Evaluate 1/5(15+10k)

$\frac{1}{5} (15 + 10 k)$

Apply the distributive property.

$\frac{1}{5} \cdot 15 + \frac{1}{5} (10 k)$

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$\frac{1}{5} \cdot (5 (3)) + \frac{1}{5} (10 k)$

Cancel the common factor.

$\frac{1}{5} \cdot (5 \cdot 3) + \frac{1}{5} (10 k)$

Rewrite the expression.

$3 + \frac{1}{5} (10 k)$

Cancel the common factor of $5$ .

Factor $5$ out of $10 k$ .

$3 + \frac{1}{5} (5 (2 k))$

Cancel the common factor.

$3 + \frac{1}{5} (5 (2 k))$

Rewrite the expression.

$3 + 2 k$