module 4 lesson 30 homework grade 5

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Eureka Math Grade 4 Module 5 Lesson 30 Answer Key

Engage ny eureka math 4th grade module 5 lesson 30 answer key, eureka math grade 4 module 5 lesson 30 sprint answer key.

Answer: 3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 4 = 3 + 1, 4/3 = 3/3 + 1/3, 4/3 = 1 + 1/3, 4/3 = 1(1/3), 7 = 5 + 2, 7/5 = 5/5 + 2/5, 7/5 = 1 + 2/5, 7/5 = 1(1/5), 8/5 = 1(3/5), 9/5 = 1(4/5), 6/5 = 1(1/5), 10/5 = 2, 11/5 = 10/5 + 1/5, 11/5 = 2 + 1/5, 6/3 = 2, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 2/3, 8/3 = 2(2/3), 9/4 = 8/4 + 1/4, 9/4 = 2 + 1/4, 11/4 = 2(3/4), 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2(2/3), 14/5 = 10/5 + 4/5, 14/5 = 10/5 + 4/5, 14/5 = 2(4/5), 13/5 = 2(3/5), 9/8 = 1 + 1/8, 15/8 = 1 + 7/8, 17/12 = 12/12 + 5/12, 11/8 = 1 + 3/8, 17/12 = 1 + 5/12.

Question 1. 3 = 2 + ___1___

Answer: 3 = 2 + 1.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 3 = 2 + 1. 2 + 1 = 3.

\(\frac{3}{2}\) = \(\frac{2}{2}\) + \(\frac{1}{2}\)

Answer: 3/2 = 2/2 + 1/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 3/2 = 2/2 + 1/2. 2 + 1 = 3. 2/2 + 1/2 = 3/2.

Question 3. \(\frac{3}{2}\) = 1 + \(\frac{1}{2}\)

Answer: 3/2 = 1 + 1/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 3/2 = 1 + 1/2. 2 + 1 = 3. 1 + 1/2 = 3/2.

Question 4. \(\frac{3}{2}\) = 1\(\frac{1}{2}\)

Answer: 3/2 = 1 x 1/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 3/2 = 1 x 1/2. 2 + 1 = 3. 1 x 1/2 = 3/2.

Question 5. 5 = 4 + __1___

Answer: 5 = 4 + 1.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5 = 4 + 1. 4 + 1 = 5.

Question 6. \(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)

Answer: 5/4 = 4/4 + 1/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/4 = 4/4 + 1/4. 4 + 1 = 5. 1/4 + 4/4 = 5/4.

Question 7. \(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)

Answer: 5/4 = 1 + 1/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/4 = 1 + 1/4. 4 + 1 = 5. 1 + 1/4 = 5/4.

Question 8. \(\frac{5}{4}\) = 1\(\frac{1}{4}\)

Answer: 5/4 = 1 x 1/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/4 = 1 x 1/4. 4 + 1 = 5. 1 x 1/4 = 5/4.

Question 9. 4 = __3__ + 1

Answer: 4 = 3 + 1.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 4 = 3 + 1. 3 + 1 = 4.

Question 10. \(\frac{4}{3}\) = \(\frac{3}{3}\) + \(\frac{1}{3}\)

Answer: 4/3 = 3/3 + 1/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 4/3 = 3/3 + 1/3. 3 + 1 = 4. 1/3 + 3/3 = 4/3.

Question 11. \(\frac{4}{3}\) = 1 + \(\frac{1}{3}\)

Answer: 4/3 = 1 + 1/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 4/3 = 1 + 1/3. 3 + 1 = 4. 1/3 + 1 = 4/3.

Question 12. \(\frac{4}{3}\) = __1___ \(\frac{1}{3}\)

Answer: 4/3 = 1 x 1/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 4/3 = 1 x 1/3. 3 + 1 = 4. 1/3 x 1 = 4/3.

Question 13. 7 = __5__ + 2

Answer: 7 = 5 + 2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7 = 5 + 2. 2 + 5 = 7.

Question 14. \(\frac{7}{5}\) = \(\frac{5}{5}\) + \(\frac{2}{5}\)

Answer: 7/5 = 5/5 + 2/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7/5 = 5/5 + 2/5. 5 + 2 = 7. 5/5 + 2/5 = 7/5.

Question 15. \(\frac{7}{5}\) = 1 + \(\frac{2}{5}\)

Answer: 7/5 = 1 + 2/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7/5 = 1 + 2/5. 6 + 1 = 7. 2/5 + 1 = 7/5.

Question 16. \(\frac{7}{5}\) = 1\(\frac{1}{5}\)

Answer: 7/5 = 1 x 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7/5 = 1 x 1/5. 6 + 1 = 7. 1/5 x 1 = 7/5.

Question 17. \(\frac{8}{5}\) = 1\(\frac{1}{5}\)

Answer: 8/5 = 1 x 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/5 = 1 x 1/5. 7 + 1 = 8. 1/5 x 1 = 8/5.

Question 18. \(\frac{9}{5}\) = 1\(\frac{4}{5}\)

Answer: 9/5 = 1 x 4/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 9/5 = 1 x 4/5. 8 + 1 = 9. 4/5 x 1 = 9/5.

Question 19. \(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Answer: 6/5 = 1 x 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 6/5 = 1 x 1/5. 5 + 1 = 6. 1/5 x 1 = 6/5.

Question 20. \(\frac{10}{5}\) = 2.

Answer: 10/5 = 2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 10/5 = 2. 5 x 2 = 10. 2 = 10/5.

Question 21. \(\frac{11}{5}\) = \(\frac{10}{5}\) + \(\frac{1}{5}\)

Answer: 11/5 = 10/5 + 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 11/5 = 10/5 + 1/5. 10 + 1 = 11. 10/5 + 1/5 = 11/5.

Question 22. \(\frac{11}{5}\) = 2 + \(\frac{1}{5}\)

Answer: 11/5 = 2 + 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 11/5 = 2 + 1/5. 10 + 1 = 11. 1/5 + 2 = 11/5.

Question 23. \(\frac{6}{3}\) = 2.

Answer: 6/3 = 2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 6/3 = 2. 3 x 2 = 6. 2 = 6/3.

Question 24. \(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)

Answer: 8/3 = 6/3 + 2/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/3 = 6/3 + 2/3. 6 + 2 = 8. 2/3 + 6/3 = 8/3.

Question 25. \(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/3 = 6/3 + 2/3. 6 + 2 = 8. 6/3 + 2/3 = 8/3.

Question 26. \(\frac{8}{3}\) = 2 + \(\frac{2}{3}\)

Answer: 8/3 = 2 + 2/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/3 = 2 + 2/3. 7 + 1 = 8. 2 + 2/3 = 8/3.

Question 27. \(\frac{8}{3}\) = 2\(\frac{2}{3}\)

Question 28. \(\frac{9}{4}\) = \(\frac{8}{4}\) + \(\frac{1}{4}\)

Answer: 9/4 = 8/4 + 1/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 9/4 = 8/4 + 1/4. 6 + 2 = 8. 1/4 + 8/4 = 9/4.

Question 29. \(\frac{9}{4}\) = 2 + \(\frac{1}{4}\)

Answer: 9/4 = 2 + 1/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 9/4 = 2 + 1/4. 8 + 1 = 9. 2 + 1/4 = 9/4.

Question 30. \(\frac{9}{4}\) = ___2__ \(\frac{1}{4}\)

Answer: 9/4 = 2 x 1/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 9/4 = 2 x 1/4. 8 + 1 = 9. 2 x 1/4 = 9/4.

Question 31. \(\frac{11}{4}\) = ___2__ \(\frac{3}{4}\)

Answer: 11/4 = 2 x 3/4.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 11/4 = 2 x 3/4. 10 + 1 = 11. 2 x 3/4 = 11/4.

Question 32. \(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)

Question 33. \(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)

Question 34. \(\frac{8}{3}\) =

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/3 = 2 + 2/3. 6 + 2 = 8. 2/3 + 2 = 8/3.

Question 35. \(\frac{8}{3}\) = ___2___ \(\frac{2}{3}\)

Answer: 8/3 = 2 x 2/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/3 = 2 x 2/3. 6 + 2 = 8. 2/3 x 2 = 8/3.

Question 36. \(\frac{14}{5}\) = \(\frac{10}{5}\) + \(\frac{4}{5}\)

Answer: 14/5 = 10/5 + 4/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 14/5 = 10/5 + 4/5. 10 + 4 = 14. 4/5 + 10/5 = 14/5.

Question 37. \(\frac{14}{5}\) = ___2___ + \(\frac{4}{5}\)

Answer: 14/5 = 2 + 4/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 14/5 = 2 + 4/5. 10 + 4 = 14. 4/5 + 2 = 14/5.

Question 38. \(\frac{14}{5}\) = 2\(\frac{4}{5}\)

Answer: 14/5 = 2 x 4/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 14/5 = 2 x 4/5. 10 + 4 = 14. 4/5 x 2 = 14/5.

Question 39. \(\frac{13}{5}\) = 2\(\frac{3}{5}\)

Answer: 13/5 = 2 x 3/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 13/5 = 2 x 3/5. 10 + 3 = 13. 3/5 x 2 = 13/5.

Question 40. \(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)

Answer: 9/8 = 1 + 1/8.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 9/8 = 1 + 1/8. 8 + 1 = 9. 1/8 + 1 = 9/8.

Question 41. \(\frac{15}{8}\) = 1 + \(\frac{7}{8}\)

Answer: 15/8 = 1 + 7/8.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 15/8 = 1 + 7/8. 10 + 5 = 15. 7/8 + 1 = 15/8.

Question 42. \(\frac{17}{12}\) = \(\frac{12}{12}\) + \(\frac{5}{12}\)

Answer: 17/12 = 12/12 + 5/12.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 17/12 = 12/12 + 5/12. 12 + 5 = 17. 5/12 + 12/12 = 17/12.

Question 43. \(\frac{11}{8}\) = 1 + \(\frac{3}{8}\)

Answer: 11/8 = 1 + 3/8.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 11/8 = 1 + 3/8. 10 + 1 = 11. 3/8 + 1 = 11/8.

Question 44. \(\frac{17}{12}\) = 1 + \(\frac{5}{12}\)

Answer: 17/12 = 1 + 5/12.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 17/12 = 1 + 5/12. 10 + 1 = 11. 5/12 + 1 = 17/12.

Answer: 6 = 5 +1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 4 = 3 + 1, 4/3 = 3/3 + 1/3, 4/3 = 1 + 1/3, 4/3 = 1(1/3), 5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/8, 8/5 = 1 + 3/5, 8/5 = 1(1/5), 9/5 = 1(4/5), 6/5 = 1(1/5), 7/5 = 1(2/5), 6/3 = 2, 7/3 = 6/3 + 1/3, 7/3 = 2 + 1/3, 4/2 = 2, 5/2 = 4/2 + 1/2, 5/2 = 4/2 + 1/2, 5/2 = 4/2 + 1/2, 5/2 = 2 + 1/2, 5/2 = 2(1/2), 11/5 = 10/5 + 1/5, 11/5 = 2 + 1/5, 11/5 = 2(1/5), 13/5 = 2(3/5), 5/3 = 4/3 + 1/3, 5/2 = 4/2 + 1/2, 5/2 = 2 + 1/2, 5/2 = 2(1/2), 12/5 = 10/5 + 2/5, 12/5 = 2 + 2/5, 12/5 = 2(2/5), 14/5 = 2(4/5), 9/8 = 1 + 1/8, 11/8 = 1 + 3/8, 19/12 = 12/12 + 7/12, 15/8 = 1 + 7/8, 19/12 = 1 + 7/12.

Question 1. 6 = 5 + __1____

Answer: 6 = 5 + 1.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 6 = 5 + 1. 1 + 5 = 6.

Question 2. \(\frac{6}{5}\) = \(\frac{5}{5}\) + \(\frac{1}{5}\)

Answer: 6/5 = 5/5 + 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 6/5 = 5/5 + 1/5. 5 + 1 = 6. 5/5 + 1/5 = 6/5.

Question 3. \(\frac{6}{5}\) = 1 + \(\frac{1}{5}\)

Answer: 6/5 = 1 + 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 6/5 = 1 + 1/5. 5 + 1 = 6. 1/5 + 1 = 6/5.

Question 4. \(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 6/5 = 1 x 1/5. 5 + 1 = 6. 1/5 + 1 = 6/5.

Question 5. 4 = 3 + __1___

Explanation: In the above-given question, given that, change mixed numbers to fractions. 4 = 3 + 1. 1 + 3 = 4.

Question 6. \(\frac{4}{3}\) = \(\frac{3}{3}\) + \(\frac{1}{3}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 4/3 = 3/3 + 1/3. 3 + 1 = 4. 3/3 + 1/3 = 4/3.

Question 7. \(\frac{4}{3}\) = 1 + \(\frac{1}{3}\)

Question 8. \(\frac{4}{3}\) = 1\(\frac{1}{3}\)

Question 9. 5 = __4__ + 1

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5 = 4 + 1. 1 + 4 = 5.

Question 10. \(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/4 = 4/4 + 1/4. 4 + 1 = 5. 4/4 + 1/4 = 5/4.

Question 11. \(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/4 = 1 + 1/4. 4 + 1 = 5. 1/4 + 1 = 5/4.

Question 12. \(\frac{5}{4}\) = __1___ \(\frac{1}{4}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/4 = 1 x 1/4. 4 + 1 = 5. 1/4 x 1 = 5/4.

Question 13. 8 = __5__ + 3

Answer: 8 = 5 + 3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8 = 5 + 3. 3 + 5 = 8.

Question 14. \(\frac{8}{5}\) = \(\frac{5}{5}\) + \(\frac{3}{5}\)

Answer: 8/5 = 5/5 + 3/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/5 = 5/5 + 3/5. 7 + 1 = 8. 5/5 + 3/5 = 8/5.

Question 15. \(\frac{8}{5}\) = 1 + \(\frac{3}{5}\)

Answer: 8/5 = 1 + 3/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/5 = 1 + 3/5. 7 + 1 = 8. 3/5 + 1 = 8/5.

Question 16. \(\frac{8}{5}\) = 1\(\frac{3}{5}\)

Answer: 8/5 = 1 x 3/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 8/5 = 1 x 3/5. 7 + 1 = 8. 3/5 x 1 = 8/5.

Question 17. \(\frac{9}{5}\) = 1\(\frac{4}{5}\)

Question 18. \(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Question 19. \(\frac{7}{5}\) = 1\(\frac{2}{5}\)

Answer: 7/5 = 1 x 2/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7/5 = 1 x 2/5. 6 + 1 = 7. 2/5 x 1 = 7/5.

Question 20. \(\frac{6}{3}\) = 2

Answer: 2 = 6/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 2 = 6/3. 3 x 2 = 6. 6/3 = 2.

Question 21. \(\frac{7}{3}\) = \(\frac{6}{3}\) + \(\frac{1}{3}\)

Answer: 7/3 = 6/3 + 1/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7/3 = 6/3 + 1/3. 6 + 1 = 7. 1/3 + 6/3 = 7/3.

Question 22. \(\frac{7}{3}\) = 2 + \(\frac{1}{3}\)

Answer: 7/3 = 2 + 1/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 7/3 = 2 + 1/3. 5 + 2 = 7. 1/3 + 2 = 7/3.

Question 23. \(\frac{4}{2}\) = 2.

Answer: 2 = 4/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 2 = 4/2. 2 x 2 = 4. 4/2 = 2.

Question 24. \(\frac{5}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\)

Answer: 5/2 = 4/2 + 1/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/2 = 4/2 + 1/2. 4 + 1 = 5. 1/2 + 4/2 = 5/2.

Question 25. \(\frac{5}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\)

Question 26. \(\frac{5}{2}\) = 2 + \(\frac{1}{2}\)

Answer: 5/2 = 2 + 1/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/2 = 2 + 1/2. 4 + 1 = 5. 1/2 + 2 = 5/2.

Question 27. \(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Answer: 5/2 = 2 x 1/2.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/2 = 2 x 1/2. 4 + 1 = 5. 1/2 x 2 = 5/2.

Question 28. \(\frac{11}{5}\) = \(\frac{10}{5}\) + \(\frac{1}{5}\)

Question 29. \(\frac{11}{5}\) = 2 + \(\frac{1}{5}\)

Question 30. \(\frac{11}{5}\) = __2___ \(\frac{1}{5}\)

Answer: 11/5 = 2 x 1/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 11/5 = 2 x 1/5. 10 + 1 = 11. 1/5 x 2 = 11/5.

Question 31. \(\frac{13}{5}\) = __2___ \(\frac{3}{5}\)

Question 32. \(\frac{5}{3}\) = \(\frac{4}{3}\) + \(\frac{1}{3}\)

Answer: 5/3 = 4/3 + 1/3.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 5/3 = 4/3 + 1/3. 4 + 1 = 5. 1/3 + 4/3 = 5/3.

Question 33. \(\frac{5}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\)

Question 34. \(\frac{5}{2}\) = ____2__ + \(\frac{1}{2}\)

Question 35. \(\frac{5}{2}\) = __2____ \(\frac{1}{2}\)

Question 36. \(\frac{12}{5}\) = \(\frac{10}{5}\) + \(\frac{2}{5}\)

Answer: 12/5 = 10/5 + 2/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 12/5 = 10/5 + 2/5. 10 + 2 = 12. 2/5 + 10/5 = 12/5.

Question 37. \(\frac{12}{5}\) = ___2___ + \(\frac{2}{5}\)

Answer: 12/5 = 2 + 2/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 12/5 = 2 + 2/5. 11 + 1 = 12. 2/5 + 2 = 12/5.

Question 38. \(\frac{12}{5}\) = 2\(\frac{2}{5}\)

Answer: 12/5 = 2 x 2/5.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 12/5 = 2 x 2/5. 11 + 1 = 12. 2/5 x 2 = 12/5.

Question 39. \(\frac{14}{5}\) = 2\(\frac{4}{5}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 14/5 = 2 x 4/5. 13 + 1 = 14. 4/5 x 2 = 14/5.

Question 41. \(\frac{11}{8}\) = 1 + \(\frac{3}{8}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 11/8 = 1 + 3/8. 8 + 1 = 9. 3/8 + 1 = 11/8.

Question 42. \(\frac{19}{12}\) = \(\frac{12}{12}\) + \(\frac{7}{12}\)

Answer: 19/12 = 12/12 + 7/12.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 19/12 = 12/12 + 7/12. 10 + 2 = 12. 7/12 + 12/12 = 19/12.

Question 43. \(\frac{15}{8}\) = 1 + \(\frac{7}{8}\)

Explanation: In the above-given question, given that, change mixed numbers to fractions. 15/8 = 1 + 7/8. 14 + 1 = 15. 7/8 + 1 = 15/8.

Question 44. \(\frac{19}{12}\) = 1 + \(\frac{7}{12}\)

Answer: 19/12 = 1 + 7/12.

Explanation: In the above-given question, given that, change mixed numbers to fractions. 19/12 = 1 + 7/12. 10 + 9 = 19. 7/12 + 1 = 19/12.

Eureka Math Grade 4 Module 5 Lesson 30 Problem Set Answer Key

Question 1. Solve. a. 3\(\frac{1}{4}\) + \(\frac{1}{4}\)

Answer: 3(1/4) + (1/4) = 14/4.

Explanation: In the above-given question, given that, Addition the fractions. 3(1/4) + (1/4). 3 x 4 = 12. 12 + 1/4 = 13/4. 13/4 + 1/4 = 14/4. 3(1/4) + (1/4) = 14/4.

b. 7\(\frac{3}{4}\) + \(\frac{1}{4}\)

Answer: 7(3/4) + (1/4) = 32/4.

Explanation: In the above-given question, given that, Addition the fractions. 7(3/4) + (1/4). 7 x 4 = 28. 28 + 3/4 = 31/4. 31/4 + 1/4 = 32/4. 7(3/4) + (1/4) = 32/4.

c. \(\frac{3}{8}\) + 5\(\frac{2}{8}\)

Answer: 5(2/8) + (3/8) = 46/8.

Explanation: In the above-given question, given that, Add the fractions. 5(2/8) + (3/8). 5 x 8 = 40. 40 + 3/8 = 43/8. 43/8 + 3/8 = 46/8. 5(2/8) + (3/8) = 46/8.

d. \(\frac{1}{8}\) + 6\(\frac{7}{8}\)

Answer: 6(7/8) + (1/8) = 56/8.

Explanation: In the above-given question, given that, Add the fractions. 6(7/8) + (1/8). 6 x 8 = 48. 48 + 7/8 = 55/8. 55/8 + 1/8 = 56/8. 6(7/8) + (1/8) = 56/8.

Question 2. Complete the number sentences. a. 4\(\frac{7}{8}\) + _1____ = 5

Answer: 4(7/8) + 1 = 5.

Explanation: In the above-given question, given that, complete the number sentences. 4(7/8) + 1. 8 x 4 = 32. 32 + 7 = 39. 39 + 1 = 40. 40/8 = 5.

b. 7\(\frac{2}{5}\) + __3___ = 8

Answer: 7(2/5) + 3 = 8.

Explanation: In the above-given question, given that, complete the number sentences. 7(2/5) + 3. 7 x 5 = 35. 35 + 2 = 37. 37 + 3 = 40. 40/5 = 8.

c. 3 = 2\(\frac{1}{6}\) + ___5___

Answer: 2(1/6) + 5 = 3.

Explanation: In the above-given question, given that, complete the number sentences. 2(1/6) + 5. 2 x 6 = 12. 12 + 1 = 13. 13 + 5 = 18. 18/6 = 3.

d. 12 = 11\(\frac{1}{12}\) + ___12___

Answer: 11(1/12) + 12 = 12.

Explanation: In the above-given question, given that, complete the number sentences. 11(1/12) + 12. 11 x 12 = 132. 132 + 12 = 144. 144/12 = 12.

Answer: 2(3/4) + (2/4) = 13/4.

Question 4. Solve. a. 4\(\frac{2}{3}\) + \(\frac{2}{3}\)

Answer: 4(2/3) + (2/3) = 16/3.

Explanation: In the above-given question, given that, Addition the fractions. 4(2/3) + (2/3). 3 x 4 = 12. 12 + 2/3 = 14/3. 14/3 + 2/3 = 16/3. 4(2/3) + (2/3) = 16/3.

b. 3\(\frac{3}{5}\) + \(\frac{4}{5}\)

Answer: 3(3/5) + (4/5) = 22/5.

Explanation: In the above-given question, given that, Addition the fractions. 3(3/5) + (4/5). 3 x 5 = 15. 15 + 3/5 = 18/5. 18/5 + 4/5 = 22/5. 3(3/5) + (4/5) = 22/5.

c. 5\(\frac{4}{6}\) + \(\frac{5}{6}\)

Answer: 5(4/6) + (5/6) = 39/6.

Explanation: In the above-given question, given that, Addition the fractions. 5(4/6) + (5/6). 5 x 6 = 30. 30 + 4/6 = 34/6. 34/6 + 5/6 = 39/6. 5(4/6) + (5/6) = 39/6.

d. \(\frac{7}{8}\) + 6\(\frac{4}{8}\)

Answer: 6(4/8) + (7/8) = 59/8.

Explanation: In the above-given question, given that, Addition the fractions. 6(4/8) + (7/8). 6 x 8 = 48. 48 + 4/8 = 52/8. 52/8 + 7/8 = 59/8. 6(4/8) + (7/8) = 59/8.

e. \(\frac{7}{10}\) + 7\(\frac{9}{10}\)

Answer: 7(9/10) + (7/10) = 86/10.

Explanation: In the above-given question, given that, Addition the fractions. 7(9/10) + (7/10). 7 x 10 = 70. 70 + 9/10 = 79/10. 79/10 + 7/10 = 86/10. 7(9/10) + (7/10) = 86/10.

f. 9\(\frac{7}{12}\) + \(\frac{11}{12}\)

Answer: 9(7/12) + (11/12) = 126/2.

Explanation: In the above-given question, given that, Addition the fractions. 9(7/12) + (11/12). 9 x 12 = 108. 108 + 7/12 = 115/12. 115/12 + 11/12 = 126/12. 9(7/12) + (11/12) = 126/2.

g. 2\(\frac{70}{100}\) + \(\frac{87}{100}\)

Answer: 2(70/100) + (87/100) = 357/100.

Explanation: In the above-given question, given that, Addition the fractions. 2(70/100) + (87/100). 100 x 2 = 200. 200 + 70/100 = 270/100. 270/100 + 87/100 = 357/100. 2(70/100) + (87/100) = 357/100.

h. \(\frac{50}{100}\) + 16\(\frac{78}{100}\)

Answer: 16(78/100) + (50/100) = 1728/100.

Explanation: In the above-given question, given that, Addition the fractions. 16(78/100) + (50/100). 100 x 16 = 1600. 1600 + 78/100 = 1678/100. 1678/100 + 50/4 = 1728/100. 16(78/100) + (50/100) = 1728/100.

Question 5. To solve 7\(\frac{9}{10}\) + \(\frac{5}{10}\), Maria thought, “7\(\frac{9}{10}\) + \(\frac{1}{10}\) = 8 and 8 + \(\frac{4}{10}\) = 8 \(\frac{4}{10}\) .” Paul thought, “7\(\frac{9}{10}\) + \(\frac{5}{10}\) = 7 \(\frac{14}{10}\) = 7 + \(\frac{10}{10}\) + \(\frac{4}{10}\) = 8\(\frac{4}{10}\)” Explain why Maria and Paul are both right.

Answer: Yes, Maria and Paul are right.

Explanation: In the above-given question, given that, Maria thought, 7\(\frac{9}{10}\) + \(\frac{1}{10}\) = 8. 8 + \(\frac{4}{10}\) = 8\(\frac{4}{10}\). 7(9/10) + 1/10. 70 + 9/10 + 1/10. 79 + 1/10 = 80/10 = 8. 8 + 4/10 = 84/10. 8 x 4/10 = 84/10.

Eureka Math Grade 4 Module 5 Lesson 30 Exit Ticket Answer Key

Solve. Question 1. 3\(\frac{2}{5}\) + __3__ = 4

Answer: 3(2/5) + 3 = 4.

Explanation: In the above-given question, given that, complete the number sentences. 3(2/5) + 3. 3 x 5 = 15. 15 + 2 = 17. 17 + 3 = 20. 20/5 = 4.

Question 2. 2\(\frac{3}{8}\) + \(\frac{7}{8}\)

Answer: 2(3/8) + 7/8 = 26/8.

Explanation: In the above-given question, given that, complete the number sentences. 2(3/8) + 7/8. 2 x 8 = 16. 16 + 3/8 = 19/8. 19/8 + 7/8 = 26/8. 2(3/8) + 7/8 = 26/8.

Eureka Math Grade 4 Module 5 Lesson 30 Homework Answer Key

Question 1. Solve. a. 4\(\frac{1}{3}\) + \(\frac{1}{3}\)

Answer: 4(1/3) + 1/3 = 14/3.

Explanation: In the above-given question, given that, complete the number sentences. 4(1/3) + 1/3. 4 x 3 = 12. 12 + 1/3 = 13/3. 13/3 + 1/3 = 14/3. 4(1/3) + 1/3 = 14/3.

b. 5\(\frac{1}{4}\) + \(\frac{2}{4}\)

Answer: 5(1/4) + 2/4 = 23/4.

Explanation: In the above-given question, given that, complete the number sentences. 5(1/4) + 2/4. 5 x 4 = 20. 20 + 1/4 = 21/4. 21/4 + 2/4 = 23/4. 5(1/4) + 2/4 = 23/4.

c. \(\frac{2}{6}\) + 3\(\frac{4}{6}\)

Answer: 3(4/6) + 2/6 = 29/8.

Explanation: In the above-given question, given that, complete the number sentences. 3(4/6) + 7/8. 3 x 6 = 18. 18 + 4/6 = 22/6. 22/6 + 7/8 = 29/8. 3(4/6) + 2/6 = 29/8.

d. \(\frac{5}{8}\) + 7\(\frac{3}{8}\)

Answer: 7(3/8) + 5/8 = 64/8.

Explanation: In the above-given question, given that, complete the number sentences. 7(3/8) + 5/8. 7 x 8 = 56. 56 + 3/8 = 59/8. 59/8 + 5/8 = 64/8. 7(3/8) + 5/8 = 64/8.

Question 2. Complete the number sentences. a. 3\(\frac{5}{6}\) + __1___ = 4

Answer: 3(5/6) + 1 = 4.

Explanation: In the above-given question, given that, complete the number sentences. 3(5/6) + 1. 3 x 6 = 18. 18 + 5/6 = 23/6. 1 + 23/6 = 24/6. 24/6 = 4.

b. 5\(\frac{3}{7}\) + ___4____ = 6

Answer: 5(3/7) + 4 = 6.

Explanation: In the above-given question, given that, complete the number sentences. 5(3/7) + 4. 5 x 7 = 35. 35 + 3/7 = 38/7. 38/7 + 4 = 42/7. 42/7 = 6.

c. 5 = 4\(\frac{1}{8}\) + __7____

Answer: 4(1/8) + 7 = 5.

Explanation: In the above-given question, given that, complete the number sentences. 4(1/8) + 7. 4 x 8 = 32. 32 + 1/8 = 33/8. 7 + 33/8 = 40/8. 40/8 = 5.

d. 15 = 14\(\frac{4}{12}\) + ___8___

Answer: 14(4/12) + 8 = 15.

Explanation: In the above-given question, given that, complete the number sentences. 14(4/12) + 8. 14 x 12 = 168. 168 + 4/12 = 172/12. 8 + 172/12 = 180/12. 180/12 = 15.

Question 3. Draw a number bond and the arrow way to show how to make one. Solve.

Question 4. Solve. a. 2\(\frac{3}{5}\) + \(\frac{3}{5}\)

Answer: 2(3/5) + 3/5 = 16/5.

Explanation: In the above-given question, given that, complete the number sentences. 2(3/5) + 3/5. 2 x 5 = 10. 10 + 3/5 = 13/5. 13/5 + 3/5 = 16/5. 2(3/5) + 3/5 = 16/5.

b. 3\(\frac{6}{8}\) + \(\frac{4}{8}\)

Answer: 3(6/8) + 4/8 = 34/8.

Explanation: In the above-given question, given that, complete the number sentences. 3(6/8) + 4/8. 3 x 8 = 24. 24 + 6/8 = 30/8. 30/8 + 4/8 = 34/8. 3(6/8) + 4/8 = 34/8.

c. 5\(\frac{4}{6}\) + \(\frac{3}{6}\)

Answer: 5(4/6) + 3/6 = 37/6.

Explanation: In the above-given question, given that, complete the number sentences. 5(4/6) + 3/6. 5 x 6 = 30. 30 + 4/6 = 34/6. 34/6 + 3/6 = 37/6. 5(4/6) + 3/6 = 37/6.

d. \(\frac{7}{10}\) + 6\(\frac{6}{10}\)

Answer: 6(6/10) + 7/10 = 74/10.

Explanation: In the above-given question, given that, complete the number sentences. 6(6/10) + 7/10. 6 x 10 = 60. 60 + 7/10 = 67/10. 67/10 + 7/10 = 74/10. 6(6/10) + 7/10 = 74/10.

e. \(\frac{5}{10}\) + 8\(\frac{9}{10}\)

Answer: 8(9/10) + 5/10 = 94/10.

Explanation: In the above-given question, given that, complete the number sentences. 8(9/10) + 5/10. 8 x 10 = 80. 80 + 9/10 = 89/10. 89/10 + 5/10 = 94/10. 8(9/10) + 5/10 = 94/10.

f. 7\(\frac{8}{12}\) + \(\frac{11}{12}\)

Answer: 7(8/12) + 11/12 = 103/12.

Explanation: In the above-given question, given that, complete the number sentences. 7(8/12) + 11/12. 7 x 12 = 84. 84 + 8/12 = 92/12. 92/12 + 11/12 = 103/12. 7(8/12) + 11/12 = 103/12.

g. 3\(\frac{90}{100}\) + \(\frac{58}{100}\)

Answer: 3(90/100) + 58/100 = 448/100.

Explanation: In the above-given question, given that, complete the number sentences. 3(90/100) + 2/4. 3 x 100 = 300. 300 + 90/100 = 390/100. 390/100 + 58/100 = 448/100. 3(90/100) + 58/100 = 448/100.

h. \(\frac{60}{100}\) + 14\(\frac{79}{100}\)

Answer: 14(79/100) + 60/100 = 1539/100.

Explanation: In the above-given question, given that, complete the number sentences. 14(79/100) + 60/100. 14 x 100 = 1400. 1400 + 60/100 = 1460/100. 1460/100 + 79/100 = 1539/100. 14(79/100) + 60/100 = 1539/100.

Question 5. To solve 4\(\frac{8}{10}\) + \(\frac{3}{10}\), Carmen thought, “”4\(\frac{8}{10}\) + \(\frac{2}{10}\) = 5, and 5 + \(\frac{1}{10}\) = 5 \(\frac{1}{10}\).” Benny thought, “”4\(\frac{8}{10}\) + \(\frac{3}{10}\) = 4\(\frac{11}{10}\) = 4 + \(\frac{10}{10}\) + \(\frac{1}{10}\) = 5\(\frac{1}{10}\).” Explain why Carmen and Benny are both right.

Answer: Carmen and Benny are right.

Explanation: In the above-given question, given that, 4(8/10) + 2/10 = 5. 4 x 10 = 40. 40 + 8/10 = 48/10. 48/10 + 2/10 = 50/10. 50/10 = 5.

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