Let [tex]x[/tex] 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.
[tex] \frac{52367-x}{47633+x} = \frac{17}{38} [/tex]
[tex]38(52367-x)=17(47633+x)[/tex]
[tex]1989946-38x=809761+17x[/tex]
[tex]1180185=55x[/tex]
[tex]x= \frac{1180185}{55} [/tex]
[tex]x= \frac{236037}{11} [/tex]
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:[tex]\frac{236037}{11} [/tex]
