# The numerator of a fraction is one less than its denominator. If 3 is added to each of the numerator and denominator, the fraction is increased by 3/28, find the fraction. 28

Let the denominator = x

Given that numerator is one less than the denominator

numerator = x – 1

So, the fraction According to the question,    28{(x2 + 2x) – (x2 –x + 3x – 3)} = 3 (x2 + 3x)

28x2 + 56x – 28x2 – 56x + 84 = 3x2 + 9x

3x2 + 9x – 84 = 0

x2 + 3x – 28 = 0

x2 + 7x – 4x – 28 = 0

x(x + 7) – 4(x + 7) = 0

(x 4) (x + 7) = 0

x = 4 and – 7

But x is a natural number

Hence, x = 4

So, the fraction is Rate this question :

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