Multiplying and Dividing Fractions Worksheet

Question 1

Find the product: 2/3 x 3/5.

Accepted Answer

The product is 2/5. Multiply the numerators to get 6 and the denominators to get 15, then simplify 6/15 to 2/5.

Question 2

Find the product: 4/7 x 5/8.

Accepted Answer

The product is 5/14. Multiply to get 20/56, then simplify by dividing the numerator and denominator by 4.

Question 3

Find the product: 3/4 x 2/9.

Accepted Answer

The product is 1/6. Multiply to get 6/36, then simplify the fraction to 1/6.

Question 4

Find the product: 5/6 x 3.

Accepted Answer

The product is 5/2, or 2 1/2. Write 3 as 3/1, multiply to get 15/6, and simplify to 5/2.

Question 5

Find the product: 1 1/2 x 2/3.

Accepted Answer

The product is 1. First change 1 1/2 to 3/2. Then multiply 3/2 by 2/3 to get 6/6, which equals 1.

Question 6

Find the product: 2 1/4 x 4/9.

Accepted Answer

The product is 1. Change 2 1/4 to 9/4, then multiply 9/4 by 4/9 to get 36/36, which equals 1.

Question 7

Find the quotient: 3/5 divided by 1/2.

Accepted Answer

The quotient is 6/5, or 1 1/5. Keep 3/5, change division to multiplication, and flip 1/2 to 2/1. Then multiply to get 6/5.

Question 8

Find the quotient: 7/8 divided by 1/4.

Accepted Answer

The quotient is 3 1/2. Rewrite the problem as 7/8 x 4/1, which equals 28/8. Simplify to 7/2, or 3 1/2.

Question 9

Find the quotient: 2/3 divided by 5/6.

Accepted Answer

The quotient is 4/5. Rewrite the problem as 2/3 x 6/5, which equals 12/15. Simplify 12/15 to 4/5.

Question 10

Find the quotient: 4 divided by 2/7.

Accepted Answer

The quotient is 14. Write 4 as 4/1, then multiply by the reciprocal of 2/7, which is 7/2. The result is 28/2, or 14.

Question 11

Find the quotient: 1 1/3 divided by 2/5.

Accepted Answer

The quotient is 3 1/3. Change 1 1/3 to 4/3, then multiply by the reciprocal of 2/5, which is 5/2. The result is 20/6, which simplifies to 10/3, or 3 1/3.

Question 12

A recipe uses 3/4 cup of sugar for one batch of cookies. You make 2 batches. How much sugar do you need in all?

Accepted Answer

You need 1 1/2 cups of sugar. Multiply 3/4 by 2 to get 6/4, which simplifies to 3/2, or 1 1/2.

Question 13

A ribbon is 5/6 yard long. It is cut into pieces that are each 1/6 yard long. How many pieces can be made?

Accepted Answer

You can make 5 pieces. Divide 5/6 by 1/6. This is the same as 5/6 x 6/1, which equals 5.

Question 14

A student walks 2/3 mile each day for 5 days. How many miles does the student walk in all?

Accepted Answer

The student walks 10/3 miles, or 3 1/3 miles, in all. Multiply 2/3 by 5 to get 10/3.

Question 15

A tank holds 3 1/2 liters of water. Small bottles each hold 1/2 liter. How many small bottles can be filled?

Accepted Answer

You can fill 7 small bottles. Change 3 1/2 to 7/2, then divide by 1/2. This is 7/2 x 2/1, which equals 7.

Multiplying and Dividing Fractions

Multiplying and Dividing Fractions

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