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Popular >

simplify (1+1/z)/(z+1)

Solution

simplify

\frac{1 + \frac{1}{z}}{z + 1}

Solution

\frac{1}{z}

Solution steps

\frac{1 + \frac{1}{z}}{z + 1}

Join

1 + \frac{1}{z} : \frac{z + 1}{z}

= \frac{\frac{z + 1}{z}}{z + 1}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{z + 1}{z ( z + 1 )}

Cancel the common factor:

z + 1

= \frac{1}{z}

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Frequently Asked Questions (FAQ)

What is (1+1/z)/(z+1) ?
The solution to (1+1/z)/(z+1) is 1/z