Question

Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over y EndFraction divided by StartFraction 1 Over x EndFraction + StartFraction 1 Over y EndFraction

Answer 1

Answer:

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

Step-by-step explanation:

We are given that fraction

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

We have to find the expression which is equivalent to given  fraction .

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

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

Substitute the values  then, we get

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

We know that

$\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}$

Using the property then, we get

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

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

This is required expression which is equivalent to given expression.

Answer 2

Answer: It’s D

Step-by-step explanation:

Took quiz on edge