MULTIPLYING FRACTIONS WORD PROBLEMS WORKSHEET

Problem 1 :

A dime is 1/2 inch wide. If you put 5 dimes end to end, how long would they be from beginning to end?

Problem 2 :

You have 10 cookies and want to give 1/2 of them to a friend. How many do you give to your friend?

Problem 3 :

Sara plants 4 saplings in a row in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling.

Problem 4 :

Ronald reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2⅕ hours?

Problem 5 :

Laura reads a book for 1¾ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Problem 6 :

If milk is available at $17¾ per litter, find the cost of 7⅖ liters of milk.

Problem 7 :

Sharon can walk 8⅓ km in one hour. How much distance will she cover in 2⅖ hours?

Problem 8 :

A sugar bag contains 30 kg of sugar. After consuming bag 2/3 of it, how much sugar is left in the bag?

Problem 9 :

Each side of a square is 6⅔ m long. Find its area.

Problem 10 :

There are 45 students in a class and 3/5 of them are boys. How many girls are there in the class?

Answers

1. Answer :

Width of each dime = 1/2 inch.

Number of dimes at the end = 5.

Length of dime at the end :

= 5 ⋅ (1/2)

= 5/2

  = 2.5 inch

So, length of die at the end is 2.5 inch.

2. Answer :

Number of cookies i have = 10.

Number of cookies that i am going to give to my friend :

= 1/2 of 10

= 1/2 ⋅ 10

= 5 cookies

So, i will give 5 cookies to my friend.

3. Answer :

Number of cookies i have = 10.

Number of saplings in the garden = 4.

Distance between adjacent sapling = 3/4 m.

Distance between first and last sapling :

= 4 ⋅ (3/4)

= 12/4

= 3 m

So, the distance between the first and last sapling is 3 m.

4. Answer :

In 1 hour part of the book completed by Ronald = 1/3.

Distance covered in 2 hours,

 = 2⅕ ⋅ 1/3

= 11/5 ⋅ 1/3

= 11/15

So, distance covered in 2⅕ hours is 11/15 km.

5. Answer :

Time spent by Laura to read book = 1¾ hours.

Number of days taken by her to complete the entire book

= 6 days

Time taken by her to complete the book :

= 1¾ ⋅ 6

= 7/4 ⋅ 6

= 42/4

= 21/2

= 10½

So, he will take 10½ hours to complete the book.

6. Answer :

Cost of 1 of milk = $17¾.

Cost of 7⅖ liter of milk :

= (17¾) ⋅ (7⅖)

= 71/4 ⋅ 37/5

= 2627/20

Converting to mixed fraction, we get

= $131⁷⁄₂₀

7. Answer :

Distance covered by Sharon in one hour = 8⅓ km.

= 25/3

Distance covered in 2 2/5 hours :

= (2⅖) ⋅ (25/3)

= 12/5 ⋅ 25/3

= 300/15

= 20 km

So, distance covered in 2⅖ hours is 20 km.

8. Answer :

Quantity of sugar = 30 kg.

Quantity of consumed :

= 2/3 of 30

= 2/3 ⋅ 30

= 60/3

= 20 kg

Quantity of sugar left in the bag :

= 30 - 20

= 10 kg

9. Answer :

Side length of square :

= 6⅔

= 20/3 m

Area of square :

= a²

Substitute a = 20/3.

= (20/3)²

= (20/3)² ⋅ (20/3)

= 400/9

= 44⁴⁄₉ m²

10. Answer :

Number of students in the class = 45.

Number of boys ;

= 3/5 of 45

= 3/5 ⋅ 45

= 135/5

= 27

Number of girls :

= 45 - 27

= 18

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