Simplify 16/(5x)-6/5

$\frac{16}{5 x} - \frac{6}{5}$

Step 1

To write $- \frac{6}{5}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{16}{5 x} - \frac{6}{5} \cdot \frac{x}{x}$

Step 2

Multiply $\frac{6}{5}$ by $\frac{x}{x}$ .

$\frac{16}{5 x} - \frac{6 x}{5 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{16 - 6 x}{5 x}$

Step 4

Factor $2$ out of $16 - 6 x$ .

Factor $2$ out of $16$ .

$\frac{2 (8) - 6 x}{5 x}$

Factor $2$ out of $- 6 x$ .

$\frac{2 (8) + 2 (- 3 x)}{5 x}$

Factor $2$ out of $2 (8) + 2 (- 3 x)$ .

$\frac{2 (8 - 3 x)}{5 x}$