What is (a^2)/(4/5-4/a) ?

The solution to (a^2)/(4/5-4/a) is (5a^3)/(4a-20)

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simplify (a^2)/(4/5-4/a)

simplify

\frac{a ^{2}}{\frac{4}{5} - \frac{4}{a}}

\frac{5 a ^{3}}{4 a - 20}

Solution steps

\frac{a ^{2}}{\frac{4}{5} - \frac{4}{a}}

Join

\frac{4}{5} - \frac{4}{a} : \frac{4 a - 20}{5 a}

= \frac{a ^{2}}{\frac{4 a - 20}{5 a}}

Apply the fraction rule:

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

= \frac{a ^{2} \cdot 5 a}{4 a - 20}

Simplify

a^{2} a : a^{3}

= \frac{a ^{3} \cdot 5}{4 a - 20}

= \frac{5 a ^{3}}{4 a - 20}

\frac{1200}{2.55 \cdot 1 0 ^{- 5}}

\frac{x}{3} - (- 2) = 16

(\frac{4}{5})^{3}

12 = a (- 3 + 5) (- 3 - 5)

2 x^{2} + 7 x - 17 = 0