Algebra Examples

$3 \times 4 \div 2 + (12 \times 0 - 2)$

Step 1

Remove parentheses.

$3 \cdot 4 \div 2 + 12 \cdot 0 - 2$

Step 2

Multiply $3$ by $4$ .

$12 \div 2 + 12 \cdot 0 - 2$

Step 3

Find the common denominator.

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Step 3.1

Write $12 \cdot 0$ as a fraction with denominator $1$ .

$12 \div 2 + \frac{12 \cdot 0}{1} - 2$

Step 3.2

Multiply $\frac{12 \cdot 0}{1}$ by $\frac{2}{2}$ .

$12 \div 2 + \frac{12 \cdot 0}{1} \cdot \frac{2}{2} - 2$

Step 3.3

Multiply $\frac{12 \cdot 0}{1}$ by $\frac{2}{2}$ .

$12 \div 2 + \frac{12 \cdot 0 \cdot 2}{2} - 2$

Step 3.4

Write $- 2$ as a fraction with denominator $1$ .

$12 \div 2 + \frac{12 \cdot 0 \cdot 2}{2} + \frac{- 2}{1}$

Step 3.5

Multiply $\frac{- 2}{1}$ by $\frac{2}{2}$ .

$12 \div 2 + \frac{12 \cdot 0 \cdot 2}{2} + \frac{- 2}{1} \cdot \frac{2}{2}$

Step 3.6

Multiply $\frac{- 2}{1}$ by $\frac{2}{2}$ .

$12 \div 2 + \frac{12 \cdot 0 \cdot 2}{2} + \frac{- 2 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{12 + 12 \cdot 0 \cdot 2 - 2 \cdot 2}{2}$

Step 5

Simplify each term.

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Step 5.1

Multiply $12 \cdot 0 \cdot 2$ .

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Step 5.1.1

Multiply $12$ by $0$ .

$\frac{12 + 0 \cdot 2 - 2 \cdot 2}{2}$

Step 5.1.2

Multiply $0$ by $2$ .

$\frac{12 + 0 - 2 \cdot 2}{2}$

Step 5.2

Multiply $- 2$ by $2$ .

$\frac{12 + 0 - 4}{2}$

Step 6

Simplify the expression.

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Step 6.1

Add $12$ and $0$ .

$\frac{12 - 4}{2}$

Step 6.2

Subtract $4$ from $12$ .

$\frac{8}{2}$

Step 6.3

Divide $8$ by $2$ .

$4$