## the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction​

Question

the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction​

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2 months 2021-08-02T03:24:55+00:00 1 Answers 0 views 0

1. Step-by-step explanation:

## Given :–

The numerator of a fraction is 6 less than the denominator. The sum of numerator and denominatir is 22.

## To find:–

Find the fraction ?

## Solution:–

Let the denominator be X

Then the numerator = 6 less than the denominator

=> X-6

Numerator = X-6

The sum of the numerator and the denominator = 22

=> X-6+X = 22

=>2X -6 = 22

=>2X = 22+6

=> 2X = 28

=> X = 28/2

=> X = 14

Denominator = 14

Numerator = 14-6 = 8

The required fraction for the given problem is 8/14

## Check:–

Numerator = 8

Denominator = 14

Numerator = 14-6

=> Denominator-6

and

Their sum = 8+14 = 22

Verified the given relations.