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

1 thought on “the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction​”

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.

   Reply