**RECIPROCALS**

*Two numbers whose product is 1 are called reciprocals.*

For example, 5/6 and 6/5 are reciprocals.

5/6×6/5 = 30/30 = 1

4 and 1/4 are reciprocals.

**Step 1.** Write the number as a fraction 7/1, 3/4, 5/2

**Step 2.** Interchange the numerator and denominator 1/7, 4/3, 2/5

**DIVISION OF FRACTIONS**

### Dividing Fractions

To understand division of fractions let us look at division again.

If you had a sum 6÷2, you could think of it as ‘how many 2s are there in 6?’ The answer would be 3.

There are three 2s in 6.

**Dividing a Whole Number by an Unit Fraction**

(a) You can do the same thing when you divide by fractions.

To understand 3÷1/2, ask the question ‘how many halves in 3?’

These are three apples. Think: ‘how many halves in three apples?’

We can see that there are 6 halves in 3 apples.

3÷1/2 = 6

We can also describe the same picture as 3×2 = 6

**Dividing by 1/2 is just like multiplying by 2.**

Here is how you can solve the sum without pictures.

3 ÷ 1/2 = ?

Dividend Divisor

**Step 1.** Find the reciprocal of the divisor. Reciprocal of 1/2 is 2/1.

**Step 2.** Multiply the dividend with the reciprocal: 3×2/1 = 6

3÷1/2 = 6

I need worksheet for Class 5th Mathematics.