Pre-Algebra Examples

$12 + 64 \div 8 - 4$

Step 1

Find the common denominator.

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Step 1.1

Write $12$ as a fraction with denominator $1$ .

$\frac{12}{1} + 64 \div 8 - 4$

Step 1.2

Multiply $\frac{12}{1}$ by $\frac{8}{8}$ .

$\frac{12}{1} \cdot \frac{8}{8} + 64 \div 8 - 4$

Step 1.3

Multiply $\frac{12}{1}$ by $\frac{8}{8}$ .

$\frac{12 \cdot 8}{8} + 64 \div 8 - 4$

Step 1.4

Write $- 4$ as a fraction with denominator $1$ .

$\frac{12 \cdot 8}{8} + 64 \div 8 + \frac{- 4}{1}$

Step 1.5

Multiply $\frac{- 4}{1}$ by $\frac{8}{8}$ .

$\frac{12 \cdot 8}{8} + 64 \div 8 + \frac{- 4}{1} \cdot \frac{8}{8}$

Step 1.6

Multiply $\frac{- 4}{1}$ by $\frac{8}{8}$ .

$\frac{12 \cdot 8}{8} + 64 \div 8 + \frac{- 4 \cdot 8}{8}$

Step 2

Combine the numerators over the common denominator.

$\frac{12 \cdot 8 + 64 - 4 \cdot 8}{8}$

Step 3

Simplify each term.

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Step 3.1

Multiply $12$ by $8$ .

$\frac{96 + 64 - 4 \cdot 8}{8}$

Step 3.2

Multiply $- 4$ by $8$ .

$\frac{96 + 64 - 32}{8}$

Step 4

Simplify the expression.

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Step 4.1

Add $96$ and $64$ .

$\frac{160 - 32}{8}$

Step 4.2

Subtract $32$ from $160$ .

$\frac{128}{8}$

Step 4.3

Divide $128$ by $8$ .

$16$