What is ((\frac{3x+y)/(2xy))}{((5x)/(x+2))} ?

The solution to ((\frac{3x+y)/(2xy))}{((5x)/(x+2))} is ((3x+y)(x+2))/(10x^2y)

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simplify ((\frac{3x+y)/(2xy))}{((5x)/(x+2))}

simplify

\frac{( \frac{3 x + y}{2 x y} )}{( \frac{5 x}{x + 2} )}

\frac{( 3 x + y ) ( x + 2 )}{10 x ^{2} y}

Solution steps

\frac{\frac{3 x + y}{2 x y}}{\frac{5 x}{x + 2}}

Apply the fraction rule:

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

= \frac{( 3 x + y ) ( x + 2 )}{2 x y \cdot 5 x}

Simplify

2 x y \cdot 5 x : 10 x^{2} y

= \frac{( 3 x + y ) ( x + 2 )}{10 x ^{2} y}

∣ 10 x + 2 ∣ > 5

3 x - 15 > 3

2 π \cdot 60

8 (2 x + 9) = 56

- x^{2} + 28 x > 0

What is ((\frac{3x+y)/(2xy))}{((5x)/(x+2))} ?
The solution to ((\frac{3x+y)/(2xy))}{((5x)/(x+2))} is ((3x+y)(x+2))/(10x^2y)