What is (\frac{15x^2)/(45x^3)}{(5x^6)/(9x^4)} ?

The solution to (\frac{15x^2)/(45x^3)}{(5x^6)/(9x^4)} is 3/(5x^3)

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simplify (\frac{15x^2)/(45x^3)}{(5x^6)/(9x^4)}

simplify

\frac{\frac{15 x ^{2}}{45 x ^{3}}}{\frac{5 x ^{6}}{9 x ^{4}}}

\frac{3}{5 x ^{3}}

Solution steps

\frac{\frac{15 x ^{2}}{45 x ^{3}}}{\frac{5 x ^{6}}{9 x ^{4}}}

Apply the fraction rule:

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

= \frac{15 x ^{2} \cdot 9 x ^{4}}{45 x ^{3} \cdot 5 x ^{6}}

Cancel

\frac{15 x ^{2} \cdot 9 x ^{4}}{45 x ^{3} \cdot 5 x ^{6}} : \frac{3}{x ^{3} \cdot 5}

= \frac{3}{x ^{3} \cdot 5}

= \frac{3}{5 x ^{3}}

4 x \cdot 2 x

\frac{x ^{4} - 16}{x - 2}

(3 t^{2} - 5 t + 6) + (- 8 t^{2} + 7 t - 9)

(x - 1) 2

\frac{8}{14}

What is (\frac{15x^2)/(45x^3)}{(5x^6)/(9x^4)} ?
The solution to (\frac{15x^2)/(45x^3)}{(5x^6)/(9x^4)} is 3/(5x^3)