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Popular >

simplify 1/(1/a+1/b)

Solution

simplify

\frac{1}{\frac{1}{a} + \frac{1}{b}}

Solution

\frac{ab}{b + a}

Solution steps

\frac{1}{\frac{1}{a} + \frac{1}{b}}

Join

\frac{1}{a} + \frac{1}{b} : \frac{b + a}{ab}

= \frac{1}{\frac{b + a}{ab}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{ab}{b + a}

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Frequently Asked Questions (FAQ)

What is 1/(1/a+1/b) ?
The solution to 1/(1/a+1/b) is (ab)/(b+a)