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Popular >

simplify 4/(4+i)

Solution

simplify

\frac{4}{4 + i}

Solution

\frac{16}{17} - \frac{4}{17} i

Solution steps

\frac{4}{4 + i}

Multiply by the conjugate

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

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

Simplify

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

= \frac{16 - 4 i}{17}

Rewrite in standard complex form:

\frac{16}{17} - \frac{4}{17} i

= \frac{16}{17} - \frac{4}{17} i

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Frequently Asked Questions (FAQ)

What is 4/(4+i) ?
The solution to 4/(4+i) is 16/17-4/17 i