Question

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

Answer 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

Answer:-

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.