What is (3+4i)/(4+i) ?

The solution to (3+4i)/(4+i) is 16/17+13/17 i

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simplify (3+4i)/(4+i)

simplify

\frac{3 + 4 i}{4 + i}

\frac{16}{17} + \frac{13}{17} i

Solution steps

\frac{3 + 4 i}{4 + i}

Multiply by the conjugate

\frac{4 - i}{4 - i}

= \frac{( 3 + 4 i ) ( 4 - i )}{( 4 + i ) ( 4 - i )}

Simplify

\frac{( 3 + 4 i ) ( 4 - i )}{( 4 + i ) ( 4 - i )} : \frac{16 + 13 i}{17}

= \frac{16 + 13 i}{17}

Rewrite in standard complex form:

\frac{16}{17} + \frac{13}{17} i

= \frac{16}{17} + \frac{13}{17} i

2 \cdot 0.1

81 m^{4} - 256

3 h^{2} - 19 h - 40

ln (\frac{1}{e ^{4}})

8 v - 6 v = 0