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Popular >

simplify (1/x+1/y)/(x+y)

Solution

simplify

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

Solution

\frac{1}{x y}

Solution steps

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

Join

\frac{1}{x} + \frac{1}{y} : \frac{y + x}{x y}

= \frac{\frac{y + x}{x y}}{x + y}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{y + x}{x y ( x + y )}

Cancel

\frac{y + x}{x y ( x + y )} : \frac{1}{x y}

= \frac{1}{x y}

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Frequently Asked Questions (FAQ)

What is (1/x+1/y)/(x+y) ?
The solution to (1/x+1/y)/(x+y) is 1/(xy)