What is ((x/(10)-1/5))/((1/2-1/x)) ?

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

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simplify ((x/(10)-1/5))/((1/2-1/x))

simplify

\frac{( \frac{x}{10} - \frac{1}{5} )}{( \frac{1}{2} - \frac{1}{x} )}

\frac{x}{5}

Solution steps

\frac{\frac{x}{10} - \frac{1}{5}}{\frac{1}{2} - \frac{1}{x}}

Join

\frac{x}{10} - \frac{1}{5} : \frac{x - 2}{10}

= \frac{\frac{x - 2}{10}}{\frac{1}{2} - \frac{1}{x}}

Join

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

= \frac{\frac{x - 2}{10}}{\frac{x - 2}{2 x}}

Apply the fraction rule:

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

= \frac{( x - 2 ) \cdot 2 x}{10 ( x - 2 )}

Cancel

\frac{( x - 2 ) \cdot 2 x}{10 ( x - 2 )} : \frac{x}{5}

= \frac{x}{5}

3 a^{0} - 2 a^{3} + 4

((x^{22})^{x})^{3} + 1

\frac{( ( n - l ) ! ( n - 2 ) ! )}{( ( n ! ) ^{2} )}

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

f (x) 2 x^{3} - 5 x^{2} + 3 x - 15

What is ((x/(10)-1/5))/((1/2-1/x)) ?
The solution to ((x/(10)-1/5))/((1/2-1/x)) is x/5