Question

a fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator

Answer 1

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Answer 2

The fraction became $\frac{7}{15}$.

Step-by-step explanation:

Let the number in a fraction be  $\frac{x}{y}$.

Here, numerator is x and denominator is y.

A fraction becomes $\frac{1}{3}$ when 2 is subtracted from the numerator.

i.e. $\frac{x-2}{y}=\frac{1}{3}$

$3x-6=y$

$3x-y=6$ ....(1)

A fraction becomes $\frac{1}{2}$ when 1 is subtracted from the denominator.

i.e. $\frac{x}{y-1}=\frac{1}{2}$

$2x=y-1$

$2x-y=-1$ ....(2)

Solving (1) and (2),

Subtract (1) and (2),

$3x-y-(2x-y)=6-(-1)$

$x=7$

Substitute in (1),

$3(7)-y=6$

$21-y=6$

$y=15$

The fraction became $\frac{7}{15}$.

#Learn more

Find a fraction which becomes 1 by 2 when 1 is subtracted by numerator and 2 is added the denominator and the fraction becomes 1 by 3 when is subtracted from the numerator and 2 is subtracted from the denominator​

https://brainly.in/question/9795939