eureka math grade 5 module 4 lesson 32 homework answers

Eureka Math Grade 5 Module 4 Lesson 12 Answer Key

Engage ny eureka math 5th grade module 4 lesson 12 answer key, eureka math grade 5 module 4 lesson 12 problem set answer key.

Question 1. A baseball team played 32 games and lost 8. Katy was the catcher in \(\frac{5}{8}\) of the winning games and \(\frac{1}{4}\) of the losing games. a. What fraction of the games did the team win?

b. In how many games did Katy play catcher?

Question 2. In Mrs. Elliott’s garden, \(\frac{1}{8}\) of the flowers are red, \(\frac{1}{4}\) of them are purple, and \(\frac{1}{5}\) of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?

Question 3. Lillian and Darlene plan to get their homework finished within one hour. Darlene completes her math homework in \(\frac{3}{5}\) hour. Lillian completes her math homework with \(\frac{5}{6}\) hour remaining. Who completes her homework faster, and by how many minutes?

Bonus: Give the answer as a fraction of an hour.

Question 4. Create and solve a story problem about a baker and some flour whose solution is given by the expression \(\frac{1}{4}\) × (3 + 5).

Question 6. Of the students in Mr. Smith’s fifth-grade class, \(\frac{1}{3}\) were absent on Monday. Of the students in Mrs. Jacobs’ class, \(\frac{2}{5}\) were absent on Monday. If there were 4 students absent in each class on Monday, how many students are in each class?

Eureka Math Grade 5 Module 4 Lesson 12 Exit Ticket Answer Key

In a classroom, \(\frac{1}{6}\) of the students are wearing blue shirts, and \(\frac{2}{3}\) are wearing white shirts. There are 36 students in the class. How many students are wearing a shirt other than blue or white?

Eureka Math Grade 5 Module 4 Lesson 12 Homework Answer Key

Question 1. Terrence finished a word search in \(\frac{3}{4}\) the time it took Frank. Charlotte finished the word search in \(\frac{2}{3}\) the time it took Terrence. Frank finished the word search in 32 minutes. How long did it take Charlotte to finish the word search?

Question 2. Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, \(\frac{2}{7}\) of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?

Question 3. In an auditorium, \(\frac{1}{6}\) of the students are fifth graders, \(\frac{1}{3}\) are fourth graders, and \(\frac{1}{4}\) of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?

Question 4. At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in \(\frac{3}{4}\) of a minute. Jacob finishes with \(\frac{5}{12}\) of a minute remaining. Who ran the race in the faster time?

Bonus: Express the difference in their times as a fraction of a minute.

Question 6. Create and solve a story problem about two friends and their weekly allowance whose solution is given by the expression \(\frac{1}{5}\) × (12 + 8).

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Eureka Math Grade 4 Module 5 Lesson 22 Answer Key

Engage ny eureka math 4th grade module 5 lesson 22 answer key, eureka math grade 4 module 5 lesson 22 sprint answer key.

Answer: 1 + 1 = 2, 1/5 + 1/5 = 2/5, 2 + 1 = 3, 2/5 + 1/5 = 3/5, 2 + 2 = 4, 2/5 + 2/5 = 4/5, 3 + 2 = 5, 3/5 + 2/5 = 5/5, 5/5 = 1, 3/5 + 2/5 = 5/5, 3 + 2 = 5, 3/8 + 2/8 = 5/8, 3 + 2 + 2 = 7, 3/8 + 2/8 + 2/8 = 7/8, 3/8 + 3/8 + 2/8 = 8/8, 8/8 = 1, 3/8 + 3/8 + 2/8 = 8/8, 2 + 1 + 1 = 4, 2/3 + 1/3 + 1/3 = 4/3, 2/3 + 1/3 + 1/3 = 4/3, 2 + 2 + 2 = 6, 2/5 + 2/5 + 2/5 = 5/5.

Answer: 2/5 + 2/5 + 2/5 = 6/5, 3 + 3 + 3 = 9, 3/8 + 3/8 + 3/8 = 9/8, 3/8 + 3/8 + 3/8 = 1(1/8), 5/8 + 5/8 + 5/8 = 15/8, 1 + 1 + 1 = 3, 1/2 + 1/2 + 1/2 = 3 halves, 1/2 + 1/2 + 1/2 = 3/2, 4 + 4 + 4 = 12, 4/10 + 4/10 + 4/10 = 12/10, 4/10 + 4/10 + 4/10 = 1(2/10), 6/10 + 6/10 + 6/10 = 18/10, 2 + 2 + 2 = 6, 2/6 + 2/6 + 2/6 = 4 sixths, 2/6 + 2/6 + 2/6 = 4 sixths, 3/6 + 3/6 + 3/6 = 1(3/6), 5/12 + 2/12 + 4/12 = 11/12, 4/12 + 4/12 + 4/12 = 12/12, 5/12 + 5/12 + 7/12 = 1(5/12), 7/12 + 9/12 + 7/12 = 23/12, 7/15 + 8/15 + 7/15 = 22/15, 12/15 + 8/15 + 9/15 = 29/15.

Question 1. 1 + 1 = 2.

Answer: 1 + 1 = 2.

Explanation: In the above-given question, given that, Add fractions. 1 + 1 = 2.

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

Answer: \(\frac{1}{5}\) + \(\frac{1}{5}\) = 2/5.

Explanation: In the above-given question, given that, \(\frac{1}{5}\) + \(\frac{1}{5}\). 1/5 + 1/5. 2/5.

Question 3. 2 + 1 = 3.

Answer: 2 + 1 = 3.

Explanation: In the above-given question, given that, Add fractions. 2 + 1 = 3.

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

Answer: \(\frac{2}{5}\) + \(\frac{1}{5}\) = 3/5.

Explanation: In the above-given question, given that, \(\frac{2}{5}\) + \(\frac{1}{5}\). 2/5 + 1/5. 3/5.

Question 5. 2 + 2 = 4.

Answer: 2 + 2 = 4.

Explanation: In the above-given question, given that, Add fractions. 2 + 2 = 4.

Question 6. \(\frac{2}{5}\) + \(\frac{2}{5}\) = 4/5.

Answer: \(\frac{2}{5}\) + \(\frac{2}{5}\) = 4/5.

Explanation: In the above-given question, given that, \(\frac{2}{5}\) + \(\frac{2}{5}\). 2/5 + 2/5. 4/5.

Question 7. 3 + 2 = 5.

Answer: 3 + 2 = 5.

Explanation: In the above-given question, given that, Add fractions. 3 + 2 = 5.

Question 8. \(\frac{3}{5}\) + \(\frac{2}{5}\) = 5 fifths

Answer: \(\frac{3}{5}\) + \(\frac{2}{5}\) = 5/5.

Explanation: In the above-given question, given that, \(\frac{3}{5}\) + \(\frac{2}{5}\). 3/5 + 2/5. 5 fifths.

Question 9. \(\frac{5}{5}\) =

Explanation: In the above-given question, given that, \(\frac{5}{5}\). 5/5 = 1.

Question 10. \(\frac{3}{5}\) + \(\frac{2}{5}\) = 5/5.

Explanation: In the above-given question, given that, \(\frac{3}{5}\) + \(\frac{2}{5}\). 3/5 + 2/5. 5/5.

Question 11. 3 + 2 =

Question 12. \(\frac{3}{8}\) + \(\frac{2}{8}\) = 5/8.

Answer: \(\frac{3}{8}\) + \(\frac{2}{8}\) = 5/8.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{2}{8}\). 3/8 + 2/8. 5/8.

Question 13. 3 + 2 + 2 = 7.

Answer: 3 + 2 + 2 = 7.

Explanation: In the above-given question, given that, Add fractions. 3 + 2 + 2 = 7.

Question 14. \(\frac{3}{8}\) + \(\frac{2}{8}\) + \(\frac{2}{8}\) = 7/8.

Answer: \(\frac{3}{8}\) + \(\frac{2}{8}\)  + \(\frac{2}{8}\) = 5/8.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{2}{8}\) + \(\frac{2}{8}\). 3 + 2 + 2 = 7. 3/8 + 2/8 + 2/8. 5/8 + 2/8. 7/8.

Question 15. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{2}{8}\) =  8 eighths

Answer: \(\frac{3}{8}\) + \(\frac{3}{8}\)  + \(\frac{2}{8}\) = 8/8.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{2}{8}\). 3 + 3 + 2 = 8. 3/8 + 3/8 + 2/8. 6/8 + 2/8. 8/8.

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

Explanation: In the above-given question, given that, \(\frac{8}{8}\) = 1. 8/8. 1.

Question 17. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{2}{8}\) = 1.

Answer: \(\frac{3}{8}\) + \(\frac{3}{8}\)  + \(\frac{2}{8}\) = 6/8.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{2}{8}\). 3 + 3 + 2 = 8. 3/8 + 3/8 + 2/8. 6/8 + 2/8. 8/8 = 1.

Question 18. 2 + 1 + 1 = 4.

Answer: 2 + 1 + 1 = 4.

Explanation: In the above-given question, given that, Add fractions. 2 + 1 + 1 = 4.

Question 19. \(\frac{2}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\) = 4 thirds.

Explanation: In the above-given question, given that, \(\frac{2}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\). 2 + 1 + 1 = 4. 2/3 + 1/3 + 1/3. 3/3 + 1/3. 4/3.

Question 20. \(\frac{2}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\) = 1\(\frac{4}{3}\)

Answer: \(\frac{2}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\).

Question 21. 2 + 2 + 2 = 6.

Answer: 2 + 2 + 2 = 6.

Explanation: In the above-given question, given that, Add fractions. 2 + 2 + 2 = 6.

Question 22. \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\) = 6 fifths

Answer: \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\).

Explanation: In the above-given question, given that, \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\). 2 + 2 + 2 = 6. 2/5 + 2/5 + 2/5. 4/5 + 2/5. 6/5.

Question 23. \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\) = 1\(\frac{6}{5}\)

Answer: \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\) = 6/5.

Explanation: In the above-given question, given that, \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\). 2 + 2 + 2 = 4. 2/5 + 2/5 + 2/5. 4/5 + 2/5. 6/5.

Question 24. 3 + 3 + 3 = 9.

Answer: 3 + 3 + 3 = 9.

Explanation: In the above-given question, given that, Add fractions. 3 + 3 + 3. 6 + 3. 9.

Question 25. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) =  9 eighths.

Answer: \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) = 6/5.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\). 3 + 3 + 3 = 9. 3/8 + 3/8 + 3/8. 6/8 + 3/8. 9/8.

Question 26. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) = 1\(\frac{1}{8}\)

Answer: \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) = 9/8.

Question 27. \(\frac{5}{8}\) + \(\frac{5}{8}\) + \(\frac{5}{8}\) = 1\(\frac{7}{8}\)

Answer: \(\frac{5}{8}\) + \(\frac{5}{8}\) + \(\frac{5}{8}\) = 1 \(\frac{7}{8}\)

Explanation: In the above-given question, given that, \(\frac{5}{8}\) + \(\frac{5}{8}\) + \(\frac{5}{8}\). 5 + 5 + 5 = 15. 5/8 + 5/8 + 5/8. 10/8 + 5/8. 15/8.

Question 28. 1 + 1 + 1 = 3.

Answer: 1 + 1 + 1 = 3.

Explanation: In the above-given question, given that, Add fractions. 1 + 1 + 1. 2 + 1. 3.

Question 29. \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) = 3 halves.

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

Explanation: In the above-given question, given that, \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\). 1 + 1 + 1 = 3. 1/2 + 1/2 + 1/2. 2/2 + 1/2. 3/2.

Question 30. \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) = 1\(\frac{1}{2}\)

Answer: \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) = 1(1/2).

Question 31. 4 + 4 + 4 = 12.

Answer: 4 + 4 + 4 = 12.

Explanation: In the above-given question, given that, Add fractions. 4 + 4 + 4. 8 + 4. 12.

Question 32. \(\frac{4}{10}\) + \(\frac{4}{10}\) + \(\frac{4}{10}\) = 12 tenths.

Answer: \(\frac{4}{10}\) + \(\frac{4}{10}\) + \(\frac{4}{10}\) = 1(2/10).

Explanation: In the above-given question, given that, \(\frac{4}{10}\) + \(\frac{4}{10}\) + \(\frac{4}{10}\). 4 + 4 + 4 = 12. 4/10 + 4/10 + 4/10. 8/10 + 4/10. 12/10.

Question 33. \(\frac{4}{10}\) + \(\frac{4}{10}\) + \(\frac{4}{10}\) = 1\(\frac{2}{10}\)

Question 34. \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\) = 1\(\frac{8}{10}\)

Answer: \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\) = 1(8/10).

Explanation: In the above-given question, given that, \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\). 6 + 6 + 6 = 18. 6/10 + 6/10 + 6/10. 12/10 + 6/10. 18/10.

Question 35. 2 + 2 + 2 = 6.

Explanation: In the above-given question, given that, Add fractions. 2 + 2 + 2. 4 + 2. 6.

Question 36. \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\) = 6 sixths

Answer: \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\) = 6 sixths.

Explanation: In the above-given question, given that, \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\). 2 + 2 + 2 = 6. 2/6 + 2/6 + 2/6. 4/6 + 2/6. 6/6.

Question 37. \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\) = 6/6.

Answer: \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\) = 6/6.

Question 38. \(\frac{3}{6}\) + \(\frac{3}{6}\) + \(\frac{3}{6}\) = 1\(\frac{3}{6}\)

Answer: \(\frac{3}{6}\) + \(\frac{3}{6}\) + \(\frac{3}{6}\) = 1\(\frac{3}{6}\)

Explanation: In the above-given question, given that, \(\frac{3}{6}\) + \(\frac{3}{6}\) + \(\frac{3}{6}\). 3 + 3 + 3 = 9. 3/6 + 3/6 + 3/6. 6/6 + 3/6. 9/6.

Question 39. \(\frac{5}{12}\) + \(\frac{2}{12}\) + \(\frac{4}{12}\) = 11/12.

Answer: \(\frac{5}{12}\) + \(\frac{2}{12}\) + \(\frac{4}{12}\) = 11/12.

Explanation: In the above-given question, given that, \(\frac{5}{12}\) + \(\frac{2}{12}\) + \(\frac{4}{12}\). 5 + 2 + 4 = 11. 5/12 + 2/12 + 4/12. 7/12 + 4/12. 11/12.

Question 40. \(\frac{4}{12}\) + \(\frac{4}{12}\) + \(\frac{4}{12}\) = 1.

Answer: \(\frac{4}{12}\) + \(\frac{4}{12}\) + \(\frac{4}{12}\) = 1.

Explanation: In the above-given question, given that, \(\frac{4}{12}\) + \(\frac{4}{12}\) + \(\frac{4}{12}\). 4 + 4 + 4 = 12. 4/12 + 4/12 + 4/12. 8/12 + 4/12. 12/12.

Question 41. \(\frac{5}{12}\) + \(\frac{5}{12}\) + \(\frac{5}{12}\) = 1\(\frac{3}{12}\)

Answer: \(\frac{5}{12}\) + \(\frac{5}{12}\) + \(\frac{5}{12}\) = 1(3/12).

Explanation: In the above-given question, given that, \(\frac{5}{12}\) + \(\frac{5}{12}\) + \(\frac{5}{12}\). 5 + 5 + 5 = 15. 5/12 + 5/12 + 5/12. 10/12 + 5/12. 15/12.

Question 42. \(\frac{7}{12}\) + \(\frac{9}{12}\) + \(\frac{7}{12}\) = 1\(\frac{23}{3}\)

Answer: \(\frac{7}{12}\) + \(\frac{9}{12}\) + \(\frac{7}{12}\) = 23/12.

Explanation: In the above-given question, given that, \(\frac{7}{12}\) + \(\frac{9}{12}\) + \(\frac{7}{12}\). 7 + 9 + 7 = 23. 7/12 + 9/12 + 7/12. 16/12 + 7/12. 23/12.

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

Answer: \(\frac{7}{15}\) + \(\frac{8}{15}\) + \(\frac{7}{15}\) = 1\(\frac{7}{15}\)

Explanation: In the above-given question, given that, \(\frac{7}{15}\) + \(\frac{8}{15}\) + \(\frac{7}{15}\). 7 + 8 + 7 = 22. 7/16 + 8/16 + 7/16. 15/16 + 7/16. 22/16.

Question 44. \(\frac{12}{15}\) + \(\frac{8}{15}\) + \(\frac{9}{15}\) = 1\(\frac{14}{15}\)

Answer: \(\frac{12}{15}\) + \(\frac{8}{15}\) + \(\frac{9}{15}\) = 1(14/15).

Explanation: In the above-given question, given that, \(\frac{12}{15}\) + \(\frac{8}{15}\) + \(\frac{9}{15}\). 12 + 8 + 9 = 29. 12/15 + 8/15 + 9/15. 20/15 + 9/15. 29/15.

Answer: 1 + 1 = 2, 1/6 + 1/6 = 2/6, 3 + 1 = 4, 3/6 + 1/6 = 4/6, 3 + 2 = 5, 3/6 + 2/6 = 5/6, 4 + 2 = 6, 4/6 + 2/6 = 1, 5 + 2 = 7, 5/8 + 2/8 = 7/8, 5 + 1 + 1 = 7, 5/8 + 1/8 + 1/8 = 7/8, 5/8 + 2/8 + 1/8 = 8 eights, 8/8 = 1, 3/8 + 3/8 + 2/8 = 8/8, 1 + 1 + 2 = 4, 1/3 + 1/3 + 1/3 = 3 thirds, 1/3 + 1/3 + 2/3 = 4/3, 3 + 3 + 3 = 9, 3/8 + 3/8 + 3/8 = 9 eights.

Answer:2 3/8 + 3/8 + 3/8 = 9/8, 1 + 1 + 1 = 3, 1/2 + 1/2 + 1/2 = 3/2, 1/2 + 1/2 + 1/2 = 3/2, 2 + 2 + 2 = 6, 2/5 + 2/5 + 2/5 = 6/5, 2/5 + 2/5 + 2/5 = 6/5, 3/5 + 3/5 + 3/5 = 9/5, 6 + 6 + 6 = 18, 6/10 + 6/10 + 6/10 = 18/10, 6/10 + 6/10 + 6/10 = 18/10, 5/10 + 5/10 + 5/10 = 15/10, 2 + 2 + 2 = 6, 2/6 + 2/6 + 2/6 = 6/6, 2/6 + 2/6 + 2/6 = 6/6, 3/6 + 3/6 + 3/6 = 9/6, 5/12 + 3/12 + 3/12 = 11/12, 5/12 + 3/12 + 3/12 = 11/12, 6 /12 + 5/12 + 6/12 = 17/12, 8/12 + 10/12 + 5/12 = 23/12, 7/15 + 7/15 + 8/15 = 22/15, 13/15 + 9/15 + 7/15 = 29/15.

Explanation: In the above-given question, given that, Add fractions. 1 + 1. 1 + 1. 2.

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

Answer: \(\frac{1}{6}\) + \(\frac{1}{6}\) = 2/6.

Explanation: In the above-given question, given that, \(\frac{1}{6}\) + \(\frac{1}{6}\). 1/6 + 1/6. 2 sixths.

Question 3. 3 + 1 = 4.

Answer: 3 + 1 = 4.

Explanation: In the above-given question, given that, Add fractions. 3 + 1. 4.

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

Answer: \(\frac{3}{6}\) + \(\frac{1}{6}\) = 4/6.

Explanation: In the above-given question, given that, \(\frac{3}{6}\) + \(\frac{1}{6}\). 3/6 + 1/6. 4 sixths.

Question 5. 3 + 2 = 5.

Explanation: In the above-given question, given that, Add fractions. 3 + 2. 5.

Question 6. \(\frac{3}{6}\) + \(\frac{2}{6}\) = 5/6.

Answer: \(\frac{3}{6}\) + \(\frac{2}{6}\) = 5/6.

Explanation: In the above-given question, given that, \(\frac{3}{6}\) + \(\frac{2}{6}\). 3/6 + 2/6. 5 sixths.

Question 7. 4 + 2 = 6.

Answer: 4 + 2 = 6.

Explanation: In the above-given question, given that, Add fractions. 4 + 2. 6.

Question 8. \(\frac{4}{6}\) + \(\frac{2}{6}\) = 6 sixths.

Answer: \(\frac{4}{6}\) + \(\frac{2}{6}\) = 6/6.

Explanation: In the above-given question, given that, \(\frac{4}{6}\) + \(\frac{2}{6}\). 4/6 + 2/6. 6 sixths.

Question 9. \(\frac{6}{6}\) = 1.

Answer: \(\frac{6}{6}\).

Explanation: In the above-given question, given that, \(\frac{6}{6}\). 6/6. 6 sixths.

Question 10. \(\frac{4}{6}\) + \(\frac{2}{6}\) = 6/6.

Question 11. 5 + 2 = 7.

Answer: 5 + 2 = 7.

Explanation: In the above-given question, given that, Add fractions. 5 + 2. 7.

Question 12. \(\frac{5}{8}\) + \(\frac{2}{8}\) = 7/8.

Answer: \(\frac{5}{8}\) + \(\frac{2}{8}\) = 7/8.

Explanation: In the above-given question, given that, \(\frac{5}{8}\) + \(\frac{2}{8}\). 5/8 + 2/8. 5 + 2 = 7. 7 eights.

Question 13. 5 + 1 + 1 = 7.

Question 14. \(\frac{5}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\) = 7/8.

Answer: \(\frac{5}{8}\) + \(\frac{1}{8}\)  + \(\frac{1}{8}\) = 7/8.

Explanation: In the above-given question, given that, \(\frac{5}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\). 5/8 + 1/8 + 1/8. 5 + 2 = 7. 7/8.

Question 15. \(\frac{5}{8}\) + \(\frac{2}{8}\) + \(\frac{1}{8}\) = 8 eighths

Answer: \(\frac{5}{8}\) + \(\frac{2}{8}\)  + \(\frac{1}{8}\) = 8/8.

Explanation: In the above-given question, given that, \(\frac{5}{8}\) + \(\frac{2}{8}\) + \(\frac{1}{8}\). 5/8 + 2/8 + 1/8. 5 + 2  + 1 = 8. 8/8.

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

Answer: \(\frac{8}{8}\).

Explanation: In the above-given question, given that, \(\frac{8}{8}\). 8/8. 1.

Question 17. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{2}{8}\) = 8 eights.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{2}{8}\). 3/8 + 3/8 + 2/8. 3 + 3  + 2 = 8. 8/8.

Question 18. 1 + 1 + 2 = 4.

Answer: 1 + 1 + 2 = 4.

Explanation: In the above-given question, given that, Add fractions. 1 + 1 + 2. 4.

Question 19. \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{2}{3}\) = 4 thirds.

Answer: \(\frac{1}{3}\) + \(\frac{1}{3}\)  + \(\frac{2}{3}\) = 4/3.

Explanation: In the above-given question, given that, \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{2}{3}\). 1/3 + 1/3 + 2/3. 1 + 1  + 2 = 4. 4/3.

Question 20. \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{2}{3}\) = 1\(\frac{1}{3}\)

Question 21. 3 + 3 + 3 = 9.

Explanation: In the above-given question, given that, Add fractions. 3 + 3 + 3. 9.

Question 22. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) = 9 eighths.

Answer: \(\frac{3}{8}\) + \(\frac{3}{8}\)  + \(\frac{3}{8}\) = 9/8.

Explanation: In the above-given question, given that, \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\). 3/8 + 3/8 + 3/8. 3 + 3  + 3 = 9. 9/8.

Question 23. \(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) = 1\(\frac{1}{8}\)

Question 24. 1 + 1 + 1 = 3.

Explanation: In the above-given question, given that, Add fractions. 1 + 1 + 1. 3.

Question 25. \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) = 3 halves

Answer: \(\frac{1}{2}\) + \(\frac{1}{2}\)  + \(\frac{1}{2}\) = 3/2.

Explanation: In the above-given question, given that, \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\). 1/2 + 1/2 + 1/2. 1 + 1  + 1 = 3. 3/2.

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

Question 27. 2 + 2 + 2 = 6.

Question 28. \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\) =6  fifths.

Answer: \(\frac{2}{5}\) + \(\frac{2}{5}\)  + \(\frac{2}{5}\) = 6/5.

Explanation: In the above-given question, given that, \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\). 2/5 + 2/5 + 2/5. 2 + 2  + 2 = 6. 6/5.

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

Question 30. \(\frac{3}{5}\) + \(\frac{3}{5}\) + \(\frac{3}{5}\) = 1\(\frac{4}{5}\)

Answer: \(\frac{3}{5}\) + \(\frac{3}{5}\)  + \(\frac{3}{5}\) = 9/5.

Explanation: In the above-given question, given that, \(\frac{3}{5}\) + \(\frac{3}{5}\) + \(\frac{3}{5}\). 3/5 + 3/5 + 3/5. 3 + 3  + 3 = 9. 9/5.

Question 31. 6 + 6 + 6 = 18.

Answer: 6 + 6 + 6 = 18.

Explanation: In the above-given question, given that, Add fractions. 6 + 6 + 6. 12 + 6. 18.

Question 32. \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\) = 18 tenths

Answer: \(\frac{6}{10}\) + \(\frac{6}{10}\)  + \(\frac{6}{10}\) = 18/10.

Explanation: In the above-given question, given that, \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\). 6/10 + 6/10 + 6/10. 6 + 6  + 6 = 18. 18/10.

Question 33. \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\) = 1\(\frac{8}{10}\)

Question 34. \(\frac{5}{10}\) + \(\frac{5}{10}\) + \(\frac{5}{10}\) = 1\(\frac{5}{10}\)

Answer: \(\frac{5}{10}\) + \(\frac{5}{10}\)  + \(\frac{5}{10}\) = 15/10.

Explanation: In the above-given question, given that, \(\frac{5}{10}\) + \(\frac{5}{10}\) + \(\frac{5}{10}\). 5/10 + 5/10 + 5/10. 5 + 5  + 5 = 15. 15/10.

Question 36. \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\) = 6 sixths.

Answer: \(\frac{2}{6}\) + \(\frac{2}{6}\)  + \(\frac{2}{6}\) = 6/6.

Explanation: In the above-given question, given that, \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\). 2/6 + 2/6 + 2/6. 2 + 2  + 2 = 6. 6/6.

Answer: \(\frac{3}{6}\) + \(\frac{3}{6}\)  + \(\frac{3}{6}\) = 9/6.

Explanation: In the above-given question, given that, \(\frac{3}{6}\) + \(\frac{3}{6}\) + \(\frac{3}{6}\). 3/6 + 3/6 + 3/6. 3 + 3  + 3 = 9. 9/6.

Question 39. \(\frac{5}{12}\) + \(\frac{3}{12}\) + \(\frac{3}{12}\) = 15/12.

Answer: \(\frac{5}{12}\) + \(\frac{5}{12}\)  + \(\frac{5}{12}\) = 15/12.

Explanation: In the above-given question, given that, \(\frac{5}{12}\) + \(\frac{5}{12}\) + \(\frac{5}{12}\). 5/12 + 5/12 + 5/12. 5 + 5  + 5 = 15. 15/12.

Question 32. \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\) = 18/10.

Question 33. \(\frac{6}{10}\) + \(\frac{6}{10}\) + \(\frac{6}{10}\) = 18/10.

Question 34. \(\frac{5}{10}\) + \(\frac{5}{10}\) + \(\frac{5}{10}\) = 15/10.

Question 35. 2 + 2 + 2 = 6

Question 36. \(\frac{2}{6}\) + \(\frac{2}{6}\) + \(\frac{2}{6}\) = 6/6.

Question 38. \(\frac{3}{6}\) + \(\frac{3}{6}\) + \(\frac{3}{6}\) = 9/6.

Question 39. \(\frac{5}{12}\) + \(\frac{3}{12}\) + \(\frac{3}{12}\) = 9/12.

Answer: \(\frac{5}{12}\) + \(\frac{3}{12}\)  + \(\frac{3}{12}\) = 11/12.

Explanation: In the above-given question, given that, \(\frac{5}{12}\) + \(\frac{3}{12}\) + \(\frac{3}{12}\). 5/12 + 3/12 + 3/12. 5 + 3  + 3 = 11. 11/12.

Question 40. \(\frac{5}{12}\) + \(\frac{5}{12}\) + \(\frac{5}{12}\) = 11/12.

Question 41. \(\frac{6}{12}\) + \(\frac{5}{12}\) + \(\frac{6}{12}\) = 1\(\frac{5}{12}\)

Answer: \(\frac{6}{12}\) + \(\frac{5}{12}\)  + \(\frac{6}{12}\) = 17/12.

Explanation: In the above-given question, given that, \(\frac{6}{12}\) + \(\frac{5}{12}\) + \(\frac{6}{12}\). 6/12 + 5/12 + 6/12. 6 + 5  + 6 = 17. 17/12.

Question 42. \(\frac{8}{12}\) + \(\frac{10}{12}\) + \(\frac{5}{12}\) = 1\(\frac{11}{12}\)

Answer: \(\frac{8}{12}\) + \(\frac{10}{12}\)  + \(\frac{5}{12}\) = 23/12.

Explanation: In the above-given question, given that, \(\frac{8}{12}\) + \(\frac{10}{12}\) + \(\frac{5}{12}\). 8/12 + 10/12 + 5/12. 8 + 10  + 5 = 23. 23/12.

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

Answer: \(\frac{7}{15}\) + \(\frac{7}{15}\)  + \(\frac{8}{15}\) = 22/15.

Explanation: In the above-given question, given that, \(\frac{7}{15}\) + \(\frac{7}{15}\) + \(\frac{8}{15}\). 7/15 + 7/15 + 8/15. 7 + 7  + 8 = 22. 22/15.

Question 44. \(\frac{13}{15}\) + \(\frac{9}{15}\) + \(\frac{7}{15}\) = 1\(\frac{9}{15}\)

Answer: \(\frac{13}{15}\) + \(\frac{9}{15}\)  + \(\frac{7}{15}\) = 29/15.

Explanation: In the above-given question, given that, \(\frac{13}{15}\) + \(\frac{9}{15}\) + \(\frac{7}{15}\). 13/15 + 9/15 + 7/15. 13 + 9  + 7 = 29. 29/15.

Eureka Math Grade 4 Module 5 Lesson 22 Problem Set Answer Key

Question 1. Draw a tape diagram to match each number sentence. Then, complete the number sentence. a. 3 + \(\frac{1}{3}\) = ____3.33________

Answer: 3 + \(\frac{1}{3}\).

Explanation: In the above-given question, given that, 3 + \(\frac{1}{3}\). 3 + 0.33. 3.33.

b. 4 + \(\frac{3}{4}\) = ___4.75_____

Answer: 4 + \(\frac{3}{4}\).

Explanation: In the above-given question, given that, 4 + \(\frac{3}{4}\). 4 + 0.75. 4.75.

c. 3 – \(\frac{13}{15}\)= ___2.14___________

Answer: 3 – \(\frac{13}{15}\).

Explanation: In the above-given question, given that, 3 – \(\frac{13}{15}\). 3 – 0.86. 2.14.

d. 5 – \(\frac{2}{5}\) = _____4.6_________

Answer: 5 – \(\frac{2}{5}\).

Explanation: In the above-given question, given that, 5 – \(\frac{2}{5}\). 5 – 0.4. 4.6.

Question 2. Use the following three numbers to write two subtraction and two addition number sentences. a. 6, 6\(\frac{3}{8}\), \(\frac{3}{8}\)

Answer: Addition sentence = 7, 8, 51/8, 52/8, 4/8, 5/8. Subtraction sentence = 5, 4, 50/8, 49/8, 3/8, 2/8.

Explanation: In the above-given question, given that, write two subtraction and two addition sentences. 6, 6\(\frac{3}{8}\), \(\frac{3}{8}\) Addition sentence = 7, 8, 51/8, 52/8, 4/8, 5/8. Subtraction sentence = 5, 4, 50/8, 49/8, 3/8, 2/8.

b. \(\frac{4}{7}\), 9, 8\(\frac{3}{7}\)

Answer: Addition sentence = 10, 11, 5/7, 6/7, 60/7, 61/7. Subtraction sentence = 8, 7, 3/7, 2/7, 55/7, 54/7.

Explanation: In the above-given question, given that, write two subtraction and two addition sentences. \(\frac{4}{7}\), 9, 8\(\frac{3}{7}\) Addition sentence = 10, 11, 5/7, 6/7, 60/7, 61/7. Subtraction sentence = 8, 7, 3/7, 2/7, 55/7, 54/7.

b. 5 – \(\frac{2}{3}\) = ___4.34_____

Answer: 5 – \(\frac{2}{3}\).

Explanation: In the above-given question, given that, 5 – \(\frac{2}{3}\). 5 – 0.66. 4.34.

c. 7 – \(\frac{3}{8}\) = __6.625_____

Answer: 7 – \(\frac{3}{8}\).

Explanation: In the above-given question, given that, 7 – \(\frac{3}{8}\). 7 – 0.375. 6.625.

d. 10 – \(\frac{4}{10}\) = _9.6__

Answer: 10 – \(\frac{4}{10}\).

Explanation: In the above-given question, given that, 10 – \(\frac{4}{10}\). 10 – 0.4. 9.6.

Question 4. Complete the subtraction sentences using number bonds. a. 3 – \(\frac{1}{10}\) = ___2.9_____

Answer: 3 – \(\frac{1}{10}\).

Explanation: In the above-given question, given that, 3 – \(\frac{1}{10}\). 3 – 0.1. 2.9.

b. 5 – \(\frac{3}{4}\) = ___4.25_____

Answer: 5 – \(\frac{3}{4}\).

Explanation: In the above-given question, given that, 5 – \(\frac{3}{4}\). 5 – 0.75. 4.25.

c. 6 – \(\frac{5}{8}\) = _5.375__

Answer: 6 – \(\frac{5}{8}\).

Explanation: In the above-given question, given that, 6 – \(\frac{5}{8}\). 6 – 0.625 5.375.

d. 7 – \(\frac{3}{9}\) = __6.67__

Answer: 7 – \(\frac{3}{9}\).

Explanation: In the above-given question, given that, 7 – \(\frac{3}{9}\). 7 – 0.33. 6.67.

Eureka Math Grade 4 Module 5 Lesson 22 Exit Ticket Answer Key

Complete the subtraction sentences using number bonds. Draw a model if needed.

Question 1. 6 – \(\frac{1}{5}\) = __4.8______

Answer: 6 – \(\frac{1}{5}\).

Explanation: In the above-given question, given that, 6 – \(\frac{1}{5}\). 5 – 0.2. 4.8.

Question 2. 8 – \(\frac{5}{6}\) = _7.17_______

Answer: 8 – \(\frac{5}{6}\).

Explanation: In the above-given question, given that, 8 – \(\frac{5}{6}\). 8 – 0.83. 7.17.

Question 3. 7 – \(\frac{5}{8}\) = __6.375_____

Answer: 7 – \(\frac{5}{8}\).

Explanation: In the above-given question, given that, 7 – \(\frac{5}{8}\). 7 – 0.625. 6.375.

Eureka Math Grade 4 Module 5 Lesson 22 Homework Answer Key

Question 1. Draw a tape diagram to match each number sentence. Then, complete the number sentence. a. 2 + \(\frac{1}{4}\) = ___2.25_________

Answer: 2 + \(\frac{1}{4}\).

Explanation: In the above-given question, given that, 2 + \(\frac{1}{4}\). 2 + 0.25. 2.25.

b. 3 + \(\frac{2}{3}\) = ___3.6___________

Answer: 3 + \(\frac{2}{3}\).

Explanation: In the above-given question, given that, 3 + \(\frac{2}{3}\). 3 + 0.6. 3.6.

c. 2 – \(\frac{1}{5}\) = ___1.8_____________

Answer: 2 – \(\frac{1}{5}\).

Explanation: In the above-given question, given that, 2 – \(\frac{1}{5}\). 2 – 0.2. 1.8.

d. 3 – \(\frac{3}{4}\) = ___2.25_________

Answer: 3 – \(\frac{3}{4}\).

Explanation: In the above-given question, given that, 3 – \(\frac{3}{4}\). 3 – 0.75. 2.25.

Question 2. Use the following three numbers to write two subtraction and two addition number sentences. a. 4, 4\(\frac{5}{8}\), \(\frac{5}{8}\)

Answer: Addition sentence = 5, 6,38/8, 39/8, 6/8, 7/8. Subtraction sentence = 3, 2, 44/8, 43/8, 4/8, 3/8.

Explanation: In the above-given question, given that, write two subtraction and two addition sentences. 4, 4\(\frac{5}{8}\), \(\frac{5}{8}\) Addition sentence = 5, 6,38/8, 39/8, 6/8, 7/8. Subtraction sentence = 3, 2, 44/8, 43/8, 4/8, 3/8.

b. \(\frac{2}{7}\), 5\(\frac{5}{7}\), 6

Answer: Addition sentence = 7, 8, 3/7, 4/7, 41/7, 42/7. Subtraction sentence = 5, 4, 1/7, 0/7, 39/7, 38/7.

Explanation: In the above-given question, given that, write two subtraction and two addition sentences. \(\frac{2}{7}\), 5\(\frac{5}{7}\), 6 Addition sentence = 7, 8, 3/7, 4/7, 41/7, 42/7. Subtraction sentence = 5, 4, 1/7, 0/7, 39/7, 38/7.

Question 3. Solve using a number bond. Draw a number line to represent each number sentence. The first one has been done for you.

b. 8 – \(\frac{5}{6}\) = ___

Explanation: In the above-given question, given that, 8 – \(\frac{5}{6}\). 8 – 0.8. 7.2.

Question 4. Complete the subtraction sentences using number bonds.

a. 6 – \(\frac{1}{4}\) = _5.75_______

Answer: 6 – \(\frac{1}{4}\).

Explanation: In the above-given question, given that, 6 – \(\frac{1}{4}\). 6 – 0.25. 5.75.

b. 7 – \(\frac{2}{10}\) = ___6.8_____

Answer: 7 – \(\frac{2}{10}\).

Explanation: In the above-given question, given that, 7 – \(\frac{2}{10}\). 7 – 0.2. 6.8.

c. 5 – \(\frac{5}{6}\) = _4.17____

Answer: 5 – \(\frac{5}{6}\).

Explanation: In the above-given question, given that, 5 – \(\frac{5}{6}\). 5 – 0.83. 4.17.

d. 6 – \(\frac{6}{8}\) = _5.25_____

Answer: 6 – \(\frac{6}{8}\).

Explanation: In the above-given question, given that, 6 – \(\frac{6}{8}\). 6 – 0.75. 5.25.

e. 3 – \(\frac{7}{8}\) = _2.125_____

Answer: 3 – \(\frac{7}{8}\).

Explanation: In the above-given question, given that, 3 – \(\frac{7}{8}\). 3 – 0.875. 2.125.

f. 26 – \(\frac{7}{10}\) = _25.3_____

Answer: 26 – \(\frac{7}{10}\).

Explanation: In the above-given question, given that, 26 – \(\frac{7}{10}\). 26 – 7/10. 26 – 0.7. 25.3.

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