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Popular >

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

Solution

simplify

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

Solution

x y

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Cancel

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

= x y

Popular Examples

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\frac{45}{30}

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\frac{56}{7}

Frequently Asked Questions (FAQ)

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