eureka math grade 5 module 3 lesson 16 homework

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5th grade (Eureka Math/EngageNY)

Unit 1: module 1: place value and decimal fractions, unit 2: module 2: multi-digit whole number and decimal fraction operations, unit 3: module 3: addition and subtractions of fractions, unit 4: module 4: multiplication and division of fractions and decimal fractions, unit 5: module 5: addition and multiplication with volume and area, unit 6: module 6: problem solving with the coordinate plane.

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Eureka Math Grade 5 Module 3 Lesson 3 Answer Key

Engage ny eureka math 5th grade module 3 lesson 3 answer key, eureka math grade 5 module 3 lesson 3 sprint answer key.

Question 1. \(\frac{1}{2}\) = \(\frac{}{4}\) Answer: \(\frac{1}{2}\) = \(\frac{2}{4}\) Explanation : \(\frac{1}{2}\) = \(\frac{x}{4}\) x = \(\frac{1}{2}\) × 4 x = \(\frac{4}{2}\) x = 2 .

Question 2. \(\frac{1}{5}\) = \(\frac{2}{}\) Answer: \(\frac{1}{5}\) = \(\frac{2}{10}\) Explanation : \(\frac{1}{5}\) = \(\frac{2}{x}\) x = \(\frac{5}{1}\) × 2 x = 10 .

Question 3. \(\frac{2}{5}\) = \(\frac{}{10}\) Answer: \(\frac{2}{5}\) = \(\frac{4}{10}\) Explanation : \(\frac{2}{5}\) = \(\frac{x}{10}\) x = \(\frac{2}{5}\) × 10 x = \(\frac{20}{5}\) x = 4 .

Question 4. \(\frac{3}{5}\) = \(\frac{}{10}\) Answer: \(\frac{3}{5}\) = \(\frac{6}{10}\) Explanation : \(\frac{3}{5}\) = \(\frac{x}{10}\) x = \(\frac{3}{5}\) × 10 x = \(\frac{30}{5}\) x = 6 .

Question 5. \(\frac{4}{5}\) = \(\frac{}{10}\) Answer: \(\frac{4}{5}\) = \(\frac{8}{10}\) Explanation : \(\frac{4}{5}\) = \(\frac{x}{10}\) x = \(\frac{4}{5}\) × 10 x = \(\frac{40}{5}\) x = 8 .

Question 6. \(\frac{1}{3}\) = \(\frac{2}{}\) Answer: \(\frac{1}{3}\) = \(\frac{2}{}\) Explanation : \(\frac{1}{3}\) = \(\frac{2}{x}\) x = \(\frac{3}{1}\) × 2 x = 3 × 2 x = 6 .

Question 7. \(\frac{2}{3}\) = \(\frac{}{9}\) Answer: \(\frac{2}{3}\) = \(\frac{6}{9}\) Explanation : \(\frac{2}{3}\) = \(\frac{x}{9}\) x = \(\frac{2}{3}\) × 9 x = \(\frac{18}{3}\) x = 6 .

Question 8. \(\frac{1}{3}\) = \(\frac{3}{}\) Answer: \(\frac{1}{3}\) = \(\frac{3}{9}\) Explanation : \(\frac{1}{3}\) = \(\frac{3}{x}\) x = \(\frac{3}{1}\) × 3 x = 3 × 3 x = 9 .

Question 9. \(\frac{2}{3}\) = \(\frac{}{9}\) Answer: \(\frac{2}{3}\) = \(\frac{6}{9}\) Explanation : \(\frac{2}{3}\) = \(\frac{x}{9}\) x = \(\frac{2}{3}\) × 9 x = \(\frac{18}{3}\) x = 6 .

Question 10. \(\frac{1}{4}\) = \(\frac{}{8}\) Answer: \(\frac{1}{4}\) = \(\frac{2}{8}\) Explanation : \(\frac{1}{4}\) = \(\frac{x}{8}\) x = \(\frac{1}{4}\) × 8 x = \(\frac{8}{4}\) x = 2 .

Question 11. \(\frac{3}{4}\) = \(\frac{}{8}\) Answer: \(\frac{3}{4}\) = \(\frac{6}{8}\) Explanation : \(\frac{3}{4}\) = \(\frac{x}{8}\) x = \(\frac{3}{4}\) × 8 x = \(\frac{24}{4}\) x = 6 .

Question 12. \(\frac{1}{4}\) = \(\frac{3}{}\) Answer: \(\frac{1}{4}\) = \(\frac{3}{12}\) Explanation : \(\frac{1}{4}\) = \(\frac{3}{x}\) x = \(\frac{4}{1}\) × 3 x = 4 × 3 x = 12 .

Question 13. \(\frac{3}{4}\) = \(\frac{9}{}\) Answer: \(\frac{3}{4}\) = \(\frac{9}{12}\) Explanation : \(\frac{3}{4}\) = \(\frac{9}{x}\) x = \(\frac{4}{3}\) × 9 x = \(\frac{36}{3}\) x = 12 .

Question 14. \(\frac{2}{4}\) = \(\frac{}{2}\) Answer: \(\frac{2}{4}\) = \(\frac{1}{2}\) Explanation : \(\frac{2}{4}\) = \(\frac{x}{2}\) x = \(\frac{2}{4}\) × 2 x = \(\frac{4}{4}\) x = 1 .

Question 15. \(\frac{2}{6}\) = \(\frac{1}{}\) Answer: \(\frac{2}{6}\) = \(\frac{1}{3}\) Explanation : \(\frac{2}{6}\) = \(\frac{1}{x}\) x = \(\frac{6}{2}\) × 1 x = \(\frac{6}{2}\) x = 3 .

Question 16. \(\frac{2}{10}\) = \(\frac{1}{}\) Answer: \(\frac{2}{10}\) = \(\frac{1}{5}\) Explanation : \(\frac{2}{10}\) = \(\frac{1}{x}\) x = \(\frac{10}{2}\) × 1 x = 5 .

Question 17. \(\frac{4}{10}\) = \(\frac{}{5}\) Answer: \(\frac{4}{10}\) = \(\frac{2}{5}\) Explanation : \(\frac{4}{10}\) = \(\frac{x}{5}\) x = \(\frac{4}{10}\) × 5 x = \(\frac{20}{10}\) x = 2 .

Question 18. \(\frac{8}{10}\) = \(\frac{}{5}\) Answer: \(\frac{8}{10}\) = \(\frac{4}{5}\) Explanation : \(\frac{8}{10}\) = \(\frac{x}{5}\) x = \(\frac{8}{10}\) × 5 x = \(\frac{40}{10}\) x = 4 .

Question 19. \(\frac{3}{9}\) = \(\frac{}{3}\) Answer: \(\frac{3}{9}\) = \(\frac{1}{3}\) Explanation : \(\frac{3}{9}\) = \(\frac{x}{3}\) x = \(\frac{3}{9}\) × 3 x = \(\frac{9}{9}\) x = 1 .

Question 20. \(\frac{6}{9}\) = \(\frac{}{3}\) Answer: \(\frac{6}{9}\) = \(\frac{2}{3}\) Explanation : \(\frac{6}{9}\) = \(\frac{x}{3}\) x = \(\frac{6}{9}\) × 3 x = \(\frac{18}{9}\) x = 2 .

Question 21. \(\frac{3}{12}\) = \(\frac{1}{}\) Answer: \(\frac{3}{12}\) = \(\frac{1}{4}\) Explanation : \(\frac{3}{12}\) = \(\frac{1}{x}\) x = \(\frac{3}{12}\) × 1 x = 4 .

Question 22. \(\frac{9}{12}\) = \(\frac{}{4}\) Answer: \(\frac{9}{12}\) = \(\frac{3}{4}\) Explanation : \(\frac{9}{12}\) = \(\frac{x}{4}\) x = \(\frac{9}{12}\) × 4 x = \(\frac{36}{12}\) x = 3 .

Question 23. \(\frac{1}{3}\) = \(\frac{}{12}\) Answer: \(\frac{1}{3}\) = \(\frac{4}{12}\) Explanation : \(\frac{1}{3}\) = \(\frac{x}{12}\) x = \(\frac{1}{3}\) × 12 x = \(\frac{12}{3}\) x = 4 .

Question 24. \(\frac{2}{3}\) = \(\frac{}{12}\) Answer: \(\frac{2}{3}\) = \(\frac{8}{12}\) Explanation : \(\frac{2}{3}\) = \(\frac{x}{12}\) x = \(\frac{2}{3}\) × 12 x = \(\frac{24}{3}\) x = 8 .

Question 25. \(\frac{8}{12}\) = \(\frac{}{3}\) Answer: \(\frac{8}{12}\) = \(\frac{2}{3}\) Explanation : \(\frac{8}{12}\) = \(\frac{x}{3}\) x = \(\frac{8}{12}\) × 3 x = \(\frac{24}{12}\) x = 2 .

Question 26. \(\frac{12}{16}\) = \(\frac{3}{}\) Answer: \(\frac{12}{16}\) = \(\frac{3}{4}\) Explanation : \(\frac{12}{16}\) = \(\frac{3}{x}\) x = \(\frac{16}{12}\) × 3 x = 4 .

Question 27. \(\frac{3}{5}\) = \(\frac{}{25}\) Answer: \(\frac{3}{5}\) = \(\frac{15}{25}\) Explanation : \(\frac{3}{5}\) = \(\frac{x}{25}\) x = \(\frac{3}{5}\) × 25 x = 3 × 5 x = 15 .

Question 28. \(\frac{4}{5}\) = \(\frac{28}{}\) Answer: \(\frac{4}{5}\) = \(\frac{28}{35}\) Explanation : \(\frac{4}{5}\) = \(\frac{28}{x}\) x = \(\frac{5}{4}\) × 28 x = 5 × 7 x = 35 .

Question 29. \(\frac{18}{24}\) = \(\frac{3}{}\) Answer: \(\frac{18}{24}\) = \(\frac{3}{4}\) Explanation : \(\frac{18}{24}\) = \(\frac{3}{x}\) x = \(\frac{24}{18}\) × 3 x = \(\frac{24}{6}\) x = 4 .

Question 30. \(\frac{24}{30}\) = \(\frac{}{5}\) Answer: \(\frac{24}{30}\) = \(\frac{4}{5}\) Explanation : \(\frac{24}{30}\) = \(\frac{x}{5}\) x = \(\frac{24}{30}\) × 5 x = \(\frac{24}{6}\) x = 4 .

Question 31. \(\frac{5}{6}\) = \(\frac{35}{}\) Answer: \(\frac{5}{6}\) = \(\frac{35}{42}\) Explanation : \(\frac{5}{6}\) = \(\frac{35}{x}\) x = \(\frac{6}{5}\) × 35 x = 6 × 7 x = 42 .

Question 32. \(\frac{56}{63}\) = \(\frac{}{9}\) Answer: \(\frac{56}{63}\) = \(\frac{8}{9}\) Explanation : \(\frac{56}{63}\) = \(\frac{x}{9}\) x = \(\frac{56}{63}\) × 9 x = \(\frac{56}{7}\) x = 8 .

Question 33. \(\frac{64}{72}\) = \(\frac{8}{}\) Answer: \(\frac{64}{72}\) = \(\frac{8}{9}\) Explanation : \(\frac{64}{72}\) = \(\frac{8}{x}\) x = \(\frac{72}{64}\) × 8 x = \(\frac{72}{8}\) x = 9 .

Question 34. \(\frac{5}{8}\) = \(\frac{}{64}\) Answer: \(\frac{5}{8}\) = \(\frac{40}{64}\) Explanation : \(\frac{5}{8}\) = \(\frac{x}{64}\) x = \(\frac{5}{8}\) × 64 x = 5 × 8 x = 40 .

Question 35. \(\frac{5}{6}\) = \(\frac{45}{}\) Answer: \(\frac{5}{6}\) = \(\frac{45}{54}\) Explanation : \(\frac{5}{6}\) = \(\frac{45}{x}\) x = \(\frac{6}{5}\) × 45 x = 6 × 9 x = 54 .

Question 36. \(\frac{45}{81}\) = \(\frac{}{9}\) Answer: \(\frac{45}{81}\) = \(\frac{5}{9}\) Explanation : \(\frac{45}{81}\) = \(\frac{x}{9}\) x = \(\frac{45}{81}\) × 9 x = \(\frac{45}{9}\) x = 5 .

Question 37. \(\frac{6}{7}\) = \(\frac{48}{}\) Answer: \(\frac{6}{7}\) = \(\frac{48}{56}\) Explanation : \(\frac{6}{7}\) = \(\frac{48}{x}\) x = \(\frac{7}{6}\) × 48 x = 7 × 8 x = 56 .

Question 38. \(\frac{36}{81}\) = \(\frac{}{9}\) Answer: \(\frac{36}{81}\) = \(\frac{4}{9}\) Explanation : \(\frac{36}{81}\) = \(\frac{x}{9}\) x = \(\frac{36}{81}\) × 9 x = \(\frac{36}{9}\) x = 4 .

Question 39. \(\frac{8}{56}\) = \(\frac{1}{}\) Answer: \(\frac{8}{56}\) = \(\frac{1}{7}\) Explanation : \(\frac{8}{56}\) = \(\frac{1}{x}\) x = \(\frac{8}{56}\) × 1 x = 7 .

Question 40. \(\frac{35}{63}\) = \(\frac{5}{}\) Answer: \(\frac{35}{63}\) = \(\frac{5}{9}\) Explanation : \(\frac{35}{63}\) = \(\frac{5}{x}\) x = \(\frac{63}{35}\) × 5 x = \(\frac{63}{7}\) x = 9 .

Question 41. \(\frac{1}{6}\) = \(\frac{12}{}\) Answer: \(\frac{1}{6}\) = \(\frac{12}{72}\) Explanation : \(\frac{1}{6}\) = \(\frac{12}{x}\) x = \(\frac{6}{1}\) × 12 x = 72 .

Question 42. \(\frac{3}{7}\) = \(\frac{36}{}\) Answer: \(\frac{3}{7}\) = \(\frac{36}{84}\) Explanation : \(\frac{3}{7}\) = \(\frac{36}{x}\) x = \(\frac{7}{3}\) × 36 x = 7 × 12 x = 84 .

Question 43. \(\frac{48}{60}\) = \(\frac{4}{}\) Answer: \(\frac{48}{60}\) = \(\frac{4}{5}\) Explanation : \(\frac{48}{60}\) = \(\frac{4}{x}\) x = \(\frac{60}{48}\) × 4 x = \(\frac{60}{12}\) x = 5 .

Question 44. \(\frac{72}{84}\) = \(\frac{}{7}\) Answer: \(\frac{72}{84}\) = \(\frac{6}{7}\) Explanation : \(\frac{72}{84}\) = \(\frac{x}{7}\) x = \(\frac{72}{84}\) × 7 x = \(\frac{72}{12}\) x = 6 .

Question 1. \(\frac{1}{5}\) = \(\frac{2}{}\) Answer: \(\frac{1}{5}\) = \(\frac{2}{10}\) Explanation : \(\frac{1}{5}\) = \(\frac{2}{x}\) x = \(\frac{5}{1}\) × 2 x = 10 .

Question 2. \(\frac{2}{5}\) = \(\frac{}{10}\) Answer: \(\frac{2}{5}\) = \(\frac{4}{10}\) Explanation : \(\frac{2}{5}\) = \(\frac{x}{10}\) x = \(\frac{2}{5}\) × 10 x = 4 .

Question 3. \(\frac{3}{5}\) = \(\frac{}{10}\) Answer: \(\frac{3}{5}\) = \(\frac{6}{10}\) Explanation : \(\frac{3}{5}\) = \(\frac{x}{10}\) x = \(\frac{3}{5}\) × 10 x = 6 .

Question 4. \(\frac{4}{5}\) = \(\frac{}{10}\) Answer: \(\frac{4}{5}\) = \(\frac{8}{10}\) Explanation : \(\frac{4}{5}\) = \(\frac{x}{10}\) x = \(\frac{4}{5}\) × 10 x = 8 .

Question 5. \(\frac{1}{3}\) = \(\frac{2}{}\) Answer: \(\frac{1}{3}\) = \(\frac{2}{6}\) Explanation : \(\frac{1}{3}\) = \(\frac{2}{x}\) x = \(\frac{3}{1}\) × 2 x = 6

Question 6. \(\frac{1}{3}\) = \(\frac{}{6}\) Answer: \(\frac{1}{3}\) = \(\frac{2}{6}\) Explanation : \(\frac{1}{3}\) = \(\frac{x}{6}\) x = \(\frac{1}{3}\) × 6 x = 2

Question 7. \(\frac{2}{3}\) = \(\frac{4}{}\) Answer: \(\frac{2}{3}\) = \(\frac{4}{12}\) Explanation : \(\frac{2}{3}\) = \(\frac{4}{x}\) x = \(\frac{3}{2}\) × 4 x = 6

Question 8. \(\frac{1}{3}\) = \(\frac{}{9}\) Answer: \(\frac{1}{3}\) = \(\frac{3}{9}\) Explanation : \(\frac{1}{3}\) = \(\frac{x}{9}\) x = \(\frac{1}{3}\) × 9 x = 3

Question 9. \(\frac{2}{3}\) = \(\frac{6}{}\) Answer: \(\frac{2}{3}\) = \(\frac{6}{9}\) Explanation : \(\frac{2}{3}\) = \(\frac{6}{x}\) x = \(\frac{3}{2}\) × 6 x = 9

Question 10. \(\frac{1}{4}\) = \(\frac{2}{}\) Answer: \(\frac{1}{4}\) = \(\frac{2}{8}\) Explanation : \(\frac{1}{4}\) = \(\frac{2}{x}\) x = \(\frac{4}{1}\) × 2 x = 8

Question 11. \(\frac{3}{4}\) = \(\frac{6}{}\) Answer: \(\frac{3}{4}\) = \(\frac{6}{8}\) Explanation : \(\frac{3}{4}\) = \(\frac{6}{x}\) x = \(\frac{4}{3}\) × 6 x = 8

Question 12. \(\frac{1}{4}\) = \(\frac{}{12}\) Answer: \(\frac{1}{4}\) = \(\frac{3}{12}\) Explanation : \(\frac{1}{4}\) = \(\frac{x}{12}\) x = \(\frac{1}{4}\) × 12 x = 3

Question 13. \(\frac{3}{4}\) = \(\frac{}{12}\) Answer: \(\frac{3}{4}\) = \(\frac{9}{12}\) Explanation : \(\frac{3}{4}\) = \(\frac{x}{12}\) x = \(\frac{3}{4}\) × 12 x = 9

Question 14. \(\frac{2}{4}\) = \(\frac{1}{}\) Answer: \(\frac{2}{4}\) = \(\frac{1}{2}\) Explanation : \(\frac{2}{4}\) = \(\frac{1}{x}\) x = \(\frac{4}{2}\) × 1 x = 2

Question 15. \(\frac{2}{6}\) = \(\frac{}{3}\) Answer: \(\frac{2}{6}\) = \(\frac{4}{12}\) Explanation : \(\frac{2}{6}\) = \(\frac{x}{12}\) x = \(\frac{2}{6}\) × 12 x = 4

Question 16. \(\frac{2}{10}\) = \(\frac{}{5}\) Answer: \(\frac{2}{10}\) = \(\frac{1}{5}\) Explanation : \(\frac{2}{10}\) = \(\frac{x}{5}\) x = \(\frac{2}{10}\) × 5 x = 1

Question 17. \(\frac{4}{10}\) = \(\frac{2}{}\) Answer: \(\frac{4}{10}\) = \(\frac{2}{5}\) Explanation : \(\frac{4}{10}\) = \(\frac{2}{x}\) x = \(\frac{10}{4}\) × 2 x = 5

Question 18. \(\frac{8}{10}\) = \(\frac{4}{}\) Answer: \(\frac{8}{10}\) = \(\frac{4}{5}\) Explanation : \(\frac{8}{10}\) = \(\frac{4}{x}\) x = \(\frac{10}{8}\) × 4 x = 5

Question 19. \(\frac{3}{9}\) = \(\frac{1}{}\) Answer: \(\frac{3}{9}\) = \(\frac{1}{3}\) Explanation : \(\frac{3}{9}\) = \(\frac{1}{x}\) x = \(\frac{9}{3}\) × 1 x = 3

Question 20. \(\frac{6}{9}\) = \(\frac{2}{}\) Answer: \(\frac{6}{9}\) = \(\frac{2}{3}\) Explanation : \(\frac{6}{9}\) = \(\frac{2}{x}\) x = \(\frac{9}{6}\) × 2 x = 3

Question 21. \(\frac{1}{4}\) = \(\frac{}{12}\) Answer: \(\frac{1}{4}\) = \(\frac{3}{12}\) Explanation : \(\frac{1}{4}\) = \(\frac{x}{12}\) x = \(\frac{1}{4}\) × 12 x = 3

Question 22. \(\frac{9}{12}\) = \(\frac{3}{}\) Answer: \(\frac{9}{12}\) = \(\frac{3}{}\) Explanation : \(\frac{6}{9}\) = \(\frac{2}{x}\) x = \(\frac{9}{6}\) × 2 x = 3

Question 23. \(\frac{1}{3}\) = \(\frac{4}{}\) Answer: \(\frac{1}{3}\) = \(\frac{4}{12}\) Explanation : \(\frac{1}{3}\) = \(\frac{4}{x}\) x = \(\frac{3}{1}\) × 4 x = 12

Question 24. \(\frac{2}{3}\) = \(\frac{8}{}\) Answer: \(\frac{2}{3}\) = \(\frac{8}{12}\) Explanation : \(\frac{2}{3}\) = \(\frac{8}{x}\) x = \(\frac{3}{2}\) × 8 x = 12

Question 25. \(\frac{8}{12}\) = \(\frac{2}{}\) Answer: \(\frac{8}{12}\) = \(\frac{2}{3}\) Explanation : \(\frac{8}{12}\) = \(\frac{2}{x}\) x = \(\frac{12}{8}\) × 2 x = 3

Question 26. \(\frac{12}{16}\) = \(\frac{}{4}\) Answer: \(\frac{12}{16}\) = \(\frac{3}{4}\) Explanation : \(\frac{12}{16}\) = \(\frac{x}{4}\) x = \(\frac{12}{16}\) × 4 x = 3

Question 27. \(\frac{3}{5}\) = \(\frac{15}{}\) Answer: \(\frac{3}{5}\) = \(\frac{15}{25}\) Explanation : \(\frac{3}{5}\) = \(\frac{15}{x}\) x = \(\frac{5}{3}\) × 15 x = 25

Question 28. \(\frac{4}{5}\) = \(\frac{}{35}\) Answer: \(\frac{4}{5}\) = \(\frac{28}{35}\) Explanation : \(\frac{4}{5}\) = \(\frac{x}{35}\) x = \(\frac{4}{5}\) × 35 x = 28

Question 29. \(\frac{18}{24}\) = \(\frac{}{4}\) Answer: \(\frac{18}{24}\) = \(\frac{3}{4}\) Explanation : \(\frac{18}{24}\) = \(\frac{x}{4}\) x = \(\frac{18}{24}\) × 4 x = 3

Question 30. \(\frac{24}{30}\) = \(\frac{4}{}\) Answer: \(\frac{24}{30}\) = \(\frac{4}{5}\) Explanation : \(\frac{24}{30}\) = \(\frac{4}{x}\) x = \(\frac{30}{24}\) × 4 x = 5

Question 31. \(\frac{5}{6}\) = \(\frac{}{42}\) Answer: \(\frac{5}{6}\) = \(\frac{35}{42}\) Explanation : \(\frac{5}{6}\) = \(\frac{x}{42}\) x = \(\frac{5}{6}\) × 42 x = 35

Question 32. \(\frac{56}{63}\) = \(\frac{8}{}\) Answer: \(\frac{56}{63}\) = \(\frac{8}{9}\) Explanation : \(\frac{56}{63}\) = \(\frac{8}{x}\) x = \(\frac{63}{56}\) × 8 x = 9

Question 33. \(\frac{64}{72}\) = \(\frac{}{9}\) Answer: \(\frac{64}{72}\) = \(\frac{8}{9}\) Explanation : \(\frac{64}{72}\) = \(\frac{x}{9}\) x = \(\frac{64}{72}\) × 9 x = 8

Question 34. \(\frac{5}{8}\) = \(\frac{40}{}\) Answer: \(\frac{5}{8}\) = \(\frac{40}{64}\) Explanation : \(\frac{5}{8}\) = \(\frac40}{x}\) x = \(\frac{8}{5}\) × 40 x = 64

Question 35. \(\frac{5}{6}\) = \(\frac{}{54}\) Answer: \(\frac{5}{6}\) = \(\frac{45}{54}\) Explanation : \(\frac{5}{6}\) = \(\frac{x}{54}\) x = \(\frac{5}{6}\) × 54 x = 45

Question 36. \(\frac{45}{81}\) = \(\frac{5}{}\) Answer: \(\frac{45}{81}\) = \(\frac{5}{9}\) Explanation : \(\frac{45}{81}\) = \(\frac{x}{9}\) x = \(\frac{45}{81}\) × 9 x = 9

Question 37. \(\frac{6}{7}\) = \(\frac{}{56}\) Answer: \(\frac{6}{7}\) = \(\frac{48}{56}\) Explanation : \(\frac{6}{7}\) = \(\frac{x}{56}\) x = \(\frac{7}{6}\) × 56 x = 48

Question 38. \(\frac{36}{81}\) = \(\frac{4}{}\) Answer: \(\frac{36}{81}\) = \(\frac{4}{9}\) Explanation : \(\frac{36}{81}\) = \(\frac{4}{x}\) x = \(\frac{81}{36}\)  × 4 x = 9

Question 39. \(\frac{8}{56}\) = \(\frac{}{7}\) Answer: \(\frac{8}{56}\) = \(\frac{1}{7}\) Explanation : \(\frac{8}{56}\) = \(\frac{x}{7}\) x = \(\frac{8}{56}\) × 7 x = 1

Question 40. \(\frac{35}{63}\) = \(\frac{}{9}\) Answer: \(\frac{35}{63}\) = \(\frac{5}{9}\) Explanation : \(\frac{35}{63}\) = \(\frac{x}{9}\) x = \(\frac{35}{63}\) × 9 x = 5

Question 41. \(\frac{1}{6}\) = \(\frac{}{72}\) Answer: \(\frac{1}{6}\) = \(\frac{12}{72}\) Explanation : \(\frac{1}{6}\) = \(\frac{x}{72}\) x = \(\frac{1}{6}\) × 72 x = 12

Question 42. \(\frac{3}{7}\) = \(\frac{}{84}\) Answer: \(\frac{3}{7}\) = \(\frac{36}{84}\) Explanation : \(\frac{3}{7}\) = \(\frac{x}{84}\) x = \(\frac{3}{7}\) × 84 x = 36

Question 43. \(\frac{48}{60}\) = \(\frac{}{5}\) Answer: \(\frac{48}{60}\) = \(\frac{4}{5}\) Explanation : \(\frac{48}{60}\) = \(\frac{x}{5}\) x = \(\frac{48}{60}\) × 5 x = 4

Question 44. \(\frac{72}{84}\) = \(\frac{6}{}\) Answer: \(\frac{72}{84}\) = \(\frac{6}{7}\) Explanation : \(\frac{72}{84}\) = \(\frac{6}{x}\) x = \(\frac{84}{72}\)  × 6 x = 7

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

Explanation : Divide the first rectangle into 3 parts using vertical lines as first fraction is \(\frac{2}{3}\) and each vertical section represents \(\frac{1}{3}\) and 2 parts are shaded. Divide the Second  rectangle into 7 parts using horizontal lines as Second fraction is \(\frac{2}{7}\) and each horizontal fraction represent \(\frac{1}{7}\) and 2 parts are shaded. As 7 and 3 have 21 lcm now divide both the rectangles into 21 parts . First rectangle divided into 21 parts by drawing 6 horizontal lines and second rectangle into 21 parts by drawing 2 vertical line Write fraction of shaded parts and add them .

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

Question 2. In one hour, Ed used \(\frac{2}{5}\) of the time to complete his homework and \(\frac{1}{4}\) of the time to check his email. How much time did he spend completing homework and checking email? Write your answer as a fraction. (Extension: Write the answer in minutes.) Answer: Time used by Ed to complete his home work = \(\frac{2}{5}\) Time used by Ed to check his email = \(\frac{1}{4}\) Total Time Spent by Ed = \(\frac{2}{5}\) + \(\frac{1}{4}\) = \(\frac{8}{20}\) +\(\frac{5}{20}\) = \(\frac{13}{20}\) . 1 hour =  \(\frac{20}{20}\) = \(\frac{60}{60}\) multiplied by 3 \(\frac{13}{20}\) = \(\frac{39}{60}\) that means 39 minutes .

Eureka Math Grade 5 Module 3 Lesson 3 Homework Answer Key

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