Question

Which expression is equivalent to the following complex fraction?

Answer 1

Answer:

The correct answer is D. y-x/y+x

Step-by-step explanation:

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Answer 2

Answer: (D) $\frac{y-x}{y+x}$

Explanation:

$\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}=\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}=\frac{y-x}{y+x}$

Just a note on writing down these expressions: I recommend using parentheses whenever you can to avoid misinterpretation. An expression 1/x-1/y / 1/x+1/y could be interpreted by someone as 1/x-(1/y / 1/x)+1/y, which is a different thing.