What is ((3/(4xy)}{x/y})\frac{2xy)/9 ?

The solution to ((3/(4xy)}{x/y})\frac{2xy)/9 is y/(6x)

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simplify ((3/(4xy)}{x/y})\frac{2xy)/9

simplify

(\frac{\frac{3}{4 x y}}{\frac{x}{y}}) \frac{2 x y}{9}

\frac{y}{6 x}

Solution steps

(\frac{\frac{3}{4 x y}}{\frac{x}{y}}) \frac{2 x y}{9}

Apply rule:

(a) = a

(\frac{\frac{3}{4 x y}}{\frac{x}{y}}) = \frac{\frac{3}{4 x y}}{\frac{x}{y}}

= \frac{\frac{3}{4 x y}}{\frac{x}{y}} \cdot \frac{2 x y}{9}

Simplify

\frac{\frac{3}{4 x y}}{\frac{x}{y}} : \frac{3}{4 x ^{2}}

= \frac{3}{4 x ^{2}} \cdot \frac{2 x y}{9}

Apply the fraction rule:

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

= \frac{3 \cdot 2 x y}{4 x ^{2} \cdot 9}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Factor the number:

4 = 2 \cdot 2

= \frac{2 x y}{2 \cdot 2 x ^{2} \cdot 3}

Cancel the common factor:

2

= \frac{x y}{2 x ^{2} \cdot 3}

Simplify

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

= \frac{y}{2 x \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{y}{6 x}

- 2 (x + 4) 2 - 9 = - 297

\frac{1}{5} (2 x - 10) + 4 x = - 3 (\frac{1}{5} x + 4)

2 x + 14

3^{- 5}

9 x z^{3} + 18 y z^{2} + 24 z^{2}

What is ((3/(4xy)}{x/y})\frac{2xy)/9 ?
The solution to ((3/(4xy)}{x/y})\frac{2xy)/9 is y/(6x)