Question

The numerator of a fraction is 4 less than
its denominator. If the numerator is
decreased by 1, the fraction is equal to 2/3
Find the fraction

Answer 1

LET THE NUMERATOR BE X AND THE DENOMINATOR BE Y

GIVEN:

X=Y-4

X-1=2Y/3

SUB X=Y-4

Y-4-1=2Y/3

3(Y-5)=2Y

3Y-15=2Y

Y=15

SUB Y=15

X=15-4=11

HENCE THE FRACTION IS 11/15

Answer 2

Answer:

11/15

Step-by-step explanation:

given, the numerator of a fraction is 4 less than

its denominator

=> if the numerator is x, then the denominator is x+4

=> the fraction is x/(x+4)

also given that, if the numerator is

decreased by 1, the fraction is equal to 2/3

=> (x-1)/(x+4) = 2/3

=> 3x - 3 = 2x + 8

=> x = 11

=> the original fraction = 11/15