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Popular >

simplify (a-4+4/a)/(1-2/a)

Solution

simplify

\frac{a - 4 + \frac{4}{a}}{1 - \frac{2}{a}}

Solution

a - 2

Solution steps

\frac{a - 4 + \frac{4}{a}}{1 - \frac{2}{a}}

Join

a - 4 + \frac{4}{a} : \frac{a ^{2} - 4 a + 4}{a}

= \frac{\frac{a ^{2} - 4 a + 4}{a}}{1 - \frac{2}{a}}

Join

1 - \frac{2}{a} : \frac{a - 2}{a}

= \frac{\frac{a ^{2} - 4 a + 4}{a}}{\frac{a - 2}{a}}

Apply the fraction rule:

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

= \frac{( a ^{2} - 4 a + 4 ) a}{a ( a - 2 )}

Cancel

\frac{( a ^{2} - 4 a + 4 ) a}{a ( a - 2 )} : a - 2

= a - 2

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Frequently Asked Questions (FAQ)

What is (a-4+4/a)/(1-2/a) ?
The solution to (a-4+4/a)/(1-2/a) is a-2