Mathematics: Simplify the compound fractional expression. (x-(x/y) / (y-(y/x)

Simplify the compound fractional expression. (x-(x/y)

Giabear23

05.02.2022

The simplified form of the compound fractional expression is $\frac{x^2(y-1)}{y^2(x-1)}$ .

Step-by-step explanation:

Simplify the fraction as shown:

$\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }$

Take the LCM.

$\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }$

Simplify,

$\frac{xy-x}{y} \times\frac{x}{xy-y}$

$\frac{x^2(y-1)}{y^2(x-1)}$

Hence, the simplified form of the compound fractional expression is $\frac{x^2(y-1)}{y^2(x-1)}$ .

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