**Dividing Fractions Worksheet :**

Worksheet given in this section will be much useful for the students who would like to practice problems on dividing a fraction by another fraction.

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

**Problem 1 : **

Simplify :

2/5 ÷ 6/7

**Problem 2 :**

Simplify :

7/5 ÷ 3/2

**Problem 3 :**

Simplify :

5/12 ÷ 20/13

**Problem 4 :**

Simplify :

2/19 ÷ 6 1/2

**Problem 5 :**

David can make one pizza in 1/2 hour. How many pizzas can he make in 5/2 hours ?

**Problem 1 : **

Simplify :

2/5 ÷ 6/7

**Solution : **

In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.

2/5 ÷ 6/7 = 2/5 ⋅ 7/6

Simplify.

2/5 ÷ 6/7 = (2 ⋅ 7) / (5 ⋅ 6)

2/5 ÷ 6/7 = (1 ⋅ 7) / (5 ⋅ 3)

2/5 ÷ 6/7 = 7/15

**Problem 2 :**

Simplify :

7/5 ÷ 3/2

**Solution : **

In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.

7/5 ÷ 3/2 = 7/5 ⋅ 2/3

Simplify.

7/5 ÷ 3/2 = (7 ⋅ 2) / (5 ⋅ 3)

7/5 ÷ 3/2 = (7 ⋅ 2) / (5 ⋅ 3)

7/5 ÷ 3/2 = 14/15

**Problem 3 :**

Simplify :

5/12 ÷ 20/13

**Solution : **

In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.

5/12 ÷ 20/13 = 5/12 ⋅ 13/20

Simplify.

5/12 ÷ 20/13 = (5 ⋅ 13) / (12 ⋅ 20)

5/12 ÷ 20/13 = (1 ⋅ 13) / (12 ⋅ 4)

5/12 ÷ 20/13 = 13/48

**Problem 4 :**

Simplify :

2/19 ÷ 6 1/2

**Solution :**

**2/19 ÷ 6 1/2 = ****2/19 ÷ 13/2**

**2/19 ÷ 6 1/2 = ****2/19 **⋅** 2/13**

**Simplify.**

**2/19 ÷ 6 1/2 = (****2 **⋅ 2) / (19 ⋅ **13)**

**2/19 ÷ 6 1/2 = 4**/247

**Problem 5 :**

David can make one pizza in 1/2 hour. How many pizzas can he make in 5/2 hours ?

**Solution : **

Time taken to make one pizza is 1/2 hour.

No. of pizzas made in 5/2 hours is

= 5/2 ÷ 1/2

**= 5/2**** **⋅** 2/1**

**= (5**** **⋅ 2) / (2 ⋅ **1)**

**= 10/2**

**= 5**

**So, David can make 5 pizzas in 5/2 hours.**

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

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