What is (a/(25)-a/5)/a ?

The solution to (a/(25)-a/5)/a is -4/25

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simplify (a/(25)-a/5)/a

simplify

\frac{\frac{a}{25} - \frac{a}{5}}{a}

- \frac{4}{25}

Solution steps

\frac{\frac{a}{25} - \frac{a}{5}}{a}

Join

\frac{a}{25} - \frac{a}{5} : - \frac{4 a}{25}

= \frac{- \frac{4 a}{25}}{a}

Apply the fraction rule:

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

= - \frac{\frac{4 a}{25}}{a}

Apply the fraction rule:

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

\frac{\frac{4 a}{25}}{a} = \frac{4 a}{25 a}

= - \frac{4 a}{25 a}

Cancel the common factor:

a

= - \frac{4}{25}

x^{2} - 9 x + 8

x^{2} + 3 x - 4 < 0

6 (2 x - 1) (2 x + 1) - 3 (2 x - 1)^{2}

6 a^{2} - ab - 15 b^{2}

b^{3} - \frac{1}{64}