# Division of Fractions

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John has a paper strip of length 6 cm. He cuts this strip in smaller strips of length 2 cm each. You know that he would get 6 ÷ 2 =

John cuts another strip of length 6 cm into smaller strips of length

A paper strip of length

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## Division of Whole Number by a Fraction

Let us find, 3 ÷

into

Observe also that, 3 x

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## Reciprocal of a fraction

The number

**The non-zero numbers whose product with each other is 1, are called the reciprocals of each other. So reciprocal of 59 is What is the receiprocal of 19? and 27 ? **

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## THINK, DISCUSS AND WRITE

**Thus, to divide a whole number by any fraction, multiply that whole number by the reciprocal of that fraction.**

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## Try these

**(i)Find 4 ÷ 2 **

- We have 4 ÷ 2
=2 5 - We first convert the mixed fraction into improper which gives us
- Taking the reciprocal for the division
- Simplifying
- Therefore, we have found the answer.

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While dividing a whole number by a mixed fraction, first convert the mixed fraction into improper fraction and then solve it.

## Division of a Fraction by a Whole Number

**(i)What will be **

As you can see, we have shaded

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- We take the reciprocal of 3 which is
- Thus,
3 4 ÷ 3 = - Multiplying and simplifying
- We have found the answer

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While dividing mixed fractions by whole numbers, convert the mixed fractions into improper fractions. That is,

## Division of a Fraction by Another Fraction

**(i)We can now find **

- We take the reciprocal of
which is2 3 - Thus,
8 5 x =3 2 - Multiplying and simplifying we get fraction is
- We have found the answer

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**(ii)We can now find **

- We take the reciprocal of
which is6 5 - Thus,
1 3 x =5 6 - We have found the answer

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## TRY THESE

(i)Find reciprocal of given example

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(ii)Find reciprocal of given example