Simplify 8/7-4/(7x)

$\frac{8}{7} - \frac{4}{7 x}$

Step 1

To write $\frac{8}{7}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{8}{7} \cdot \frac{x}{x} - \frac{4}{7 x}$

Step 2

Multiply $\frac{8}{7}$ by $\frac{x}{x}$ .

$\frac{8 x}{7 x} - \frac{4}{7 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{8 x - 4}{7 x}$

Step 4

Factor $4$ out of $8 x - 4$ .

Factor $4$ out of $8 x$ .

$\frac{4 (2 x) - 4}{7 x}$

Factor $4$ out of $- 4$ .

$\frac{4 (2 x) + 4 (- 1)}{7 x}$

Factor $4$ out of $4 (2 x) + 4 (- 1)$ .

$\frac{4 (2 x - 1)}{7 x}$