Precalculus Examples

$\frac{2}{\frac{1}{x} + 3}$

Step 1

Simplify the denominator.

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Step 1.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{2}{\frac{1}{x} + \frac{3 x}{x}}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{2}{\frac{1 + 3 x}{x}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$2 \frac{x}{1 + 3 x}$

Step 3

Combine $2$ and $\frac{x}{1 + 3 x}$ .

$\frac{2 x}{1 + 3 x}$