# The numerator of a fraction is 4 less than the denominator.IF 1 is added to both its numerator and denominator,it becomes 1/2.find the fraction

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Let denominator of the fraction be =x

ATQ

Numerator = x-4.Then

Fraction = (x-4) / x.

Adding 1 to both numerator and denominator, we get

[(x-4)+1] / (x+1) = (x-3) /(x+1) = 1/2

2x - 6 = x+1 [BY CROSS MULTIPLY]

2x - x = 1+6 ==> x=7

Denominator = 7 and

Numerator = x-4 = 7-4=3

HENCE THE FRACTION IS 3/7