**Dividing Fractions by Whole Numbers :**

In this section, you will learn, how to divide a fraction by a whole number.

**Step 1 :**

When we divide a fraction by a whole number, first we have to change the division as multiplication

**Step 2 :**

Take reciprocal of the whole number.

**Step 3 :**

Multiply the two fractions. (Numerator times numerator and denominator times denominator).

**Example 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

**Example 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

**Example 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

**Example 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

**Example 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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