Evaluate 9/12|1/2|

$\frac{9}{12} | \frac{1}{2} |$

Step 1

Remove non-negative terms from the absolute value.

$\frac{9}{12} \cdot \frac{| 1 |}{2}$

Step 2

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$\frac{9}{12} \cdot \frac{1}{2}$

Step 3

Cancel the common factor of $9$ and $12$ .

Factor $3$ out of $9$ .

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

Cancel the common factors.

Factor $3$ out of $12$ .

$\frac{3 \cdot 3}{3 \cdot 4} \cdot \frac{1}{2}$

Cancel the common factor.

$\frac{3 \cdot 3}{3 \cdot 4} \cdot \frac{1}{2}$

Rewrite the expression.

$\frac{3}{4} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{3}{4} \cdot \frac{1}{2}$ .

Multiply $\frac{3}{4}$ by $\frac{1}{2}$ .

$\frac{3}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{3}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$