Question

The numerator of a fraction is six less than its denominator. If the numerator is decreased by 4 and the

denominator is decreased by 1, the fraction becomes

5

8

. Find the fraction.​

Answer 1

Step-by-step explanation:

Given:-

The numerator of a fraction is six less than its denominator. If the numerator is decreased by 4 and the denominator is decreased by 1, the fraction

Find the fraction.

Solution:-

Let the numerator be X

and the denominator be Y

The fraction be X/Y

Condition 1:-

The numerator of a fraction is 6 less than its denominator

=>X=Y-6 --------(1)

Condition 2:-

If the numerator is decreased by 4 and the

the numerator is decreased by 4 and the denominator is decreased by 1, the fraction becomes 5/8

= (X-4)/(Y-1)=5/8

=>8(X-4)=5(Y-1)

=>8(Y-6-4)=5(Y-1)

=>8(Y-10)=5(Y-1)

=>8Y-80=5Y-5

=>8Y-5Y=-5+80

=>3Y=75

=>Y=75/3

=>Y=25

=>X=25-6=19

Answer:-

The fraction =19/25