Question

What number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38

Equation needed too!

Answer 1

Let
`x` be the number that you should subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38.

`(52367-x)/(47633+x) = (17)/(38)`

`38(52367-x)=17(47633+x)`

`1989946-38x=809761+17x`

`1180185=55x`

`x= (1180185)/(55)`

`x= (236037)/(11)`

We can conclude that the number you should subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38 is:
`(236037)/(11)`