If 1 added to the numerator of fraction it becomes 1/2 and if one subtracted from the denominator it becomes 1/3 then the fraction

1/4

Step-by-step explanation:

Let the fraction be x/y

(x + 1)/y = 1/2

x/(y - 1) = 1/3          Cross multiply both equations.

2*(x + 1) = y           Remove the brackets

2x + 2 = y

3x = y - 1               Add 1 to both sides.

3x + 1=y - 1+ 1

3x + 1 = y

Equate both ys

3x + 1 = 2x + 2        Subtract 1 from both sides.

3x + 1-1 = 2x + 2 -1

3x = 2x + 1              Subtract 2x from both sides.

3x-2x = 2x-2x +1    Simplify

x = 1

y = 3x + 1

y = 3(1) + 1

y = 3 + 1

y = 4

The original fraction was 1/4

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step-by-step explanation: