Algebra Examples

$\frac{6}{1 - 5 \frac{1}{x}}$

Step 1

Simplify the denominator.

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Step 1.1

Combine $- 5$ and $\frac{1}{x}$ .

$\frac{6}{1 + \frac{- 5}{x}}$

Step 1.2

Move the negative in front of the fraction.

$\frac{6}{1 - \frac{5}{x}}$

Step 1.3

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

$\frac{6}{\frac{x}{x} - \frac{5}{x}}$

Step 1.4

Combine the numerators over the common denominator.

$\frac{6}{\frac{x - 5}{x}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$6 \frac{x}{x - 5}$

Step 3

Combine $6$ and $\frac{x}{x - 5}$ .

$\frac{6 x}{x - 5}$