Simplify 1/7+3/(8x)

$\frac{1}{7} + \frac{3}{8 x}$

To write $\frac{1}{7}$ as a fraction with a common denominator, multiply by $\frac{8 x}{8 x}$ .

$\frac{1}{7} \cdot \frac{8 x}{8 x} + \frac{3}{8 x}$

To write $\frac{3}{8 x}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{1}{7} \cdot \frac{8 x}{8 x} + \frac{3}{8 x} \cdot \frac{7}{7}$

Write each expression with a common denominator of $56 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{7}$ by $\frac{8 x}{8 x}$ .

$\frac{8 x}{7 (8 x)} + \frac{3}{8 x} \cdot \frac{7}{7}$

Multiply $8$ by $7$ .

$\frac{8 x}{56 x} + \frac{3}{8 x} \cdot \frac{7}{7}$

Multiply $\frac{3}{8 x}$ by $\frac{7}{7}$ .

$\frac{8 x}{56 x} + \frac{3 \cdot 7}{8 x \cdot 7}$

Multiply $7$ by $8$ .

$\frac{8 x}{56 x} + \frac{3 \cdot 7}{56 x}$

Combine the numerators over the common denominator.

$\frac{8 x + 3 \cdot 7}{56 x}$

Multiply $3$ by $7$ .

$\frac{8 x + 21}{56 x}$