Basic Math Examples

$- 8 + 7 \cdot 3 - 12 \div 2$

Step 1

Find the common denominator.

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Step 1.1

Write $- 8$ as a fraction with denominator $1$ .

$\frac{- 8}{1} + 7 \cdot 3 - 12 \div 2$

Step 1.2

Multiply $\frac{- 8}{1}$ by $\frac{2}{2}$ .

$\frac{- 8}{1} \cdot \frac{2}{2} + 7 \cdot 3 - 12 \div 2$

Step 1.3

Multiply $\frac{- 8}{1}$ by $\frac{2}{2}$ .

$\frac{- 8 \cdot 2}{2} + 7 \cdot 3 - 12 \div 2$

Step 1.4

Write $7 \cdot 3$ as a fraction with denominator $1$ .

$\frac{- 8 \cdot 2}{2} + \frac{7 \cdot 3}{1} - 12 \div 2$

Step 1.5

Multiply $\frac{7 \cdot 3}{1}$ by $\frac{2}{2}$ .

$\frac{- 8 \cdot 2}{2} + \frac{7 \cdot 3}{1} \cdot \frac{2}{2} - 12 \div 2$

Step 1.6

Multiply $\frac{7 \cdot 3}{1}$ by $\frac{2}{2}$ .

$\frac{- 8 \cdot 2}{2} + \frac{7 \cdot 3 \cdot 2}{2} - 12 \div 2$

Step 2

Combine the numerators over the common denominator.

$\frac{- 8 \cdot 2 + 7 \cdot 3 \cdot 2 - 12}{2}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 8$ by $2$ .

$\frac{- 16 + 7 \cdot 3 \cdot 2 - 12}{2}$

Step 3.2

Multiply $7 \cdot 3 \cdot 2$ .

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Step 3.2.1

Multiply $7$ by $3$ .

$\frac{- 16 + 21 \cdot 2 - 12}{2}$

Step 3.2.2

Multiply $21$ by $2$ .

$\frac{- 16 + 42 - 12}{2}$

Step 4

Simplify the expression.

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Step 4.1

Add $- 16$ and $42$ .

$\frac{26 - 12}{2}$

Step 4.2

Subtract $12$ from $26$ .

$\frac{14}{2}$

Step 4.3

Divide $14$ by $2$ .

$7$