Evaluate 1/3(21)-1-1/2*12

$\frac{1}{3} (21) - 1 - \frac{1}{2} \cdot 12$

Step 1

Simplify each term.

Cancel the common factor of $3$ .

Factor $3$ out of $21$ .

$\frac{1}{3} \cdot (3 (7)) - 1 - \frac{1}{2} \cdot 12$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 7) - 1 - \frac{1}{2} \cdot 12$

Rewrite the expression.

$7 - 1 - \frac{1}{2} \cdot 12$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$7 - 1 + \frac{- 1}{2} \cdot 12$

Factor $2$ out of $12$ .

$7 - 1 + \frac{- 1}{2} \cdot (2 (6))$

Cancel the common factor.

$7 - 1 + \frac{- 1}{2} \cdot (2 \cdot 6)$

Rewrite the expression.

$7 - 1 - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$7 - 1 - 6$

Step 2

Simplify by subtracting numbers.

Subtract $1$ from $7$ .

$6 - 6$

Subtract $6$ from $6$ .

$0$