Evaluate 2/3(6-3/2)

$\frac{2}{3} (6 - \frac{3}{2})$

Step 1

To write $6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 2

Combine $6$ and $\frac{2}{2}$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

Multiply $6$ by $2$ .

$\frac{2}{3} \cdot \frac{12 - 3}{2}$

Subtract $3$ from $12$ .

$\frac{2}{3} \cdot \frac{9}{2}$

Step 5

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{3} \cdot \frac{9}{2}$

Rewrite the expression.

$\frac{1}{3} \cdot 9$

Step 6

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{1}{3} \cdot (3 (3))$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 3)$

Rewrite the expression.

$3$