue paint used for painting flag = x
Fraction of blue paint left = $$\frac{2}{15}$$
2 = $$\frac{2}{3}$$ + $$\frac{3}{5}$$ + x + $$\frac{2}{15}$$
lcm of 3, 5 and 15 is 15 .
$$\frac{30}{15}$$ = $$\frac{10}{15}$$ + $$\frac{9}{15}$$ + x + $$\frac{2}{15}$$
$$\frac{30}{15}$$ = $$\frac{21}{15}$$ + x
x = $$\frac{30}{15}$$ – $$\frac{21}{15}$$
x = $$\frac{9}{15}$$ = $$\frac{3}{5}$$
Therefore , Fraction of blue paint used for painting flag = x = $$\frac{9}{15}$$ = $$\frac{3}{5}$$ .ounce Question 4.
Jim sold $$\frac{3}{4}$$ gallon of lemonade. Dwight sold some lemonade, too. Together, they sold 1$$\frac{5}{12}$$ gallons. Who sold more lemonade, Jim or Dwight? How much more?
Fraction of lemonade sold by Jim = $$\frac{3}{4}$$ gallon
Fraction of lemonade sold by Dwight = x gallon
Fraction of lemonade sold by Jim and Dwight = 1$$\frac{5}{12}$$ gallon
1$$\frac{5}{12}$$ = $$\frac{3}{4}$$ + x
x = 1$$\frac{5}{12}$$ – $$\frac{3}{4}$$
lcm of 12 and 4 is 12 .
x = $$\frac{17}{12}$$ – $$\frac{9}{12}$$
x = $$\frac{8}{12}$$ = $$\frac{2}{3}$$
Therefore, Fraction of lemonade sold by Dwight = x = $$\frac{8}{12}$$ = $$\frac{2}{3}$$ gallon . Question 5.
Leonard spent $$\frac{1}{4}$$ of his money on a sandwich. He spent 2 times as much on a gift for his brother as on some comic books. He had $$\frac{3}{8}$$ of his money left. What fraction of his money did he spend on the comic books?
Fraction of Money spent on sandwich = $$\frac{1}{4}$$
Fraction of money left with him = $$\frac{3}{8}$$
Total Money = 1
1 = $$\frac{1}{4}$$ + $$\frac{3}{8}$$ + x .
Lcm of 4 and 8 is 8.
$$\frac{8}{8}$$ = $$\frac{2}{8}$$ + $$\frac{3}{8}$$ + x
$$\frac{8}{8}$$ = $$\frac{5}{8}$$ + x
x = $$\frac{8}{8}$$ – $$\frac{5}{8}$$
x = $$\frac{3}{8}$$
Fraction of Money spent on his brother = $$\frac{2}{8}$$ = $$\frac{1}{4}$$
Fraction of Money spent on Comic books = $$\frac{1}{8}$$ . ### Eureka Math Grade 5 Module 3 Lesson 7 Exit Ticket Answer Key

Solve the word problem using the RDW strategy. Show all of your work.
Mr. Pham mowed $$\frac{2}{7}$$ of his lawn. His son mowed $$\frac{1}{4}$$ of it. Who mowed the most? How much of the lawn still needs to be mowed?
Fraction Of Lawn mowed by Mr.Pham = $$\frac{2}{7}$$
Fraction Of Lawn mowed by his Son = $$\frac{1}{4}$$
lcm of 7 and 4 is 28 .
$$\frac{2}{7}$$ = $$\frac{8}{28}$$
$$\frac{1}{4}$$ = $$\frac{7}{28}$$
$$\frac{8}{28}$$ > $$\frac{7}{28}$$
Mr. Pham mowed most than his son .
Fraction of lawn still needed to mowed = x
1= $$\frac{8}{28}$$ + $$\frac{7}{28}$$  + x
$$\frac{28}{28}$$ = $$\frac{15}{28}$$ + x
x = $$\frac{28}{28}$$ – $$\frac{15}{28}$$
x = $$\frac{13}{28}$$
Therefore, Fraction of lawn still needed to mowed = x = $$\frac{13}{28}$$ . ### Eureka Math Grade 5 Module 3 Lesson 7 Homework Answer Key

Solve the word problems using the RDW strategy. Show all of your work.
Question 1.
Christine baked a pumpkin pie. She ate $$\frac{1}{6}$$ of the pie. Her brother ate $$\frac{1}{6}$$ of it and gave the leftovers to his friends. What fraction of the pie did he give to his friends?
Total pie = 1 .
Fraction of pie ate by Christine = $$\frac{1}{6}$$
Fraction of pie ate by her Brother =$$\frac{1}{6}$$
Fraction of pie leftover to her friends = x
1 = $$\frac{1}{6}$$ + $$\frac{1}{6}$$ + x
lcm is 6
$$\frac{6}{6}$$ = $$\frac{2}{6}$$ + x
x = $$\frac{6}{6}$$ – $$\frac{2}{6}$$
x = $$\frac{4}{6}$$ = $$\frac{2}{3}$$
Therefore, Fraction of pie leftover to her friends = x = $$\frac{4}{6}$$ = $$\frac{2}{3}$$ . Question 2.
Liang went to the bookstore. He spent $$\frac{1}{3}$$ of his money on a pen and $$\frac{4}{7}$$ of it on books. What fraction of his money did he have left?
Total money = 1
Fraction of Money spent on Pen =$$\frac{1}{3}$$
Fraction of Money spent on Books =$$\frac{4}{7}$$
Fraction of Money left = x
1 = $$\frac{1}{3}$$ + $$\frac{4}{7}$$ + x
lcm of 3 and 7 is 21 .
$$\frac{21}{21}$$ = $$\frac{7}{21}$$ + $$\frac{12}{21}$$ + x
$$\frac{21}{21}$$ = $$\frac{19}{21}$$ + x
x = $$\frac{3}{21}$$ = $$\frac{1}{7}$$ .
Therefore, Fraction of Money left = x = $$\frac{3}{21}$$ = $$\frac{1}{7}$$ . Question 3.
Tiffany bought $$\frac{2}{5}$$ kg of cherries. Linda bought $$\frac{1}{10}$$ kg of cherries less than Tiffany. How many kilograms of cherries did they buy altogether?
Fraction of Quantity of Cherries bought by Tiffany = $$\frac{2}{5}$$ kg
Fraction of Quantity of Cherries bought by Linda = x kg
Fraction of Quantity of cherries Linda bought $$\frac{1}{10}$$ kg of cherries less than Tiffany.
Fraction of Quantity of Cherries bought by Linda = x = $$\frac{2}{5}$$ – $$\frac{1}{10}$$
lcm of 2 and 5 is 10 .
x = $$\frac{4}{10}$$ – $$\frac{1}{10}$$
x = $$\frac{3}{10}$$
Fraction of Quantity of cherries bought by both = $$\frac{2}{5}$$  + $$\frac{3}{10}$$  =  $$\frac{4}{10}$$ + $$\frac{3}{10}$$  = $$\frac{7}{10}$$
Therefore, Fraction of Quantity of cherries bought by both = $$\frac{7}{10}$$ Question 4.
Mr. Rivas bought a can of paint. He used $$\frac{3}{8}$$ of it to paint a bookshelf. He used $$\frac{1}{4}$$ of it to paint a wagon. He used some of it to paint a birdhouse and has $$\frac{1}{8}$$ of the paint left. How much paint did he use for the birdhouse?
Fraction of paint used to paint a bookshelf = $$\frac{3}{8}$$
Fraction of paint used to paint a wagon = $$\frac{1}{4}$$
Fraction of paint used to paint a birdhouse = x
Fraction of paint left = $$\frac{1}{8}$$
Total paint = 1 .
1 = $$\frac{3}{8}$$ + $$\frac{1}{4}$$ + x + $$\frac{1}{8}$$
lcm of 4 and 8 is 8 .
$$\frac{8}{8}$$ = $$\frac{3}{8}$$ +$$\frac{2}{8}$$ + x + $$\frac{1}{8}$$
$$\frac{8}{8}$$ = $$\frac{6}{8}$$ + x
x = $$\frac{8}{8}$$ – $$\frac{6}{8}$$
x = $$\frac{2}{8}$$ = $$\frac{1}{4}$$ .
Therefore, Fraction of paint used to paint a bird house = x = $$\frac{2}{8}$$ = $$\frac{1}{4}$$ Question 5.
Ribbon A is $$\frac{1}{3}$$ m long. It is $$\frac{2}{5}$$ m shorter than Ribbon B. What’s the total length of the two ribbons?
Fraction of length of Ribbon A = $$\frac{1}{3}$$ m
Fraction of length of Ribbon A = Fraction of length of Ribbon B – $$\frac{2}{5}$$ m
Fraction of length of Ribbon B = $$\frac{1}{3}$$ + $$\frac{2}{5}$$
Fraction of length of Ribbon B = $$\frac{1}{3}$$ + $$\frac{2}{5}$$ = $$\frac{5}{15}$$ + $$\frac{6}{15}$$ = $$\frac{11}{15}$$
Fraction of Total Length of two ribbons = $$\frac{1}{3}$$ + $$\frac{11}{15}$$ = $$\frac{5}{15}$$ + $$\frac{11}{15}$$ = $$\frac{16}{15}$$ m .
Therefore, Fraction of Total Length of two ribbons =$$\frac{16}{15}$$ m 