Question

I want the answer
fast​

Answer 1

Below

Explanation:

Original fraction (x-1) / x <====given (use in final step below)

Altered fraction (x-1 +1) / (x+5) = 1/2 <====solve this for 'x'

x / (x+5) = 1/2 cross multiply

2x = x+5

x = 5

So original fraction was 4/5

Answer 2

original fraction =
`(4)/(5)`

Explanation:

let the denominator of the fraction be x then the numerator is x - 1 , so

original fraction is

`(x-1)/(x)`

if 1 is added to the numerator and 5 to the denominator , then fraction is

`(-1+1)/(x+5)` =
`(x)/(x+5)`

equate this to
`(1)/(2)`

`(x)/(x+5)` =
`(1)/(2)` ( cross- multiply )

2x = x + 5 ( subtract x from both sides )

x = 5

then original fraction is

`(x-1)/(x)` =
`(5-1)/(5)` =
`(4)/(5)`