the difference between the numerator and denominator of a fraction is 5. if 5 is added to its denominator then the fraction is decreased by one of its one fourth 1(1/4). find the value of fraction

Answer 1

what does "decreased by one of its one fourth" mean?

decreased by 1/4, or decreased by 1/4 of its value?

either
n = d+5
or n = d-5

so, the new value is either

(d+5)/(d+10) or (d-5)/(d+5)

now equate that to whatever your weird statement implies.

Answer 2

The difference between the numerator and the denominator of a fraction
is 5. If 5 is added to the denominator, the fraction is decreased by 1 1/4

Find the fraction.

if the difference is 5 between the numerator and denominator, that means that the numerator is 5 more than the denominator. So it would be x+5/x. When you add 5 to the denominator it would be x+5/x+5 which would cancel out to be one. Now if the fraction got decreased by 1 1/4, then it is 1 1/4 + 1 which equals 2 1/4.