What is ((\frac{3x^2)/(20)*4y)}{((6xy)/(25))} ?

The solution to ((\frac{3x^2)/(20)*4y)}{((6xy)/(25))} is (5x)/2

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simplify ((\frac{3x^2)/(20)*4y)}{((6xy)/(25))}

simplify

\frac{( \frac{3 x ^{2}}{20} \cdot 4 y )}{( \frac{6 x y}{25} )}

\frac{5 x}{2}

Solution steps

\frac{\frac{3 x ^{2}}{20} \cdot 4 y}{\frac{6 x y}{25}}

Apply the fraction rule:

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

= \frac{\frac{3 x ^{2}}{20} \cdot 4 y \cdot 25}{6 x y}

Cancel the common factor:

y

= \frac{\frac{3 x ^{2}}{20} \cdot 4 \cdot 25}{6 x}

Cancel

\frac{\frac{3 x ^{2}}{20} \cdot 4 \cdot 25}{6 x} : \frac{\frac{3 x ^{2}}{20} \cdot 2 \cdot 25}{3 x}

= \frac{\frac{3 x ^{2}}{20} \cdot 2 \cdot 25}{3 x}

Simplify

\frac{\frac{3 x ^{2}}{20} \cdot 2 \cdot 25}{3 x} : \frac{5 x}{2}

= \frac{5 x}{2}

6 - 54 w = 34 w - 10

x^{2} + 4 x = 12

\frac{5}{9} (F - 32) = 25

(y + 2)^{2} = 9

n^{2} = - 47

What is ((\frac{3x^2)/(20)*4y)}{((6xy)/(25))} ?
The solution to ((\frac{3x^2)/(20)*4y)}{((6xy)/(25))} is (5x)/2