# The numerator of a fraction is 4 less than the denominator. If 1 is added to both numerator and denominator it becomes 1/2.Find the fraction

• 2

let the denominator be x.

so, numerator=x-4

x-4 /x =1/2

as one is added to both numerator and denominator, we have

x-4+1/x+1=1/2

x-3/x+1=1/2

on cross multiplying, we have

2(x-3)=1(x+1)

2x-6=x+1

2x-x=1+6

1x=7

x=7

therefore the fraction is -

numerator=3 [as x-4]

denominator= 7 [as x]

therefore, the fraction is 3/7

• 7
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