Simplify (11(3+9))÷(|6(15-4)|)

$11 \cdot (3 + 9) \div | 6 \cdot (15 - 4) |$

Step 1

Rewrite the division as a fraction.

$\frac{11 \cdot (3 + 9)}{| 6 \cdot (15 - 4) |}$

Step 2

Add $3$ and $9$ .

$\frac{11 \cdot 12}{| 6 \cdot (15 - 4) |}$

Step 3

Simplify the denominator.

Subtract $4$ from $15$ .

$\frac{11 \cdot 12}{| 6 \cdot 11 |}$

Multiply $6$ by $11$ .

$\frac{11 \cdot 12}{| 66 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $66$ is $66$ .

$\frac{11 \cdot 12}{66}$

Step 4

Simplify the expression.

Multiply $11$ by $12$ .

$\frac{132}{66}$

Divide $132$ by $66$ .

$2$

Simplify (11*(3+9))÷(|6*(15-4)|)