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# The denominator of a fraction is bigger than its numerator by 3. If 3 is subtracted from the numerator, and 2 added to the denominator, the value of fraction we get is 1/5. Find the original fraction.

Let the numerator be x.

Since, the denominator is bigger than numerator by 3

Denominator = x + 3

If 3 is subtracted from the numerator, it becomes = x-3

And, 2 added to the denominator, it becomes = (x + 3) + 2

It is given that :-

On cross multiplying, we get,

5x – 15 = x + 5

4x = 20

x = 5

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