Simplify (21a+18)/3+(28a-20)/4

$\frac{21 a + 18}{3} + \frac{28 a - 20}{4}$

Simplify each term.

Cancel the common factor of $21 a + 18$ and $3$ .

Factor $3$ out of $21 a$ .

$\frac{3 (7 a) + 18}{3} + \frac{28 a - 20}{4}$

Factor $3$ out of $18$ .

$\frac{3 (7 a) + 3 \cdot 6}{3} + \frac{28 a - 20}{4}$

Factor $3$ out of $3 (7 a) + 3 (6)$ .

$\frac{3 (7 a + 6)}{3} + \frac{28 a - 20}{4}$

Cancel the common factors.

Factor $3$ out of $3$ .

$\frac{3 (7 a + 6)}{3 (1)} + \frac{28 a - 20}{4}$

Cancel the common factor.

$\frac{3 (7 a + 6)}{3 \cdot 1} + \frac{28 a - 20}{4}$

Rewrite the expression.

$\frac{7 a + 6}{1} + \frac{28 a - 20}{4}$

Divide $7 a + 6$ by $1$ .

$7 a + 6 + \frac{28 a - 20}{4}$

Cancel the common factor of $28 a - 20$ and $4$ .

Factor $4$ out of $28 a$ .

$7 a + 6 + \frac{4 (7 a) - 20}{4}$

Factor $4$ out of $- 20$ .

$7 a + 6 + \frac{4 (7 a) + 4 \cdot - 5}{4}$

Factor $4$ out of $4 (7 a) + 4 (- 5)$ .

$7 a + 6 + \frac{4 (7 a - 5)}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$7 a + 6 + \frac{4 (7 a - 5)}{4 (1)}$

Cancel the common factor.

$7 a + 6 + \frac{4 (7 a - 5)}{4 \cdot 1}$

Rewrite the expression.

$7 a + 6 + \frac{7 a - 5}{1}$

Divide $7 a - 5$ by $1$ .

$7 a + 6 + 7 a - 5$

Simplify by adding terms.

Add $7 a$ and $7 a$ .

$14 a + 6 - 5$

Subtract $5$ from $6$ .

$14 a + 1$