What is (5/x+1/(2y))/(1/2) ?

The solution to (5/x+1/(2y))/(1/2) is (10)/x+1/y

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simplify (5/x+1/(2y))/(1/2)

simplify

\frac{\frac{5}{x} + \frac{1}{2 y}}{\frac{1}{2}}

\frac{10}{x} + \frac{1}{y}

Solution steps

\frac{\frac{5}{x} + \frac{1}{2 y}}{\frac{1}{2}}

Apply the fraction rule:

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

= \frac{( \frac{5}{x} + \frac{1}{2 y} ) \cdot 2}{1}

Cancel

\frac{( \frac{5}{x} + \frac{1}{2 y} ) \cdot 2}{1} : \frac{10}{x} + \frac{1}{y}

= \frac{10}{x} + \frac{1}{y}

x^{2} - 5 x - 24

(\frac{3 x}{2})^{2}

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

4 x + 4 y + a x + a y

c^{2} - 4 c - 320