DIVIDING FRACTION BY WHOLE NUMBER WORKSHEET

Dividing Fraction by Whole Number Worksheet : 

Worksheet given in this section will be much useful for the students who would like to practice problems on dividing fractions by whole numbers. 

Before look at the worksheet, if you would like to learn, how to divide a fraction by a whole number, 

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Dividing Fraction by Whole Number Worksheet - Problems

Problem 1 : 

Simplify :

2/5 ÷  6

Problem 2 :

Simplify :

7/5 ÷ 3

Problem 3 :

Simplify :

5/12 ÷ 20

Problem 4 :

Simplify :

2/19 ÷ 6

Problem 5 :

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

Dividing Fraction by Whole Number Worksheet - Solutions

Problem 1 : 

Simplify :

2/5 ÷  6 

Solution : 

In the above division, change the division as multiplication and take reciprocal of the whole number 6. 

2/5 ÷ 6  =  2/5 ⋅ 1/6

Simplify.

2/5 ÷ 6  =  (2 ⋅ 1) / (5 ⋅ 6)

2/5 ÷ 6  =  (1 ⋅ 1) / (5 ⋅ 3)

2/5 ÷ 6  =  1/15

Problem 2 :

Simplify :

7/5 ÷ 3

Solution : 

In the above division, change the division as multiplication and take reciprocal of the whole number 3. 

7/5 ÷ 3  =  7/5 ⋅ 1/3

Simplify.

7/5 ÷ 3  =  (7 ⋅ 1) / (5 ⋅ 3)

7/5 ÷ 3  =  7/15

Problem 3 :

Simplify :

5/12 ÷ 20

Solution : 

In the above division, change the division as multiplication and take reciprocal of the whole number 20. 

5/12 ÷ 20  =  5/12 ⋅ 1/20

Simplify.

5/12 ÷ 20  =  (5 ⋅ 1) / (12 ⋅ 20)

5/12 ÷ 20  =  (1 ⋅ 1) / (12 ⋅ 4)

5/12 ÷ 20  =  1/48

Problem 4 :

Simplify :

2/19 ÷ 6

Solution : 

In the above division, change the division as multiplication and take reciprocal of the whole number 6. 

2/19 ÷ 6  =  2/19 ⋅ 1/6

Simplify.

2/19 ÷ 6  =  (2 ⋅ 1) / (19 ⋅ 6)

2/19 ÷ 6  =  (1 ⋅ 1) / (19 ⋅ 3)

2/19 ÷ 6  =  1/57

Problem 5 :

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

Solution : 

Part of the pizza eaten by David is 1/4.

Remaining pizza is 3/4. 

Given : Remaining pizza is divided in to equal parts for his two kids. 

Then, the part of the pizza received by each kid is 

=  3/4 ÷ 2

=  3/4 ⋅ 1/2

=  (3 ⋅ 1) / (4 ⋅ 2)

=  3/8

So, each kid will receive 3/8 part of the pizza.

After having gone through the stuff given above, we hope that the students would have understood, how to divide a fraction by a whole number. 

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