What is (\frac{15a^3)/(45a^5)}{(5a^7)/(9a^4)} ?

The solution to (\frac{15a^3)/(45a^5)}{(5a^7)/(9a^4)} is 3/(5a^5)

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simplify (\frac{15a^3)/(45a^5)}{(5a^7)/(9a^4)}

simplify

\frac{\frac{15 a ^{3}}{45 a ^{5}}}{\frac{5 a ^{7}}{9 a ^{4}}}

\frac{3}{5 a ^{5}}

Solution steps

\frac{\frac{15 a ^{3}}{45 a ^{5}}}{\frac{5 a ^{7}}{9 a ^{4}}}

Apply the fraction rule:

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

= \frac{15 a ^{3} \cdot 9 a ^{4}}{45 a ^{5} \cdot 5 a ^{7}}

Cancel

\frac{15 a ^{3} \cdot 9 a ^{4}}{45 a ^{5} \cdot 5 a ^{7}} : \frac{3}{a ^{5} \cdot 5}

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

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

- \frac{1}{3} \times 3

\frac{3 x}{4} + \frac{x}{7}

(4 x^{\frac{3}{5}})^{2}

\frac{144}{24}

(9 x - 2)^{2}

What is (\frac{15a^3)/(45a^5)}{(5a^7)/(9a^4)} ?
The solution to (\frac{15a^3)/(45a^5)}{(5a^7)/(9a^4)} is 3/(5a^5)