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Popular >

simplify (c-d)/(1/c-1/d)

Solution

simplify

\frac{c - d}{\frac{1}{c} - \frac{1}{d}}

Solution

- c d

Solution steps

\frac{c - d}{\frac{1}{c} - \frac{1}{d}}

Join

\frac{1}{c} - \frac{1}{d} : \frac{d - c}{c d}

= \frac{c - d}{\frac{d - c}{c d}}

Apply the fraction rule:

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

= \frac{( c - d ) c d}{d - c}

Cancel

\frac{( c - d ) c d}{d - c} : - c d

= - c d

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Frequently Asked Questions (FAQ)

What is (c-d)/(1/c-1/d) ?
The solution to (c-d)/(1/c-1/d) is -cd