What is (13+12i)/(1+5i) ?

The solution to (13+12i)/(1+5i) is 73/26-53/26 i

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simplify (13+12i)/(1+5i)

simplify

\frac{13 + 12 i}{1 + 5 i}

\frac{73}{26} - \frac{53}{26} i

Solution steps

\frac{13 + 12 i}{1 + 5 i}

Multiply by the conjugate

\frac{1 - 5 i}{1 - 5 i}

= \frac{( 13 + 12 i ) ( 1 - 5 i )}{( 1 + 5 i ) ( 1 - 5 i )}

Simplify

\frac{( 13 + 12 i ) ( 1 - 5 i )}{( 1 + 5 i ) ( 1 - 5 i )} : \frac{73 - 53 i}{26}

= \frac{73 - 53 i}{26}

Rewrite in standard complex form:

\frac{73}{26} - \frac{53}{26} i

= \frac{73}{26} - \frac{53}{26} i

\frac{( 3 ^{2} ) ^{6}}{3 ^{5}}

5 (\frac{1}{13})

6 ab + 3 a + 1 + 2 b

10 x - 12 y + 8 + 12 y

(X + 4)^{2}