Evaluate 8+24÷(12*4)

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

Step 1

Simplify each term.

Rewrite the division as a fraction.

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

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

Factor $12$ out of $24$ .

$8 + \frac{12 \cdot 2}{12 \cdot 4}$

Cancel the common factors.

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

$8 + \frac{12 \cdot 2}{12 (4)}$

Cancel the common factor.

$8 + \frac{12 \cdot 2}{12 \cdot 4}$

Rewrite the expression.

$8 + \frac{2}{4}$

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

Factor $2$ out of $2$ .

$8 + \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$8 + \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$8 + \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$8 + \frac{1}{2}$

Step 2

To write $8$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$8 \cdot \frac{2}{2} + \frac{1}{2}$

Step 3

Combine $8$ and $\frac{2}{2}$ .

$\frac{8 \cdot 2}{2} + \frac{1}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{8 \cdot 2 + 1}{2}$

Step 5

Simplify the numerator.

Multiply $8$ by $2$ .

$\frac{16 + 1}{2}$

Add $16$ and $1$ .

$\frac{17}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{2}$

Decimal Form:

$8.5$

Mixed Number Form:

$8 \frac{1}{2}$

Evaluate 8+24÷(12*4)

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