Simplify 6/(1-51/x)

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

Simplify the denominator.

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

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

Move the negative in front of the fraction.

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

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

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

Combine the numerators over the common denominator.

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

Multiply the numerator by the reciprocal of the denominator.

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

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

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