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

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

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

simplify

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

\frac{a}{a - b}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{a}{a - b}

8 \geq x

40 x^{4} y m^{7} z - 20 x^{5} y^{5} m^{2} z + 20 x y^{2} m

2 \cdot \frac{1}{5}

\frac{64}{25}

4 b + 6 = - 2