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Popular >

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

Solution

simplify

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

Solution

\frac{x}{2}

Solution steps

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

Apply rule:

(a) = a

(\frac{2}{x} - 5) = \frac{2}{x} - 5

= \frac{1}{\frac{2}{x} - 5 + 5}

Join

\frac{2}{x} - 5 + 5 : \frac{2}{x}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x}{2}

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Frequently Asked Questions (FAQ)

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