Worksheet on Division of Fractions

This worksheet involves a variety of problems on division of fractional numbers. It will give the learners an overall practice on division of fractional numbers. it will help in boosting their confidence and will build their knowledge by practicing every type of sums.

This worksheet provides story sums on division of fractional numbers, division of whole numbers by fractions, division of fractions by whole numbers. Moreover, it also contains division of mixed fraction with another mixed fraction. It a nutshell it will serve as a complete practice for the young learners.

Here are few problems on division on fraction for practice:

1. Division of fraction by a whole number

Find:

(i) 7/6  ÷ 70

(ii) 25/6  ÷ 1500

(iii) 12/37  ÷ 480

Answers:

(i) 1/60

(ii) 1/360

(iii) 1/1480

2. Division of whole number by a fraction

(i)  110 ÷ 5/2

(ii) 65 ÷ 13/5

(iii) 95 ÷ 5/3

Answers:

(i) 44

(ii) 25

(iii) 57

3. Division of mixed fraction by another mixed fraction

(i) 7\(\frac{1}{2}\) ÷ 12\(\frac{6}{7}\)

(ii) 8\(\frac{1}{3}\) ÷ 11\(\frac{1}{9}\)

(iii) 25\(\frac{1}{2}\) ÷ 10\(\frac{1}{5}\)

Answers:

(i) 7/12

(ii) 3/4

(iii) 2½ 

4. Fill in the blanks:

Division based on the properties of division

(i) 3/5 ÷ 7\(\frac{1}{8}\) ÷ 8/9 = …………………..

(ii) 56 ÷ 8/9 = …………………..

(iii) 0 ÷ 17/3  = …………………..

(iv) 31/37 ÷ 31/37 = …………………..

(v) 11/13 ÷ 1 = …………………..

(vi) 18/17 ÷ 5/17 = ………………….. 

Answers:

(i) 9/95

(ii) 63

(iii) 0

(iv) 1

(v) 11/13

(vi) 18/5  or 33/5

5. (i) 8/7 ÷ 64/56

(ii) 17/7 ÷ 289

(iii) 529 ÷ 23/25

Answers:

(i) 1

(ii) 1/119 

(iii) 575

6. Solve the following:

(i) 8\(\frac{1}{4}\) ÷ 7/3 ÷ 66/28

(ii) 9\(\frac{3}{7}\) ÷ 18\(\frac{1}{3}\) ÷ 3/7

(iii) 3\(\frac{1}{3}\) ÷ 90

(iv ) 0 ÷ 58\(\frac{1}{7}\)

(v) 3\(\frac{1}{4}\) ÷ 3\(\frac{5}{7}\)

(vi) 2\(\frac{5}{4}\)  ÷  13/28

Answers:

(i) 1½ 

(ii) 1\(\frac{1}{5}\)

(iii) 1/27

(iv) 0

(v) 7/8

(vi) 7

Here are few story sums based on division of fractional numbers:

7. There are 500 boys in a school. If 3/5 of the students are girls. Find the total no. of students in the school.

Answer:

1250 students

8. Sita bought 12 handkerchiefs for Rs. 142/5 . Find the cost of each handkerchief.

Answer:

Rs. 6/5 or 1\(\frac{1}{5}\)

9. The product of two numbers is 15. One number is  5/21. Find the other number.

Answer:

63

10. A man walked 9\(\frac{1}{2}\) km in 2 hours. Find the distance covered by the man in 1 hour?

Answer:

4\(\frac{3}{4}\) km

11. The cost of 121/2 kgs of potatoes is Rs. 250 Find the cost of 1 kg of potato.

Answer:

Rs. 20

12. If 152/4 boxes of apples contain 310kgs of apple. Find the quantity of apples in each box.

Answer:

20 kgs

13. There are 12 jars and 51/2 litres of juice is poured equally into each of the jars. Find the litres of milk in each jar.

Answer:

11/24 litres of milk

14. Ram covered 44 km in 51/2 hours. Find the kilometres covered in 1 hour.

Answer:

8 kms

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