Simplify 5/(6x)-2/3

$\frac{5}{6 x} - \frac{2}{3}$

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{2 x}{2 x}$ .

$\frac{5}{6 x} - \frac{2}{3} \cdot \frac{2 x}{2 x}$

Write each expression with a common denominator of $6 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{3}$ by $\frac{2 x}{2 x}$ .

$\frac{5}{6 x} - \frac{2 (2 x)}{3 (2 x)}$

Multiply $2$ by $3$ .

$\frac{5}{6 x} - \frac{2 (2 x)}{6 x}$

Combine the numerators over the common denominator.

$\frac{5 - 2 (2 x)}{6 x}$

Multiply $- 2$ by $2$ .

$\frac{5 - 4 x}{6 x}$