What is (-10+7i)/(-9-9i) ?

The solution to (-10+7i)/(-9-9i) is 1/6-17/18 i

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simplify (-10+7i)/(-9-9i)

simplify

\frac{- 10 + 7 i}{- 9 - 9 i}

\frac{1}{6} - \frac{17}{18} i

Solution steps

\frac{- 10 + 7 i}{- 9 - 9 i}

Multiply by the conjugate

\frac{- 9 + 9 i}{- 9 + 9 i}

= \frac{( - 10 + 7 i ) ( - 9 + 9 i )}{( - 9 - 9 i ) ( - 9 + 9 i )}

Simplify

\frac{( - 10 + 7 i ) ( - 9 + 9 i )}{( - 9 - 9 i ) ( - 9 + 9 i )} : \frac{27 - 153 i}{162}

= \frac{27 - 153 i}{162}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{27}{162} + \frac{- 153}{162} i

Simplify

\frac{27}{162} + \frac{- 153}{162} i : \frac{1}{6} - \frac{17}{18} i

= \frac{1}{6} - \frac{17}{18} i

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