Evaluate 6÷(|5-7|)*6

$6 \div | 5 - 7 | \cdot 6$

Step 1

Simplify the denominator.

Subtract $7$ from $5$ .

$6 \div | - 2 | \cdot 6$

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$6 \div 2 \cdot 6$

Step 2

Simplify the expression.

Divide $6$ by $2$ .

$3 \cdot 6$

Multiply $3$ by $6$ .

$18$