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Popular >

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

Solution

simplify

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

Solution

2

Solution steps

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

Join

x + \frac{x}{2} : \frac{3 x}{2}

= \frac{\frac{3 x}{2}}{x - \frac{x}{4}}

Join

x - \frac{x}{4} : \frac{3 x}{4}

= \frac{\frac{3 x}{2}}{\frac{3 x}{4}}

Apply the fraction rule:

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

= \frac{3 x \cdot 4}{2 \cdot 3 x}

Cancel

\frac{3 x \cdot 4}{2 \cdot 3 x} : 2

= 2

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Frequently Asked Questions (FAQ)

What is (x+x/2)/(x-x/4) ?
The solution to (x+x/2)/(x-x/4) is 2