What is (\frac{3a)/(4b)}{(9b)/(20a)} ?

The solution to (\frac{3a)/(4b)}{(9b)/(20a)} is (5a^2)/(3b^2)

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simplify (\frac{3a)/(4b)}{(9b)/(20a)}

simplify

\frac{\frac{3 a}{4 b}}{\frac{9 b}{20 a}}

\frac{5 a ^{2}}{3 b ^{2}}

Solution steps

\frac{\frac{3 a}{4 b}}{\frac{9 b}{20 a}}

Apply the fraction rule:

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

= \frac{3 a \cdot 20 a}{4 b \cdot 9 b}

Cancel

\frac{3 a \cdot 20 a}{4 b \cdot 9 b} : \frac{a ^{2} \cdot 5}{b ^{2} \cdot 3}

= \frac{a ^{2} \cdot 5}{b ^{2} \cdot 3}

= \frac{5 a ^{2}}{3 b ^{2}}

(- 3 x^{2} + x^{4} + x) + (2 x^{4} - 7 + 4 x)

32 - 8 + 372 - 3200

(5^{3})^{5}

5 x^{2} (2 x^{2} - 6 x + 7)

56 \cdot 48

What is (\frac{3a)/(4b)}{(9b)/(20a)} ?
The solution to (\frac{3a)/(4b)}{(9b)/(20a)} is (5a^2)/(3b^2)