What is ((2/x+4/y))/((2x+y)) ?

The solution to ((2/x+4/y))/((2x+y)) is 2/(xy)

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simplify ((2/x+4/y))/((2x+y))

simplify

\frac{( \frac{2}{x} + \frac{4}{y} )}{( 2 x + y )}

\frac{2}{x y}

Solution steps

\frac{\frac{2}{x} + \frac{4}{y}}{2 x + y}

Join

\frac{2}{x} + \frac{4}{y} : \frac{2 y + 4 x}{x y}

= \frac{\frac{2 y + 4 x}{x y}}{2 x + y}

Apply the fraction rule:

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

= \frac{2 y + 4 x}{x y ( 2 x + y )}

Cancel

\frac{2 y + 4 x}{x y ( 2 x + y )} : \frac{2}{x y}

= \frac{2}{x y}

\frac{( x + 1 + 1 - x )}{x}

a^{2} - x^{2} + 2 x - 1

(5.6 f \cdot 42) + (\frac{50000}{c}) - (0.1234 \cdot 1024)

(a + 2 b)^{3} - b^{3}

(x + 1) (x - 1) (y - 1) (y + 1)