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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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- Grade 5 Eureka - Answer Keys Module 1
After a lesson on exponents, Tia went home and said to her mom, “I learned that \(10^4\) is the same as 40,000.” She has made a mistake in her thinking. Use words, numbers, or a place value chart to help Tia correct her mistake. first or ! (it's free) | ||||
Solve 247 ÷ 10² and 247 × 10² . a.What is different about the two answers? Use words, numbers, or pictures to explain how the digits shift. | \(247\div10^2=\) | |||
\(247\times10^2=\) |
Explanation:
b. Based on the answers from the pair of expressions above, solve 247 ÷ 10³ and 247 × 10³ .
\(247\div10^3=\) | ||||
\(247\times10^3=\) |
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Home > CC2 > Chapter 5 > Lesson 5.1.1
Lesson 5.1.1, lesson 5.1.2, lesson 5.2.1, lesson 5.2.2, lesson 5.2.3, lesson 5.2.4, lesson 5.2.5, lesson 5.2.6, lesson 5.3.1, lesson 5.3.2, lesson 5.3.3, lesson 5.3.4, lesson 5.3.5.
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Engage NY // Eureka Math Grade 5 Module 5 Lesson 3 Homework
Lesson 3 Homework Helper 5•1. A STORY OF UNITS. 1. Write the following in exponential form. c. 100,000 = 105. 2. Write the following in standard form. c. 643 ÷ 103 = 0.643. 3. Complete the ...
EngageNY/Eureka Math Grade 5 Module 1 Lesson 3For more Eureka Math (EngageNY) videos and other resources, please visit http://EMBARC.onlinePLEASE leave a mes...
Eureka Math™Homework Helper 2015-2016. 2015-16. Lesson 1 : Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. 5•1. G5-M1-Lesson 1. Note: It is common to encourage students to simply "move the decimal point" a number of places when multiplying or dividing by ...
Eureka Math Grade 5 Module 1 Lesson 3 Homework Answer Key. Question 1. Write the following in exponential form (e.g., 100 = 10 2). a. 1000 = _____ ... is the same as 40,000." She has made a mistake in her thinking. Use words, numbers, or a place value chart to help Tia correct her mistake. Answer:- Actually, 10 power 4 = 10 x 10 x 10 x 10 ...
Unit 5: Module 5: Addition and multiplication with volume and area. 0/1400 Mastery points. Topic A: Concepts of volume Topic B: Volume and the operations of multiplication and addition Topic C: Area of rectangular figures with fractional side lengths. Topic D: Drawing, analysis, and classification of two-dimensional shapes.
Eureka Math Grade 5 Module 5 Lesson 3 Exit Ticket Answer Key. Question 1. Use unit cubes to build the figure to the right, and fill in the missing information. Question 2. This prism measures 3 units by 4 units by 2 units. Draw the layers as indicated.
Engage NY Eureka Math 5th Grade Module 3 Lesson 3 Answer Key Eureka Math Grade 5 Module 3 Lesson 3 Sprint Answer Key A Find the Missing Numerator or Denominator Question 1. = Answer: = ... x = \(\frac{5}{1}\) × 2 x = 10 . Question 2. \(\frac{2}{5}\) = \(\frac{}{10}\) Answer: ... Eureka Math Grade 5 Module 3 Lesson 3 Homework Answer Key ...
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5Lesson 3 Homework Lesson 3: Write and interpret numerical expressions and compare expressions using a visual model. Name Date 1. Draw a model. Then, write the numerical expressions. a. The sum of 21 and 4, doubled b. 5 times the sum of 7 and 23 c. 2 times the difference between 49.5 and 37.5 d.
The notation P (F|E) means the probability of event F given event E. True. Study with Quizlet and memorize flashcards containing terms like In a probability model, the sum of the probabilities of all outcomes must equal 1. True or False?, Probability of a measure of the likelihood of a random phenomenon or chance behavior.
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Lesson 1 Homework NYS COMMON CORE MATHEMATICS CURRICULUM 5•1. Name Date 1. Record the digits of the first factor on the top row of the place value chart. Draw arrows to show how the value of each digit changes when you multiply. Record the product on the second row of the place value chart. The first one has been done for you.
After a lesson on exponents, Tia went home and said to her mom, "I learned that 104 10 4 is the same as 40,000.". She has made a mistake in her thinking. Use words, numbers, or a place value chart to help Tia correct her mistake. Type below: (show solution) Question 5 (request help) Solve 247 ÷ 10² and 247 × 10² .
(Lesson 1.2) 0 100 times as much as 0 1,000 times as much as 10,000 times as much as 100,000 times as much as 5. At the bank, Brent exchanges $50 in bills for 50 one-dollar coins. The total mass of the coins is 405 grams. Estimate the mass of 1 one-dollar coin. (Lesson 2.5) @ 1 gram 8 grams 50 grams 100 grams P102 . Title: Go Math! Practice ...
Our expert help has broken down your problem into an easy-to-learn solution you can count on. See Answer See Answer See Answer done loading. ... AO Lesson 3 Homework 5.1 Name Date 1 Write the following in exponential form (ex. 100-10). 1000 d. 100 - 10 1010 1.000.000 100.000 10.000 10 - 2. Write the following in standard form (e c.410400) 10 6. ...
rect!Lesson 14:eureka-math.orgG4-M1-HWH-1.3.-08.2015Use place value understanding to decompose to smaller units up to three times using the standard subtraction a lgorithm, and apply t. e algorithm to solve word problems using tape diagr.ams.Use the s. on algorithm to solve the p. − 6 0 7 0,I.
Eureka Math Lesson 15 Homework 5.1 Answer Key. Lesson 2 Homework 5 1 Answers - 112020 Eureka Math Homework Helper 2015-2016 Grade 5 Module 1. 230 x 20 4600. Grade 5 Eureka - Answer Keys Module 2. 23 x 20 460. 23 tens x 2. Name decimal fractions in expanded unit and word lesson 2. 13.09.2021 Lesson 14 Homework 5 1 Name Date 1.
Home > CC3 > Chapter 5 > Lesson 5.1.2 > Problem 5-18. 5-18. Solve each equation below. Step 1 (a): Multiply both sides of the equation by a common multiple of and to get rid of the fractions. Step 2 (a): Combine like terms. Step 3 (a): Divide both sides by .
Grade 5 mathematics module 1, topic e, lesson 11. Lesson 11 homework 5.1 answers to logo image 7. Lesson 11 homework 5 name date 1. Lesson 11 homework 5.1 answers to logo image 8. Geometry module 1, topic b, lesson 11. math problem. Grade 5 module 1 lesson 16 problem set.
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View Homework Help - Chapter 5 Homework Answers.pdf from MATH IB HL 3-4 at Lincoln High School. Lesson 5.1.1 5-4. a: x = 5 d: x = ! 5-5. 1 4 b: x = 6 c: x = 5 or 6 e: x = 8 f: x = ! 1 4 or. AI Homework Help. ... Core Connections Integrated II Lesson 5.2.3 5-89. a: ...