en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{3}{2} - \frac{5}{2} i

Solution steps

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

\frac{1}{i} = - i

\frac{3}{1 + i} = \frac{3 - 3 i}{2}

= - i + \frac{3 - 3 i}{2}

Join

- i + \frac{3 - 3 i}{2} : \frac{- 5 i + 3}{2}

= \frac{- 5 i + 3}{2}

Rewrite in standard complex form:

\frac{3}{2} - \frac{5}{2} i

= \frac{3}{2} - \frac{5}{2} i

Popular Examples

simplify 1/(sqrt(x+4))simplify

\frac{1}{x + 4}

simplify 4/3+6/5 simplify

\frac{4}{3} + \frac{6}{5}

simplify sqrt(1^2+(-\sqrt{3))^2}simplify

1^{2} + (- 3)^{2}

simplify 6(7q+7)simplify

6 (7 q + 7)

simplify sqrt(12)-sqrt(75)simplify

12 - 75

Frequently Asked Questions (FAQ)

What is 1/i+3/(1+i) ?
The solution to 1/i+3/(1+i) is 3/2-5/2 i