What is ((5x^3)/4)/((15x)/8) ?

The solution to ((5x^3)/4)/((15x)/8) is (2x^2)/3

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simplify ((5x^3)/4)/((15x)/8)

simplify

\frac{\frac{5 x ^{3}}{4}}{\frac{15 x}{8}}

\frac{2 x ^{2}}{3}

Solution steps

\frac{\frac{5 x ^{3}}{4}}{\frac{15 x}{8}}

Apply the fraction rule:

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

= \frac{5 x ^{3} \cdot 8}{4 \cdot 15 x}

Cancel

\frac{5 x ^{3} \cdot 8}{4 \cdot 15 x} : \frac{x ^{2} \cdot 2}{3}

= \frac{x ^{2} \cdot 2}{3}

= \frac{2 x ^{2}}{3}

(x - 8) (x + 6)

x^{\frac{- 1}{3}}

- 6 \cdot (- 3)

\frac{1}{n - 1} - \frac{1}{n ^{2} - 2 n + 1} + n

5 x y - 3 x + 4 x y