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Popular >

simplify (1/x-1/5)/(x-5)

Solution

simplify

\frac{\frac{1}{x} - \frac{1}{5}}{x - 5}

Solution

- \frac{1}{5 x}

Solution steps

\frac{\frac{1}{x} - \frac{1}{5}}{x - 5}

Join

\frac{1}{x} - \frac{1}{5} : \frac{5 - x}{5 x}

= \frac{\frac{5 - x}{5 x}}{x - 5}

Apply the fraction rule:

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

= \frac{5 - x}{5 x ( x - 5 )}

Cancel

\frac{5 - x}{5 x ( x - 5 )} : - \frac{1}{5 x}

= - \frac{1}{5 x}

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Frequently Asked Questions (FAQ)

What is (1/x-1/5)/(x-5) ?
The solution to (1/x-1/5)/(x-5) is -1/(5x)