Simplify 1/4(3q+12)

$\frac{1}{4} (3 q + 12)$

Apply the distributive property.

$\frac{1}{4} (3 q) + \frac{1}{4} \cdot 12$

Multiply $\frac{1}{4} (3 q)$ .

Combine $3$ and $\frac{1}{4}$ .

$\frac{3}{4} q + \frac{1}{4} \cdot 12$

Combine $\frac{3}{4}$ and $q$ .

$\frac{3 q}{4} + \frac{1}{4} \cdot 12$

$\frac{3 q}{4} + \frac{1}{4} \cdot 12$

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$\frac{3 q}{4} + \frac{1}{4} \cdot (4 (3))$

Cancel the common factor.

$\frac{3 q}{4} + \frac{1}{4} \cdot (4 \cdot 3)$

Rewrite the expression.

$\frac{3 q}{4} + 3$

$\frac{3 q}{4} + 3$

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