Simplify (5a)/(3a^2)+6/(3a^2)+(4a)/(3a^2)

$\frac{5 a}{3 a^{2}} + \frac{6}{3 a^{2}} + \frac{4 a}{3 a^{2}}$

Combine the numerators over the common denominator.

$\frac{5 a + 6 + 4 a}{3 a^{2}}$

Add $5 a$ and $4 a$ .

$\frac{9 a + 6}{3 a^{2}}$

Cancel the common factor of $9 a + 6$ and $3$ .

Factor $3$ out of $9 a$ .

$\frac{3 (3 a) + 6}{3 a^{2}}$

Factor $3$ out of $6$ .

$\frac{3 (3 a) + 3 \cdot 2}{3 a^{2}}$

Factor $3$ out of $3 (3 a) + 3 (2)$ .

$\frac{3 (3 a + 2)}{3 a^{2}}$

Cancel the common factors.

Factor $3$ out of $3 a^{2}$ .

$\frac{3 (3 a + 2)}{3 (a^{2})}$

Cancel the common factor.

$\frac{3 (3 a + 2)}{3 a^{2}}$

Rewrite the expression.

$\frac{3 a + 2}{a^{2}}$