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andrezito [222]
3 years ago
7

Which expression is equivalent to the following complex fraction?

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
\dfrac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}=\dfrac{\frac{y}{xy}-\frac{x}{xy}}{\frac{y}{xy}+\frac{x}{xy}}=\dfrac{\frac{y-x}{xy}}{\frac{y+x}{xy}}=\dfrac{(y-x)xy}{(y+x)xy}=\dfrac{y-x}{y+x}

Answer D.
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Let's translate the verbal language to algebraic language.

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