Evaluate 1/3x(9y-12)

$\frac{1}{3} x (9 y - 12)$

Step 1

Apply the distributive property.

$\frac{1}{3} \cdot (x (9 y) + x \cdot - 12)$

Step 2

Reorder.

Rewrite using the commutative property of multiplication.

$\frac{1}{3} \cdot (9 x y + x \cdot - 12)$

Move $- 12$ to the left of $x$ .

$\frac{1}{3} \cdot (9 x y - 12 \cdot x)$

$\frac{1}{3} \cdot (9 x y - 12 \cdot x)$

Step 3

Apply the distributive property.

$\frac{1}{3} (9 x y) + \frac{1}{3} (- 12 x)$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $9 x y$ .

$\frac{1}{3} (3 (3 x y)) + \frac{1}{3} (- 12 x)$

Cancel the common factor.

$\frac{1}{3} (3 (3 x y)) + \frac{1}{3} (- 12 x)$

Rewrite the expression.

$3 x y + \frac{1}{3} (- 12 x)$

$3 x y + \frac{1}{3} (- 12 x)$

Step 5

Cancel the common factor of $3$ .

Factor $3$ out of $- 12 x$ .

$3 x y + \frac{1}{3} (3 (- 4 x))$

Cancel the common factor.

$3 x y + \frac{1}{3} (3 (- 4 x))$

Rewrite the expression.

$3 x y - 4 x$

$3 x y - 4 x$

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