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Popular >

simplify i/(1+i)

Solution

simplify

\frac{i}{1 + i}

Solution

\frac{1}{2} + \frac{1}{2} i

Solution steps

\frac{i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

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

Simplify

\frac{i ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{i + 1}{2}

= \frac{i + 1}{2}

Rewrite in standard complex form:

\frac{1}{2} + \frac{1}{2} i

= \frac{1}{2} + \frac{1}{2} i

Popular Examples

x-x/3+39/8 = x/4-(2x)/6

x - \frac{x}{3} + \frac{39}{8} = \frac{x}{4} - \frac{2 x}{6}

1>100*((9/10)^n)/((9/10)^1)

1 > 100 \cdot \frac{( \frac{9}{10} ) ^{n}}{( \frac{9}{10} ) ^{1}}

5 x - 4 = 2 (x - 2)

factor x^3-8x^2+2x-16 factor

x^{3} - 8 x^{2} + 2 x - 16

(0.25)(0.5)=(2)(x)

(0.25) (0.5) = (2) (x)

Frequently Asked Questions (FAQ)

What is i/(1+i) ?
The solution to i/(1+i) is 1/2+1/2 i