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Murljashka [212]
3 years ago
5

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

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Answer:

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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