Precalculus Examples

$\frac{1}{1 - \frac{1}{x}}$

Step 1

Simplify the denominator.

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Step 1.1

Write $1$ as a fraction with a common denominator.

$\frac{1}{\frac{x}{x} - \frac{1}{x}}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{1}{\frac{x - 1}{x}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 \frac{x}{x - 1}$

Step 3

Multiply $\frac{x}{x - 1}$ by $1$ .

$\frac{x}{x - 1}$