What is (-11-27i)/(4-i) ?

The solution to (-11-27i)/(4-i) is -1-7i

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simplify (-11-27i)/(4-i)

simplify

\frac{- 11 - 27 i}{4 - i}

- 1 - 7 i

Solution steps

\frac{- 11 - 27 i}{4 - i}

Multiply by the conjugate

\frac{4 + i}{4 + i}

= \frac{( - 11 - 27 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )}

Simplify

\frac{( - 11 - 27 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{- 17 - 119 i}{17}

= \frac{- 17 - 119 i}{17}

Apply the fraction rule:

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

= \frac{- 17}{17} + \frac{- 119}{17} i

Simplify

\frac{- 17}{17} + \frac{- 119}{17} i : - 1 - 7 i

= - 1 - 7 i

\frac{5 + 3 i}{- 10 - 3 i}

1 6^{0.25}

\frac{1}{2} \div \frac{3}{5}

\frac{1}{2} \div \frac{3}{2}

3 5 a \cdot 8 35 a^{2}