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Popular >

simplify 1-1/(1+1/i)

Solution

simplify

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

Solution

\frac{1}{2} - \frac{1}{2} i

Solution steps

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

Simplify

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

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

Join

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

= \frac{1 - i}{2}

Rewrite in standard complex form:

\frac{1}{2} - \frac{1}{2} i

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

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Frequently Asked Questions (FAQ)

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