What is 1/(1+3i)+1/(1+6i) ?

The solution to 1/(1+3i)+1/(1+6i) is 47/370-171/370 i

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simplify 1/(1+3i)+1/(1+6i)

simplify

\frac{1}{1 + 3 i} + \frac{1}{1 + 6 i}

\frac{47}{370} - \frac{171}{370} i

Solution steps

\frac{1}{1 + 3 i} + \frac{1}{1 + 6 i}

\frac{1}{1 + 3 i} = \frac{1 - 3 i}{10}

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

= \frac{1 - 3 i}{10} + \frac{1 - 6 i}{37}

Join

\frac{1 - 3 i}{10} + \frac{1 - 6 i}{37} : \frac{- 171 i + 47}{370}

= \frac{- 171 i + 47}{370}

Rewrite in standard complex form:

\frac{47}{370} - \frac{171}{370} i

= \frac{47}{370} - \frac{171}{370} i

- \frac{12}{20} \div \frac{2}{5}

225 \div 25

0. 4^{6}

(a^{2} + b)^{2} - (a^{2} - b)^{2}

4 x^{2} + 8 x - 21

What is 1/(1+3i)+1/(1+6i) ?
The solution to 1/(1+3i)+1/(1+6i) is 47/370-171/370 i