What is (1-9/x)/(3-3/x) ?

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

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

simplify

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

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

Solution steps

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

Join

1 - \frac{9}{x} : \frac{x - 9}{x}

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

Join

3 - \frac{3}{x} : \frac{3 x - 3}{x}

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

Apply the fraction rule:

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

= \frac{( x - 9 ) x}{x ( 3 x - 3 )}

Cancel the common factor:

x

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

(- 7 x^{2} + 3 x - 10) + (- 6 x^{2} - 10 x + 3)

2 (x + 8)

- 2 + - 4

4 \times (- 16)

\frac{3}{7} + \frac{4}{9}