Evaluate (8+24)÷(12*4)

$(8 + 24) \div (12 \cdot 4)$

Rewrite the division as a fraction.

$\frac{8 + 24}{12 \cdot 4}$

Cancel the common factor of $8 + 24$ and $12$ .

Factor $4$ out of $8$ .

$\frac{4 (2) + 24}{12 \cdot 4}$

Factor $4$ out of $24$ .

$\frac{4 \cdot 2 + 4 \cdot 6}{12 \cdot 4}$

Factor $4$ out of $4 \cdot 2 + 4 \cdot 6$ .

$\frac{4 \cdot (2 + 6)}{12 \cdot 4}$

Cancel the common factors.

Factor $4$ out of $12 \cdot 4$ .

$\frac{4 \cdot (2 + 6)}{4 (3 \cdot 4)}$

Cancel the common factor.

$\frac{4 \cdot (2 + 6)}{4 (3 \cdot 4)}$

Rewrite the expression.

$\frac{2 + 6}{3 \cdot 4}$

$\frac{2 + 6}{3 \cdot 4}$

$\frac{2 + 6}{3 \cdot 4}$

Cancel the common factor of $2 + 6$ and $4$ .

Factor $2$ out of $2$ .

$\frac{2 (1) + 6}{3 \cdot 4}$

Factor $2$ out of $6$ .

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

Factor $2$ out of $2 \cdot 1 + 2 \cdot 3$ .

$\frac{2 \cdot (1 + 3)}{3 \cdot 4}$

Cancel the common factors.

Factor $2$ out of $3 \cdot 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify the expression.

Add $1$ and $3$ .

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

Multiply $3$ by $2$ .

$\frac{4}{6}$

$\frac{4}{6}$

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4$ .

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

Cancel the common factors.

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2}{3}$

$\frac{2}{3}$

$\frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

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