What is (1/a+1/b)/(1/a-1/b) ?

The solution to (1/a+1/b)/(1/a-1/b) is (b+a)/(b-a)

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

simplify

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

\frac{b + a}{b - a}

Solution steps

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

Join

\frac{1}{a} + \frac{1}{b} : \frac{b + a}{ab}

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

Join

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

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

Apply the fraction rule:

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

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

Cancel

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

= \frac{b + a}{b - a}

a - a

x^{2 - 6 x}

\frac{1}{- \frac{8}{17}}

\frac{17 b ^{2}}{36} = 0.125900416

\frac{( a ^{2} ) ^{2}}{a ^{\frac{3}{2}} b ^{\frac{1}{2}} \cdot b}

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