Solve (a/b)((1 b/a)/(a/b 1))

Evaluate

\frac{a}{b} \times (\frac{( 1 \times \frac{b}{a} )}{\frac{a}{b} \times 1})

Remove the parentheses

\frac{a}{b} \times (\frac{1 \times \frac{b}{a}}{\frac{a}{b} \times 1})

Reduce the fraction

\frac{a}{b} \times (\frac{\frac{b}{a}}{\frac{a}{b}})

Divide the terms

More Steps

\frac{a}{b} \times \frac{b ^{2}}{a ^{2}}

Cancel out the common factor a

\frac{1}{b} \times \frac{b ^{2}}{a}

Cancel out the common factor b

1 \times \frac{b}{a}

Solution

\frac{b}{a}

Simplify the expression