Simplify 3/(2a)+1/(6a)

$\frac{3}{2 a} + \frac{1}{6 a}$

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

$\frac{3}{2 a} \cdot \frac{3}{3} + \frac{1}{6 a}$

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

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

$\frac{3 \cdot 3}{2 a \cdot 3} + \frac{1}{6 a}$

Multiply $3$ by $2$ .

$\frac{3 \cdot 3}{6 a} + \frac{1}{6 a}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 1}{6 a}$

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{9 + 1}{6 a}$

Add $9$ and $1$ .

$\frac{10}{6 a}$

Cancel the common factor of $10$ and $6$ .

Factor $2$ out of $10$ .

$\frac{2 (5)}{6 a}$

Cancel the common factors.

Factor $2$ out of $6 a$ .

$\frac{2 (5)}{2 (3 a)}$

Cancel the common factor.

$\frac{2 \cdot 5}{2 (3 a)}$

Rewrite the expression.

$\frac{5}{3 a}$