What is (\frac{5m^2)/(7n^3)}{(10m^4)/(14an^4)} ?

The solution to (\frac{5m^2)/(7n^3)}{(10m^4)/(14an^4)} is (an)/(m^2)

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simplify (\frac{5m^2)/(7n^3)}{(10m^4)/(14an^4)}

simplify

\frac{\frac{5 m ^{2}}{7 n ^{3}}}{\frac{10 m ^{4}}{14 a n ^{4}}}

\frac{an}{m ^{2}}

Solution steps

\frac{\frac{5 m ^{2}}{7 n ^{3}}}{\frac{10 m ^{4}}{14 a n ^{4}}}

Apply the fraction rule:

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

= \frac{5 m ^{2} \cdot 14 a n ^{4}}{7 n ^{3} \cdot 10 m ^{4}}

Cancel

\frac{5 m ^{2} \cdot 14 a n ^{4}}{7 n ^{3} \cdot 10 m ^{4}} : \frac{an}{m ^{2}}

= \frac{an}{m ^{2}}

- \frac{2 3}{3}

2 - 8 + 18

2 \times (- 5)

72 \div 8

(2 - y)^{3}

What is (\frac{5m^2)/(7n^3)}{(10m^4)/(14an^4)} ?
The solution to (\frac{5m^2)/(7n^3)}{(10m^4)/(14an^4)} is (an)/(m^2)