What is (((5x)/2*(3y)/4))/((\frac{x^2y){12})} ?

The solution to (((5x)/2*(3y)/4))/((\frac{x^2y){12})} is (45)/(2x)

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simplify (((5x)/2*(3y)/4))/((\frac{x^2y){12})}

simplify

\frac{( \frac{5 x}{2} \cdot \frac{3 y}{4} )}{( \frac{x ^{2} y}{12} )}

\frac{45}{2 x}

Solution steps

\frac{\frac{5 x}{2} \cdot \frac{3 y}{4}}{\frac{x ^{2} y}{12}}

Apply the fraction rule:

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

= \frac{\frac{5 x}{2} \cdot \frac{3 y}{4} \cdot 12}{x ^{2} y}

Simplify

\frac{5 x}{2} \cdot \frac{3 y}{4} \cdot 12 : \frac{45 x y}{2}

= \frac{\frac{45 x y}{2}}{x ^{2} y}

Apply the fraction rule:

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

= \frac{45 x y}{2 x ^{2} y}

Simplify

\frac{x}{x ^{2}} : \frac{1}{x}

= \frac{45 y}{2 x y}

Cancel the common factor:

y

= \frac{45}{2 x}

10 y^{2} - 28 y + 18

- 1 \leq \frac{3}{2} z + 2 \leq 5

6 x^{2} + 17 x + 5

\frac{1}{y - x}

8^{3} + 27

What is (((5x)/2*(3y)/4))/((\frac{x^2y){12})} ?
The solution to (((5x)/2*(3y)/4))/((\frac{x^2y){12})} is (45)/(2x)