Eureka Math Grade 5 Module 4 Lesson 14 Answer Key

Engage ny eureka math 5th grade module 4 lesson 14 answer key, eureka math grade 5 module 4 lesson 14 sprint answer key.

Eureka Math Grade 5 Module 4 Lesson 14 Sprint Answer Key 1

Question 1. \(\frac{1}{5}\) × 2 =

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

Explanation: The multiplication of \(\frac{1}{5}\) × 2 is \(\frac{2}{5}\).

Question 2. \(\frac{1}{5}\) × 3 =

Answer: \(\frac{3}{5}\)

Explanation: The multiplication of \(\frac{1}{5}\) × 3 is \(\frac{3}{5}\).

Question 3. \(\frac{1}{5}\) × 4 =

Answer: \(\frac{4}{5}\)

Explanation: The multiplication of \(\frac{1}{5}\) × 4 is \(\frac{4}{5}\).

Question 4. 4 × \(\frac{1}{5}\) =

Question 5. \(\frac{1}{8}\) × 3 =

Answer: \(\frac{3}{8}\)

Explanation: The multiplication of \(\frac{1}{8}\) × 3 is \(\frac{3}{8}\).

Question 6. \(\frac{1}{8}\) × 5 =

Answer: \(\frac{5}{8}\)

Explanation: The multiplication of \(\frac{1}{8}\) × 5 is \(\frac{5}{8}\).

Question 7. \(\frac{1}{8}\) × 7 =

Answer: \(\frac{7}{8}\)

Explanation: The multiplication of \(\frac{1}{8}\) × 7 is \(\frac{7}{8}\).

Question 8. 7 × \(\frac{1}{8}\) =

Question 9. 3 × \(\frac{1}{10}\) =

Answer: \(\frac{3}{10}\)

Explanation: The multiplication of \(\frac{1}{10}\) × 3 is \(\frac{3}{10}\).

Question 10. 7 × \(\frac{1}{10}\) =

Answer: \(\frac{7}{10}\)

Explanation: The multiplication of \(\frac{1}{10}\) × 7 is \(\frac{7}{10}\).

Question 11. \(\frac{1}{10}\) × 7 =

Question 12. 4 ÷ 2 =

Answer: 4 ÷ 2 = 2

Explanation: The division of 4 ÷ 2 is 2.

Question 13. 4 × \(\frac{1}{2}\) =

Answer: 4 × \(\frac{1}{2}\) = 2

Explanation: The multiplication of 4 × \(\frac{1}{2}\) is 2.

Question 14. 6 ÷ 3 =

Answer: 6 ÷ 3 = 2

Explanation: The division of 6 ÷ 3 is 2.

Question 15. \(\frac{1}{3}\) × 6 =

Answer: \(\frac{1}{3}\) × 6 = 2.

Explanation: The multiplication of \(\frac{1}{3}\) × 6 is 2.

Question 16. 10 ÷ 5 =

Answer: 10 ÷ 5 = 2.

Explanation: The division of 10 ÷ 5 is 2.

Question 17. 10 × \(\frac{1}{5}\) =

Answer: 10 × \(\frac{1}{5}\) = 2.

Explanation: The multiplication of 10 × \(\frac{1}{5}\) is 2.

Question 18. \(\frac{1}{3}\) × 9 =

Answer: \(\frac{1}{3}\) × 9 = 3.

Explanation: The multiplication of \(\frac{1}{3}\) × 9 is 3.

Question 19. \(\frac{2}{3}\) × 9 =

Answer: \(\frac{2}{3}\) × 9 = 6.

Explanation: The multiplication of \(\frac{2}{3}\) × 9 is 6.

Question 20. \(\frac{1}{4}\) × 8 =

Answer: \(\frac{1}{4}\) × 8 = 2.

Explanation: The multiplication of \(\frac{1}{4}\) × 8 is 2.

Question 21. \(\frac{3}{4}\) × 8 =

Answer: \(\frac{3}{4}\) × 8 = 6.

Explanation: The multiplication of \(\frac{3}{4}\) × 8 is 6.

Question 22. \(\frac{1}{6}\) × 12 =

Answer: \(\frac{1}{6}\) × 12 = 2.

Explanation: The multiplication of \(\frac{1}{6}\) × 12 is 2.

Question 23. \(\frac{5}{6}\) × 12 =

Answer: \(\frac{5}{6}\) × 12 = 10.

Explanation: The multiplication of \(\frac{5}{6}\) × 12 is 10.

Question 24. \(\frac{1}{3}\) × 15 =

Answer: \(\frac{1}{3}\) × 15 = 5.

Explanation: The multiplication of \(\frac{1}{3}\) × 15 is 5.

Question 25. \(\frac{2}{3}\) × 15 =

Answer: \(\frac{2}{3}\) × 15 = 10.

Explanation: The multiplication of \(\frac{2}{3}\) × 15 is 10.

Question 26. 15 × \(\frac{2}{3}\) =

Answer: 15 × \(\frac{2}{3}\) = 10.

Explanation: The multiplication of 15 × \(\frac{2}{3}\) is 10.

Question 27. \(\frac{1}{5}\) × 15 =

Answer: \(\frac{1}{5}\) × 15 = 3.

Explanation: The multiplication of \(\frac{1}{5}\) × 15 is 3.

Question 28. \(\frac{2}{5}\) × 15 =

Answer: \(\frac{2}{5}\) × 15 = 6.

Explanation: The multiplication of \(\frac{2}{5}\) × 15 is 6.

Question 29. \(\frac{4}{5}\) × 15 =

Question 30. \(\frac{3}{5}\) × 15 =

Answer: \(\frac{3}{5}\) × 15 = 9.

Explanation: The multiplication of \(\frac{3}{5}\) × 15 is 9.

Question 31. 15 × \(\frac{3}{5}\) =

Answer: 15 × \(\frac{3}{5}\) = 9.

Explanation: The multiplication of 15 × \(\frac{3}{5}\) is 9.

Question 32. 18 × \(\frac{1}{6}\) =

Answer: 18 × \(\frac{1}{6}\) = 3.

Explanation: The multiplication of 18 × \(\frac{1}{6}\) is 3.

Question 33. 18 × \(\frac{5}{6}\) =

Answer: 18 × \(\frac{5}{6}\) = 15.

Explanation: The multiplication of 18 × \(\frac{5}{6}\) is 15.

Question 34. \(\frac{5}{6}\) × 18 =

Answer: \(\frac{5}{6}\) × 18 = 15.

Explanation: The multiplication of \(\frac{5}{6}\) × 18 is 15.

Question 35. 24 × \(\frac{1}{4}\) =

Answer: 24 × \(\frac{1}{4}\) = 6.

Explanation: The multiplication of 24 × \(\frac{1}{4}\) is 6.

Question 36. \(\frac{3}{4}\) × 24 =

Answer: \(\frac{3}{4}\) × 24 = 18.

Explanation: The multiplication of \(\frac{3}{4}\) × 24 is 18.

Question 37. 32 × \(\frac{1}{8}\) =

Answer: 32 × \(\frac{1}{8}\) = 4.

Explanation: The multiplication of 32 × \(\frac{1}{8}\) is 4.

Question 38. 32 × \(\frac{3}{8}\) =

Answer: 32 × \(\frac{3}{8}\) = 12.

Explanation: The multiplication of 32 × \(\frac{3}{8}\) is 12.

Question 39. \(\frac{5}{8}\) × 32 =

Answer: \(\frac{5}{8}\) × 32= 20.

Explanation: The multiplication of \(\frac{5}{8}\) × 32 is 20.

Question 40. 32 × \(\frac{7}{8}\) =

Answer: 32 × \(\frac{7}{8}\)= 28.

Explanation: The multiplication of 32 × \(\frac{7}{8}\) is 28.

Question 41. \(\frac{5}{9}\) × 54 =

Answer: \(\frac{5}{9}\) × 54= 30.

Explanation: The multiplication of \(\frac{5}{9}\) × 54 is 30.

Question 42. 63 × \(\frac{7}{9}\) =

Answer: 63 × \(\frac{7}{9}\) = 49.

Explanation: The multiplication of 63 × \(\frac{7}{9}\) is 49.

Question 43. 56 × \(\frac{3}{7}\) =

Answer: 56 × \(\frac{3}{7}\) = 24.

Explanation: The multiplication of 56 × \(\frac{3}{7}\) is 24.

Question 44. \(\frac{6}{7}\) × 49 =

Answer: \(\frac{6}{7}\) × 49 = 42.

Explanation: The multiplication of \(\frac{6}{7}\) × 49 is 42.

Eureka Math Grade 5 Module 4 Lesson 14 Sprint Answer Key 3

Question 1. \(\frac{1}{7}\) × 2 =

Answer: \(\frac{1}{7}\) × 2 = \(\frac{2}{7}\).

Explanation: The multiplication of \(\frac{1}{7}\) × 2 is \(\frac{2}{7}\).

Question 2. \(\frac{1}{7}\) × 3 =

Answer: \(\frac{1}{7}\) × 3 = \(\frac{3}{7}\).

Explanation: The multiplication of \(\frac{1}{7}\) × 3 is \(\frac{3}{7}\).

Question 3. \(\frac{1}{7}\) × 4 =

Answer: \(\frac{1}{7}\) × 4 = \(\frac{4}{7}\).

Explanation: The multiplication of \(\frac{1}{7}\) × 4 is \(\frac{4}{7}\).

Question 4. 4 × \(\frac{1}{7}\) =

Answer: 4 × \(\frac{1}{7}\) = \(\frac{4}{7}\).

Explanation: The multiplication of 4 × \(\frac{1}{7}\) is \(\frac{4}{7}\).

Question 5. \(\frac{1}{10}\) × 3 =

Answer: \(\frac{1}{10}\) × 3 = \(\frac{3}{10}\).

Question 6. \(\frac{1}{10}\) × 7 =

Answer: \(\frac{1}{10}\) × 7 = \(\frac{7}{10}\).

Question 7. \(\frac{1}{10}\) × 9 =

Answer: \(\frac{1}{10}\) × 9 = \(\frac{9}{10}\).

Explanation: The multiplication of \(\frac{1}{10}\) × 9 is \(\frac{9}{10}\).

Question 8. 9 × \(\frac{1}{10}\) =

Answer: 9 × \(\frac{1}{10}\) = \(\frac{9}{10}\).

Explanation: The multiplication of 9 × \(\frac{1}{10}\) is \(\frac{9}{10}\).

Question 9. 3 × \(\frac{1}{8}\) =

Answer: 3 × \(\frac{1}{8}\) = \(\frac{3}{8}\).

Explanation: The multiplication of 3 × \(\frac{1}{8}\) is \(\frac{3}{8}\).

Question 10. 5 × \(\frac{1}{8}\) =

Answer: 5 × \(\frac{1}{8}\) = \(\frac{5}{8}\).

Explanation: The multiplication of 5 × \(\frac{1}{8}\) is \(\frac{5}{8}\).

Question 11. \(\frac{1}{8}\) × 5 =

Answer: \(\frac{1}{8}\) × 5 = \(\frac{5}{8}\).

Question 12. 10 ÷ 5 =

Answer: 10 ÷ 5 = 2

Question 13. 10 × \(\frac{1}{5}\) =

Question 14. 9 ÷ 3 =

Answer: 9 ÷ 3 = 3.

Explanation: The division of 9 ÷ 3 is 3.

Question 15. \(\frac{1}{3}\) × 9 =

Question 16. 10 ÷ 2 =

Answer: 10 ÷ 2 = 5.

Explanation: The division of 10 ÷ 2 is 5.

Question 17. 10 × \(\frac{1}{2}\) =

Answer: 10 × \(\frac{1}{2}\) = 5.

Explanation: The multiplication of 10 × \(\frac{1}{2}\) is 5.

Question 18. \(\frac{1}{3}\) × 6 =

Question 19. \(\frac{2}{3}\) × 6 =

Answer: \(\frac{2}{3}\) × 6 = 4.

Explanation: The multiplication of \(\frac{2}{3}\) × 6 is 4.

Question 20. \(\frac{1}{6}\) × 12 =

Question 21. \(\frac{5}{6}\) × 12 =

Question 22. \(\frac{1}{4}\) × 8 =

Question 23. \(\frac{3}{4}\) × 8 =

Question 24. \(\frac{1}{5}\) × 15 =

Question 25. \(\frac{2}{5}\) × 15 =

Question 26. \(\frac{4}{5}\) × 15 =

Answer: \(\frac{4}{5}\) × 15 = 12.

Explanation: The multiplication of \(\frac{4}{5}\) × 15 is 12.

Question 27. \(\frac{3}{5}\) × 15 =

Question 28. 15 × \(\frac{3}{5}\) =

Question 29. \(\frac{1}{3}\) × 15 =

Question 30. \(\frac{2}{3}\) × 15 =

Explanation: The multiplication of \(\frac{3}{5}\) × 15 is 10.

Question 31. 15 × \(\frac{2}{3}\) =

Question 32. 24 × \(\frac{1}{6}\) =

Answer: 24 × \(\frac{1}{6}\) = 4.

Explanation: The multiplication of 24 × \(\frac{1}{6}\) is 4.

Question 33. 24 × \(\frac{5}{6}\) =

Answer: 24 × \(\frac{5}{6}\) = 20.

Explanation: The multiplication of 24 × \(\frac{5}{6}\) is 20.

Question 34. \(\frac{5}{6}\) × 24 =

Answer: \(\frac{5}{6}\) × 24 = 20.

Explanation: The multiplication of \(\frac{5}{6}\) × 24 is 20.

Question 35. 20 × \(\frac{1}{4}\) =

Answer: 20 × \(\frac{1}{4}\) = 5.

Explanation: The multiplication of 20 × \(\frac{1}{4}\) is 5.

Question 36. \(\frac{3}{4}\) × 20 =

Answer: \(\frac{3}{4}\) × 20 = 15.

Explanation: The multiplication of \(\frac{3}{4}\) × 20 is 15.

Question 37. 24 × \(\frac{1}{8}\) =

Answer: 24 × \(\frac{1}{8}\) = 3.

Explanation: The multiplication of 24 × \(\frac{1}{8}\) is 3.

Question 38. 24 × \(\frac{3}{8}\) =

Answer: 24 × \(\frac{3}{8}\) = 9.

Explanation: The multiplication of 24 × \(\frac{3}{8}\) is 9.

Question 39. \(\frac{5}{8}\) × 24 =

Answer: \(\frac{5}{8}\) × 24 = 15.

Explanation: The multiplication of \(\frac{5}{8}\) is 24.

Question 40. 24 × \(\frac{7}{8}\) =

Answer: 24 × \(\frac{7}{8}\) = 21.

Explanation: The multiplication of 24 × \(\frac{7}{8}\) is 21.

Question 41. \(\frac{5}{9}\) × 63 =

Answer: \(\frac{5}{9}\) × 63 = 35.

Explanation: The multiplication of \(\frac{5}{9}\) × 63 is 35.

Question 42. 54 × \(\frac{7}{9}\) =

Answer: 54 × \(\frac{7}{9}\) = 42.

Explanation: The multiplication of 54 × \(\frac{7}{9}\) is 42.

Question 43. 49 × \(\frac{3}{7}\) =

Answer: 49 × \(\frac{3}{7}\) = 21.

Explanation: The multiplication of 49 × \(\frac{3}{7}\) is 21.

Question 44. \(\frac{6}{7}\) × 56 =

Answer: \(\frac{6}{7}\) × 56 = 48.

Explanation: The multiplication of \(\frac{6}{7}\) × 56 is 48.

Eureka Math Grade 5 Module 4 Lesson 14 Problem Set Answer Key

Eureka Math Grade 5 Module 4 Lesson 14 Problem Set Answer Key 20

Answer: 3, 1.

Explanation: Given that \(\frac{1}{3}\) of \(\frac{3}{4}\) = \(\frac{1}{4}\), so \(\frac{1}{3}\) of 3 fourth(s) = 1 fourth(s)

b. \(\frac{1}{2}\) of \(\frac{4}{5}\) = \(\frac{1}{2}\) of ____ fifth(s) = ____ fifth(s)

c. \(\frac{1}{2}\) of \(\frac{2}{2}\) =

d. \(\frac{2}{3}\) of \(\frac{1}{2}\) =

e. \(\frac{1}{2}\) × \(\frac{3}{5}\) =

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

Question 2. \(\frac{5}{8}\) of the songs on Harrison’s music player are hip-hop. \(\frac{1}{3}\) of the remaining songs are rhythm and blues. What fraction of all the songs are rhythm and blues? Use a tape diagram to solve.

Question 3. Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair. a. What fraction of all the students are girls with blond hair?

b. What fraction of all the students are boys without brown hair?

Question 4. Cody and Sam mowed the yard on Saturday. Dad told Cody to mow \(\frac{1}{4}\) of the yard. He told Sam to mow \(\frac{1}{3}\) of the remainder of the yard. Dad paid each of the boys an equal amount. Sam said, “Dad, that’s not fair! I had to mow one-third, and Cody only mowed one-fourth!” Explain to Sam the error in his thinking. Draw a picture to support your reasoning.

Eureka Math Grade 5 Module 4 Lesson 14 Exit Ticket Answer Key

Question 1. Solve. Draw a rectangular fraction model to explain your thinking. Then, write a number sentence. \(\frac{1}{3}\) of \(\frac{3}{7}\) =

Question 2. In a cookie jar, \(\frac{1}{4}\) of the cookies are chocolate chip, and \(\frac{1}{2}\) of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Eureka Math Grade 5 Module 4 Lesson 14 Homework Answer Key

Question 1. Solve. Draw a rectangular fraction model to explain your thinking. a. \(\frac{1}{2}\) of \(\frac{2}{3}\) = \(\frac{1}{2}\) of ____ third(s) = ____ third(s)

b. \(\frac{1}{2}\) of \(\frac{4}{3}\) = \(\frac{1}{2}\) of ____ third(s) = ____ third(s)

c. \(\frac{1}{3}\) of \(\frac{3}{5}\) =

d. \(\frac{1}{2}\) of \(\frac{6}{8}\) =

e. \(\frac{1}{3}\) × \(\frac{4}{5}\) =

f. \(\frac{4}{5}\) × \(\frac{1}{3}\) =

Question 2. Sarah has a photography blog. \(\frac{3}{7}\) of her photos are of nature. \(\frac{1}{4}\) of the rest are of her friends. What fraction of all of Sarah’s photos is of her friends? Support your answer with a model.

Question 3. At Laurita’s Bakery, \(\frac{3}{5}\) of the baked goods are pies, and the rest are cakes. \(\frac{1}{3}\) of the pies are coconut. 1/6 of the cakes are angel food. a. What fraction of all of the baked goods at Laurita’s Bakery are coconut pies?

b. What fraction of all of the baked goods at Laurita’s Bakery are angel food cakes?

Question 4. Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild \(\frac{1}{5}\) of the ice cream and his middle grandchild \(\frac{1}{4}\) of the remaining ice cream. Then, he gave his oldest grandchild \(\frac{1}{3}\) of the ice cream that was left after serving the others. a. Who got the most ice cream? How do you know? Draw a picture to support your reasoning.

b. What fraction of the pint of ice cream will be left if Grandpa Mick serves himself the same amount as the second grandchild?

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Eureka Math Grade 5 Module 5 Lesson 14 Answer Key

Engage ny eureka math 5th grade module 5 lesson 14 answer key, eureka math grade 5 module 5 lesson 14 problem set answer key.

Engage NY Math Grade 5 Module 5 Lesson 14 Problem Set Answer Key 1

Given, the measurements of the window = 3 1/2 feet by 4 1/2 feet

Area = length x width

A = 3 1/2 x 4 1/2

=  7/2 x 9/2

Number of windows = 2

So, 2 x 15 3/4

= 30 6/4 = 31 1/2 square feet

Area of the wall = 12 7/8 x 8

= 103 square feet

Area to paint = 103 – 31 1/2

= 71 1/2 square feet

Therefore, the area need to paint = 71 1/2 square feet.

Engage NY Math Grade 5 Module 5 Lesson 14 Problem Set Answer Key 2

Total number of full tiles = 10

Number of half tiles = 6 or 3 full tiles

Total = 10 + 3 = 13 tiles

Area of the tiles = 2 1/2 x 21/2

A =25/4 = 6 1/4 square inches

Now, 13 x 6 1/4 = 78 13/4

= 81 1/4 square inches

Therefore, the area of the figure = 81 1/4 square inches.

Engage NY Math Grade 5 Module 5 Lesson 14 Problem Set Answer Key 3

Area of the room A =

25 1/4 ft x 15 1/2 ft

= 25 1/4 x 15 1/2

= 101/4 x 31/2

= 391 3/8 square feet

Area of the room B =

19 x 18 1/2

= 351 1/2 square feet

Area of room C =

25 1/4 – 4 1/4

21 x 16 3/4

= 351 3/4 square feet

Total area of three rooms =

391 3/8 + 351 1/2 + 351 3/4

Therefore, 1094 5/8 square feet of carpet is needed to cover all the three rooms.

Question 4. Mr. Johnson needs to buy sod for his front lawn. a. If the lawn measures 36\(\frac{2}{3}\) ft by 45\(\frac{1}{6}\) ft, how many square feet of sod will he need? b. If sod is only sold in whole square feet, how much will Mr. Johnson have to pay? Sod Price

First 1,000 sq ft $0.27
Next 500 sq ft $0.22
Additional square feet $0.19

A= 36 2/3 x 45 1/6

= ( 36 x 45 ) + ( 36 x 1/6) +(45 x 2/3 ) + ( 2/3 x 1/6)

= 1620 + 6 +30 +1/9

= 1656 1/9 square feet

Therefore, he need 1656 1/9 square feet of sod.

According to given table,

1000 x $0.27 = $270.00

500 x $ 0.22 = $ 110.00

157 x $ 0.19 = $ 29.83

Total = $270 + $110 + $29.83 = $409.83

Therefore, he will have to pay $409.83

Question 5. Jennifer’s class decides to make a quilt. Each of the 24 students will make a quilt square that is 8 inches on each side. When they sew the quilt together, every edge of each quilt square will lose \(\frac{3}{4}\) of an inch. a. Draw one way the squares could be arranged to make a rectangular quilt. Then, find the perimeter of your arrangement. b. Find the area of the quilt. Answer:

module 4 lesson 14 homework grade 5

Perimeter =

= 8 x 13/2 = 52

= 3 x 13 /2 = 19 1/2

Perimeter = 52 + 52 + 19 1/2 + 19 1/2

= 143 inches

Therefore, perimeter of the arrangement = 143 inches’

The area of the quilt =

Each square area = 8 – 1 1/2

All the squares = 42 1/4 x 24

= 169/4 x 24

= 1014 square inches

Therefore, the area of the quilt = 1014 square inches

Eureka Math Grade 5 Module 5 Lesson 14 Exit Ticket Answer Key

Mr. Klimek made his wife a rectangular vegetable garden. The width is 5\(\frac{3}{4}\) ft, and the length is 9\(\frac{4}{5}\) ft. What is the area of the garden? Answer:

= 5 3/4 x 9 4/5

= ( 5 x 9 ) + ( 5 x 4/5 ) + ( 9 x 3/4 ) + ( 3/4 x 4/5 )

= 45 + 27/4 + 20/5 + 12/20

= 900 + 135 + 80 + 12/ 20

= 56 7/20 square feet

Therefore, the area of the garden = 56 7/20 square feet.

Eureka Math Grade 5 Module 5 Lesson 14 Homework Answer Key

Eureka Math Grade 5 Module 5 Lesson 14 Homework Answer Key 1

The measurement of menus = 6 feet wide by 7 1/2 feet tall

Area = 6 x 7 1/2

= ( 6 x 7 ) + ( 6 x 1/2 )

= 45 square feet

The number of menus = 4

Total = 4 x 45 = 180

Therefore, the total space for menus = 180 square feet.

The area of big board =

= 25 x 13 2/3

= ( 25 x 2/3 ) + ( 25 x 2/3 )

= 325 + 50/3

= 341 2/3 square feet

The area not covered = 341 2/3 – 180

= 161 2/3 square feet

Eureka Math Grade 5 Module 5 Lesson 14 Homework Answer Key 2

The number of full tiles = 12

The number of half tiles = 5

Total : 12 + 5 = 17

Given, the measurement each square = 4 1/4

Area = 4 1/4 x 4 1/4

= 18 1/16 square inches

17 x 18 1/16

= ( 17 x 18 ) + ( 17 x 1/16 )

= 306 + 17/16

= 306 + 1 1/16

Therefore, the total area of the figure = 307 1/16 square inches.

Question 3. A-Plus Glass is making windows for a new house that is being built. The box shows the list of sizes they must make. 15 windows 4\(\frac{3}{4}\) -ft long and 3\(\frac{3}{5}\)-ft wide 7 windows 2\(\frac{4}{5}\) -ft wide and 6\(\frac{1}{2}\) -ft long How many square feet of glass will they need? Answer:

The area of 15 windows =

4 3/4 x 3 3/5

= ( 4 x 3 ) + ( 4 x 3/5 ) + ( 3 x 3/4 ) + ( 3/4 x 3/5 )

= 12 + 12/5 + 9/4 + 9/20

= 16 + 8/20 + 5/20 +9/20

= 17 1/10 square feet

15 x 17 1/10

= 255 + 15/10

= 256 1/2 square feet.

The area of 7 windows =

2 4/5 x 6 1/2

= 18 1/5 square feet

17 1/10 + 18 1/5

= 35 + 1/10 + 2/10

Therefore, they will need 35 3/10 square feet of glass

Question 4. Mr. Johnson needs to buy seed for his backyard lawn. • If the lawn measures 40\(\frac{4}{5}\) ft by 50\(\frac{7}{8}\) ft, how many square feet of seed will he need to cover the entire area? • One bag of seed will cover 500 square feet if he sets his seed spreader to its highest setting and 300 square feet if he sets the spreader to its lowest setting. How many bags of seed will he need if he uses the highest setting? The lowest setting? Answer:

40 4/5 x 50 7/8

= ( 40 x 50 ) + ( 40 x 7/8) + ( 50 x 4/5) + ( 4/5 x 7/8)

= 200 +280/8 +200/5 + 28/40

=2075 7/10 square feet

Therefore, he will need 2075 7/10 square feet of seed.

For highest setting:

2075 7/10 square feet / 500 = 4 76/500

For lowest selling :

2075 7/10 / 300

= 6 276/300

Therefore, he need 5 bags for highest selling and 7 bags for the lowest selling.

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    module 4 lesson 14 homework grade 5

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    module 4 lesson 14 homework grade 5

  3. Eureka math grade 5 module 4 lesson 14 problem set

    module 4 lesson 14 homework grade 5

  4. Eureka Math Grade 5 Module 4 Lesson 14 Answer Key

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  5. Module 4 Lesson 14 Homework Help! 5th grade

    module 4 lesson 14 homework grade 5

  6. Eureka math grade 5 module 4 lesson 14 problem set

    module 4 lesson 14 homework grade 5

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  1. Eureka math grade 5 module 4 lesson 14 homework

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  2. Eureka Math Grade 5 Module 4 Lesson 14 Answer Key

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    Multiplication and Division of Fractions and Decimal Fractions. Eureka Essentials: Grade 5. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems.

  5. Eureka Math Grade 5 Module 4 Lesson 14 Answer Key

    Eureka Math Grade 5 Module 4 Lesson 14 Sprint Answer Key. Question 1. The multiplication of 15 × 2 is 25. Question 2. The multiplication of 15 × 3 is 35. Question 3. The multiplication of 15 × 4 is 45. Question 4. The multiplication of 15 × 4 is 45.

  6. Engage NY // Eureka Math Grade 5 Module 4 Lesson 14 Homework

    Engage NY // Eureka Math Grade 5 Module 4 Lesson 14 Homework. Engage NY // Eureka Math Grade 5 Module 4 Lesson 14 Homework.

  7. Course: G4M5: Fraction Equivalence, Ordering, and Operations

    Eureka Essentials: Grade 4. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems. Files for printing or for projecting on the screen.

  8. PDF Answer Key Eureka Math Grade 5 Module 4

    Module 4: n. f FractionsLesson 2Problem Se. a. Strip diagram drawn and la. b. Strip diagram drawn and la. a. 7 × 2 thirds = 14 thirds. b. 4 × 2 fourths = 8 fourths. c. 16 × 3 eighths = 48 eighths.

  9. PDF NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 Homework 4

    S CURRICULUM Lesson 14 Homework 4•4Name Date. 1. Draw triangles that fit. he following classifications. Use. ul. d protractor. Label the side lengths and angles. s. alene c. obtuse and isoscelesd. acute and scalene 2. raw all possible lines of symmetry in the triangles above. Expl. f the triangles do not have lines of symmetry. Le.

  10. Eureka Math Grade 5 Module 4 Lesson 14

    Eureka Math Grade 5 Module 4 Lesson 14 ‹ Eureka Math Grade 5 Module 4 Lesson 13 up Eureka Math Grade 5 Module 4 Lesson 15 ...

  11. Khan Academy

    Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501 (c) (3) nonprofit organization. Donate or volunteer today! About. News.

  12. Course: G5M5: Addition and Multiplication with Volume and Area

    Addition and Multiplication with Volume and Area. Eureka Essentials: Grade 5. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems.

  13. Eureka Math Grade 5 Module 4 Lesson 4 Answer Key

    Eureka Math Grade 5 Module 4 Lesson 4 Homework Answer Key. Question 1. Draw a tape diagram to solve. Express your answer as a fraction. Show the addition sentence to support your answer. The first one is done for you. a. 1 ÷ 4 = 14. b. 4 ÷ 5 =. Answer:

  14. Student Print Materials (K-5)

    Bundle options are available for all of our materials (print, digital, PD, etc.). Prices vary by grade and size of class set. Certain grade-levels do not include all packets due to the nature of the grade-level content. Student workbooks are available in class sets of 20, 25, and 30. Prices vary by size of class set.

  15. Eureka Math Homework Time Grade 4 Module 5 Lesson 14

    It's Homework Time! Help for fourth graders with Eureka Math Module 5 Lesson 14.

  16. Eureka Math Grade 4 Module 4 Lesson 14 Answer Key

    Eureka Math Grade 4 Module 4 Lesson 14 Homework Answer Key. Question 1. Draw triangles that fit the following classifications. Use a ruler and protractor. Label the side lengths and angles. a. Right and isosceles Answer: b. Right and scalene Answer: c. Obtuse and isosceles Answer: d. Acute and scalene Answer: Question 2.

  17. Eureka math grade 5 module 5 lesson 14 homework

    Solve for area of figures with mixed numbers using the distributive property and improper fractions

  18. EMBARC: All courses

    Courses. Grade 5. Eureka Math and EngageNY resource for 5th grade. Grade 5 General Resources. A 5th grade resource for teachers using Eureka Math and EngageNY. G5M1: Place Value and Decimal Fractions. A 5th grade resource for teachers using Eureka Math and EngageNY. G5M2: Multi-Digit Whole Number and Decimal Fraction Operations.

  19. Eureka Math Grade 4 Module 5 Lesson 14 Answer Key

    4/3 > 7/6. Eureka Math Grade 4 Module 5 Lesson 14 Homework Answer Key. Question 1. Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =. a. 1 third _____ 1 sixth. Answer: 1 third > 1 sixth. Explanation: In the above-given question, given that, compare the pairs of fractions by reasoning about the size of the ...

  20. Eureka Math Grade 4 Module 5 Lesson 14

    EngageNY/Eureka Math Grade 4 Module 5 Lesson 14For more videos, please visit http://bit.ly/eurekapusdPLEASE leave a message if a video has a technical diffic...

  21. Eureka Math Grade 5 Module 5 Lesson 14 Answer Key

    Eureka Math Grade 5 Module 5 Lesson 14 Problem Set Answer Key. Question 1. George decided to paint a wall with two windows. Both windows are 3 12 -ft by 4 12 -ft rectangles. Find the area the paint needs to cover. Given, the measurements of the window = 3 1/2 feet by 4 1/2 feet. Area = length x width. A = 3 1/2 x 4 1/2.

  22. Eureka Math Homework Time Grade 4 Module 5 Lesson 5

    It's Homework Time! Help for fourth graders with Eureka Math Module 5 Lesson 5.