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Popular >

simplify 1/x+(1/4)/(1/x)

Solution

simplify

\frac{1}{x} + \frac{\frac{1}{4}}{\frac{1}{x}}

Solution

\frac{1}{x} + \frac{x}{4}

Solution steps

\frac{1}{x} + \frac{\frac{1}{4}}{\frac{1}{x}}

Apply the fraction rule:

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

\frac{\frac{1}{4}}{\frac{1}{x}} = \frac{1 \cdot x}{4 \cdot 1}

= \frac{1}{x} + \frac{1 \cdot x}{4 \cdot 1}

Apply rule:

a \cdot 1 = a

\frac{1 \cdot x}{4 \cdot 1} = \frac{x}{4}

= \frac{1}{x} + \frac{x}{4}

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Frequently Asked Questions (FAQ)

What is 1/x+(1/4)/(1/x) ?
The solution to 1/x+(1/4)/(1/x) is 1/x+x/4