Question

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 is....?​

Answer 1

1/4

Explanation:

Let the fraction be x/y

(x + 1)/y = 1/2

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

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

2x + 2 = y

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

3x + 1=y - 1+ 1

3x + 1 = y

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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

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y = 3x + 1

y = 3(1) + 1

y = 3 + 1

y = 4

The original fraction was 1/4