Question

the numerator of a fraction is one more than denominator.if its reciprocal is subtracted from it,the difference is11/30.find the fraction

Answer 1

Let denominator = x         Numerator = x+1     Fraction = (x+1) / x

( x +1) / x – x/(x+1) =11/30

On solving you get,

11x2 - 49x -30 = 0

11x2 -55x + 6X -30 = 0

11x (x -5)  + 6(X -5)0 = 0

X-5 =0

x = 5 

Fraction:  6/5

Answer 2

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