Simplify 1/6(3/5x+18)

$\frac{1}{6} (\frac{3}{5} x + 18)$

Step 1

Combine $\frac{3}{5}$ and $x$ .

$\frac{1}{6} \cdot (\frac{3 x}{5} + 18)$

Step 2

Apply the distributive property.

$\frac{1}{6} \cdot \frac{3 x}{5} + \frac{1}{6} \cdot 18$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{1}{3 (2)} \cdot \frac{3 x}{5} + \frac{1}{6} \cdot 18$

Factor $3$ out of $3 x$ .

$\frac{1}{3 (2)} \cdot \frac{3 (x)}{5} + \frac{1}{6} \cdot 18$

Cancel the common factor.

$\frac{1}{3 \cdot 2} \cdot \frac{3 x}{5} + \frac{1}{6} \cdot 18$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{x}{5} + \frac{1}{6} \cdot 18$

Step 4

Multiply $\frac{1}{2}$ by $\frac{x}{5}$ .

$\frac{x}{2 \cdot 5} + \frac{1}{6} \cdot 18$

Step 5

Multiply $2$ by $5$ .

$\frac{x}{10} + \frac{1}{6} \cdot 18$

Step 6

Cancel the common factor of $6$ .

Factor $6$ out of $18$ .

$\frac{x}{10} + \frac{1}{6} \cdot (6 (3))$

Cancel the common factor.

$\frac{x}{10} + \frac{1}{6} \cdot (6 \cdot 3)$

Rewrite the expression.

$\frac{x}{10} + 3$