Question

Simplify the compound fractional expression.

(x-(x/y) / (y-(y/x)

Answer 1

The simplified form of the compound fractional expression is
`(x^2(y-1))/(y^2(x-1))`.

Explanation:

Simplify the fraction as shown:

`(x-(x)/(y) )/(y-(y)/(x) )`

Take the LCM.

`((xy-x)/(y) )/((xy-y)/(x) )`

Simplify,

`(xy-x)/(y) *(x)/(xy-y)`

`(x^2(y-1))/(y^2(x-1))`

Hence, the simplified form of the compound fractional expression is
`(x^2(y-1))/(y^2(x-1))`.