What is 1/(1+2i)+1/(1+6i) ?

The solution to 1/(1+2i)+1/(1+6i) is 42/185-104/185 i

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simplify 1/(1+2i)+1/(1+6i)

simplify

\frac{1}{1 + 2 i} + \frac{1}{1 + 6 i}

\frac{42}{185} - \frac{104}{185} i

Solution steps

\frac{1}{1 + 2 i} + \frac{1}{1 + 6 i}

\frac{1}{1 + 2 i} = \frac{1 - 2 i}{5}

\frac{1}{1 + 6 i} = \frac{1 - 6 i}{37}

= \frac{1 - 2 i}{5} + \frac{1 - 6 i}{37}

Join

\frac{1 - 2 i}{5} + \frac{1 - 6 i}{37} : \frac{- 104 i + 42}{185}

= \frac{- 104 i + 42}{185}

Rewrite in standard complex form:

\frac{42}{185} - \frac{104}{185} i

= \frac{42}{185} - \frac{104}{185} i

\frac{360}{361}

1 \frac{2}{5} + \frac{4}{5}

2 (p + q) + q

627 - 512

\frac{1}{1 + i} - \frac{2}{1 - i}

What is 1/(1+2i)+1/(1+6i) ?
The solution to 1/(1+2i)+1/(1+6i) is 42/185-104/185 i