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Popular >

simplify (b-1)/(a-a/b)

Solution

simplify

\frac{b - 1}{a - \frac{a}{b}}

Solution

\frac{b}{a}

Solution steps

\frac{b - 1}{a - \frac{a}{b}}

Join

a - \frac{a}{b} : \frac{ab - a}{b}

= \frac{b - 1}{\frac{ab - a}{b}}

Apply the fraction rule:

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

= \frac{( b - 1 ) b}{ab - a}

Cancel

\frac{( b - 1 ) b}{ab - a} : \frac{b}{a}

= \frac{b}{a}

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Frequently Asked Questions (FAQ)

What is (b-1)/(a-a/b) ?
The solution to (b-1)/(a-a/b) is b/a