Simplify 2/3(1/4x-6)

$\frac{2}{3} (\frac{1}{4} x - 6)$

Step 1

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

$\frac{2}{3} \cdot (\frac{x}{4} - 6)$

Step 2

Apply the distributive property.

$\frac{2}{3} \cdot \frac{x}{4} + \frac{2}{3} \cdot - 6$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{2}{3} \cdot \frac{x}{2 (2)} + \frac{2}{3} \cdot - 6$

Cancel the common factor.

$\frac{2}{3} \cdot \frac{x}{2 \cdot 2} + \frac{2}{3} \cdot - 6$

Rewrite the expression.

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

Step 4

Multiply $\frac{1}{3}$ by $\frac{x}{2}$ .

$\frac{x}{3 \cdot 2} + \frac{2}{3} \cdot - 6$

Step 5

Multiply $3$ by $2$ .

$\frac{x}{6} + \frac{2}{3} \cdot - 6$

Step 6

Cancel the common factor of $3$ .

Factor $3$ out of $- 6$ .

$\frac{x}{6} + \frac{2}{3} \cdot (3 (- 2))$

Cancel the common factor.

$\frac{x}{6} + \frac{2}{3} \cdot (3 \cdot - 2)$

Rewrite the expression.

$\frac{x}{6} + 2 \cdot - 2$

Step 7

Multiply $2$ by $- 2$ .

$\frac{x}{6} - 4$