What is (17/18-7/9)/(-1/9-5/9) ?

The solution to (17/18-7/9)/(-1/9-5/9) is -1/4

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simplify (17/18-7/9)/(-1/9-5/9)

simplify

\frac{\frac{17}{18} - \frac{7}{9}}{- \frac{1}{9} - \frac{5}{9}}

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

\frac{\frac{17}{18} - \frac{7}{9}}{- \frac{1}{9} - \frac{5}{9}}

\frac{17}{18} - \frac{7}{9} = \frac{1}{6}

= \frac{\frac{1}{6}}{- \frac{1}{9} - \frac{5}{9}}

- \frac{1}{9} - \frac{5}{9} = - \frac{2}{3}

= \frac{\frac{1}{6}}{- \frac{2}{3}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{1}{6}}{\frac{2}{3}}

Apply the fraction rule:

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

\frac{\frac{1}{6}}{\frac{2}{3}} = \frac{1 \cdot 3}{6 \cdot 2}

= - \frac{1 \cdot 3}{6 \cdot 2}

Cancel

- \frac{1 \cdot 3}{6 \cdot 2} : - \frac{1}{4}

= - \frac{1}{4}

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