What is (1+3i)/(6+8i) ?

The solution to (1+3i)/(6+8i) is 3/10+1/10 i

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simplify (1+3i)/(6+8i)

simplify

\frac{1 + 3 i}{6 + 8 i}

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

Solution steps

\frac{1 + 3 i}{6 + 8 i}

Multiply by the conjugate

\frac{6 - 8 i}{6 - 8 i}

= \frac{( 1 + 3 i ) ( 6 - 8 i )}{( 6 + 8 i ) ( 6 - 8 i )}

Simplify

\frac{( 1 + 3 i ) ( 6 - 8 i )}{( 6 + 8 i ) ( 6 - 8 i )} : \frac{30 + 10 i}{100}

= \frac{30 + 10 i}{100}

Apply the fraction rule:

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

= \frac{30}{100} + \frac{10}{100} i

Simplify

\frac{30}{100} + \frac{10}{100} i : \frac{3}{10} + \frac{1}{10} i

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

4 - 22

x^{3} \cdot x^{- 1}

- x^{3} + 3 x^{2} + 4 x - 12

\frac{x ^{2}}{x ^{2}}

180 x^{7} y^{3}