Basic Math Examples

$15 - 3 + (11 - 10 \div 2)$

Step 1

Remove parentheses.

$15 - 3 + 11 - 10 \div 2$

Step 2

Find the common denominator.

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Step 2.1

Write $15$ as a fraction with denominator $1$ .

$\frac{15}{1} - 3 + 11 - 10 \div 2$

Step 2.2

Multiply $\frac{15}{1}$ by $\frac{2}{2}$ .

$\frac{15}{1} \cdot \frac{2}{2} - 3 + 11 - 10 \div 2$

Step 2.3

Multiply $\frac{15}{1}$ by $\frac{2}{2}$ .

$\frac{15 \cdot 2}{2} - 3 + 11 - 10 \div 2$

Step 2.4

Write $- 3$ as a fraction with denominator $1$ .

$\frac{15 \cdot 2}{2} + \frac{- 3}{1} + 11 - 10 \div 2$

Step 2.5

Multiply $\frac{- 3}{1}$ by $\frac{2}{2}$ .

$\frac{15 \cdot 2}{2} + \frac{- 3}{1} \cdot \frac{2}{2} + 11 - 10 \div 2$

Step 2.6

Multiply $\frac{- 3}{1}$ by $\frac{2}{2}$ .

$\frac{15 \cdot 2}{2} + \frac{- 3 \cdot 2}{2} + 11 - 10 \div 2$

Step 2.7

Write $11$ as a fraction with denominator $1$ .

$\frac{15 \cdot 2}{2} + \frac{- 3 \cdot 2}{2} + \frac{11}{1} - 10 \div 2$

Step 2.8

Multiply $\frac{11}{1}$ by $\frac{2}{2}$ .

$\frac{15 \cdot 2}{2} + \frac{- 3 \cdot 2}{2} + \frac{11}{1} \cdot \frac{2}{2} - 10 \div 2$

Step 2.9

Multiply $\frac{11}{1}$ by $\frac{2}{2}$ .

$\frac{15 \cdot 2}{2} + \frac{- 3 \cdot 2}{2} + \frac{11 \cdot 2}{2} - 10 \div 2$

Step 3

Combine the numerators over the common denominator.

$\frac{15 \cdot 2 - 3 \cdot 2 + 11 \cdot 2 - 10}{2}$

Step 4

Simplify each term.

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Step 4.1

Multiply $15$ by $2$ .

$\frac{30 - 3 \cdot 2 + 11 \cdot 2 - 10}{2}$

Step 4.2

Multiply $- 3$ by $2$ .

$\frac{30 - 6 + 11 \cdot 2 - 10}{2}$

Step 4.3

Multiply $11$ by $2$ .

$\frac{30 - 6 + 22 - 10}{2}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $6$ from $30$ .

$\frac{24 + 22 - 10}{2}$

Step 5.2

Add $24$ and $22$ .

$\frac{46 - 10}{2}$

Step 5.3

Subtract $10$ from $46$ .

$\frac{36}{2}$

Step 5.4

Divide $36$ by $2$ .

$18$