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Popular >

simplify (1+i)/(4+4i)

Solution

simplify

\frac{1 + i}{4 + 4 i}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

\frac{1 + i}{4 + 4 i}

Multiply by the conjugate

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

= \frac{( 1 + i ) ( 4 - 4 i )}{( 4 + 4 i ) ( 4 - 4 i )}

Simplify

\frac{( 1 + i ) ( 4 - 4 i )}{( 4 + 4 i ) ( 4 - 4 i )} : \frac{8}{32}

= \frac{8}{32}

Cancel the numbers:

\frac{8}{32} = \frac{1}{4}

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is (1+i)/(4+4i) ?
The solution to (1+i)/(4+4i) is 1/4