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Popular >

simplify (1+3/x)/(x-9/x)

Solution

simplify

\frac{1 + \frac{3}{x}}{x - \frac{9}{x}}

Solution

\frac{1}{x - 3}

Solution steps

\frac{1 + \frac{3}{x}}{x - \frac{9}{x}}

Join

1 + \frac{3}{x} : \frac{x + 3}{x}

= \frac{\frac{x + 3}{x}}{x - \frac{9}{x}}

Join

x - \frac{9}{x} : \frac{x ^{2} - 9}{x}

= \frac{\frac{x + 3}{x}}{\frac{x ^{2} - 9}{x}}

Apply the fraction rule:

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

= \frac{( x + 3 ) x}{x ( x ^{2} - 9 )}

Cancel

\frac{( x + 3 ) x}{x ( x ^{2} - 9 )} : \frac{1}{x - 3}

= \frac{1}{x - 3}

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Frequently Asked Questions (FAQ)

What is (1+3/x)/(x-9/x) ?
The solution to (1+3/x)/(x-9/x) is 1/(x-3)