DIVIDING FRACTION BY WHOLE NUMBER WORKSHEET

1. Divide 2/5 by 6.

2. Divide 7/5 by 3.

3. Divide 5/12 by 20.

4. Divide 2/19 by 6.

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 ?

6. David  donated one-fourth of his property to charity and divided the rest equally for his three sons. Find the share of each son.

7.  2/3 of an amount of money is $519.

Find:

a) 1/3 of the money

b) the whole amount.

8.  4/5 of a soy bean crop is 2104 tonnes. Find the weight of:

a) 1/5 of the crop

b the whole crop.

9. 2/11 of Jo’s weekly earnings are paid as income tax. She has $666 remaining after tax. What is her total weekly pay?

10. 3/13 of a field was searched for truffles and 39 were found. How many truffles would we expect to find in the remainder of the field?

11. Annika pays 2/25 of her weekly income into a retirement fund. If she pays $42 into the retirement fund, what is her:

a) weekly income

b) annual income?

12. Jamil spent 1/4 of his weekly salary on rent, 1/5 on food, and 1/6 on clothing and entertainment. The remaining money was banked.

a) What fraction of Jamil’s money was banked?

b) If he banked $138, what is his weekly salary?

c) How much did Jamil spend on food?

1. Answer :

2/5 ÷ 6 

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

2/5 ÷ 6 = 2/5 ⋅ 1/6

= (2 ⋅ 1)/(5 ⋅ 6)

= (1 ⋅ 1)/(5 ⋅ 3)

= 1/15

2. Answer :

7/5 ÷ 3

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

7/5 ÷ 3 = 7/5 ⋅ 1/3

= (7 ⋅ 1)/(5 ⋅ 3)

= 7/15

3. Answer :

5/12 ÷ 20

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

5/12 ÷ 20 = 5/12 ⋅ 1/20

= (5 ⋅ 1)/(12 ⋅ 20)

= (1 ⋅ 1)/(12 ⋅ 4)

= 1/48

4. Answer :

2/19 ÷ 6

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

= 2/19 ⋅ 1/6

= (2 ⋅ 1)/(19 ⋅ 6)

= (1 ⋅ 1)/(19 ⋅ 3)

= 1/57

5. Answer :

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.

6. Answer :

Given : One-fourth of the property donated to charity.

Then, 3/4^th of the property is remaining and it divided equally for the three sons.

Share of each son :

= 3/4 ÷ 3

= 3/4 ⋅ 1/3

= (3 ⋅ 1)/(4 ⋅ 3)

= 3/12

= 1/4

So, each son will get one-fourth of the property as share.

7. Answer :

a) 1/3 of the money :

2/3 of amount of money = 519

2/3 x amount of money = 519

Dividing by 2/3 on both sides

Amount of money = 519 / (2/3)

= 519 x 3/2

To find 1/3 of money, we multiply by 1/3

= 1/3 x 519 x 3/2

= 519/2

= 259.5

b) the whole amount = 519 x 3/2

= 778.5

8. Answer :

4/5 of a soy bean crop = 2104 tonnes

To find 1/5 of crop, we should divide by 4, we get

= 2014/4

1/5 of soy bean = 503.5

a) So, 1/5 of soy bean is $503.5

b) Total amount of soy bean = 503.5 x 5

= $2517.5

9. Answer :

Income tax = 2/11 of Jo's earning

Remaining money = 1 - (2/11)

= (11 - 2)/11

= 9/11 of money

9/11 of earning = 666

Total earning = 666 / (9/11)

= 666 x (11/9)

= 74 x 11

= $814

So, his weekly earning is $814.

10. Answer :

Let x be the total number of truffles

3/13 of x = 39

x = 39/(3/13)

= 39 x (13/3)

= 13 x 13

= 169 

Total number of truffles = 169

Remaining field = 1 - (3/13)

= (13 - 3) / 13

= 10/13

Remaining field = 10/13 of 169

= 10/13 x 169

= 10 x 13

= 130

11. Answer :

Annika pays 2/25 of her weekly income into a retirement fund. If she pays $42 into the retirement fund, what is her:

a) weekly income

2/25 of weekly income = 42

2/25 x weekly income = 42

weekly income = 42 / (2/25)

= 42 x (25/2)

= 21 x 25

= 525

So, weekly income is $525

b) annual income

To find the annual income, we multiply the weekly income by 52.

= 525 x 52

= $27300

12. Answer :

Amount spent for weekly salary = 1/4

Amount spent for food = 1/5

Amount spent for clothing = 1/6

Reminaing amount = 1 - [(1/4) + (1/5) + (1/6)]

= 1 - [(15 + 12 + 10)/60]

= 1 - 37/60

= 23/60

a) Fraction of Jamil’s money was banked = 23/60

b) 23/60 of weekly salary = 138

weekly salary = 138 / (23/60)

= 138 x (60/23)

= 6 x 60

= 360

c) Amount spend on food = 1/5 of 360

= 1/5 x 360

= 120

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.