Simplify 7/(9x)+1/(3x)

$\frac{7}{9 x} + \frac{1}{3 x}$

To write $\frac{1}{3 x}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{7}{9 x} + \frac{1}{3 x} \cdot \frac{3}{3}$

Write each expression with a common denominator of $9 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3 x}$ by $\frac{3}{3}$ .

$\frac{7}{9 x} + \frac{3}{3 x \cdot 3}$

Multiply $3$ by $3$ .

$\frac{7}{9 x} + \frac{3}{9 x}$

Combine the numerators over the common denominator.

$\frac{7 + 3}{9 x}$

Add $7$ and $3$ .

$\frac{10}{9 x}$