Basic Math Examples

$17 - (6 - 18 \div 6 + 3)$

Step 1

Simplify each term.

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Step 1.1

Find the common denominator.

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Step 1.1.1

Write $6$ as a fraction with denominator $1$ .

$17 - (\frac{6}{1} - 18 \div 6 + 3)$

Step 1.1.2

Multiply $\frac{6}{1}$ by $\frac{6}{6}$ .

$17 - (\frac{6}{1} \cdot \frac{6}{6} - 18 \div 6 + 3)$

Step 1.1.3

Multiply $\frac{6}{1}$ by $\frac{6}{6}$ .

$17 - (\frac{6 \cdot 6}{6} - 18 \div 6 + 3)$

Step 1.1.4

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

$17 - (\frac{6 \cdot 6}{6} - 18 \div 6 + \frac{3}{1})$

Step 1.1.5

Multiply $\frac{3}{1}$ by $\frac{6}{6}$ .

$17 - (\frac{6 \cdot 6}{6} - 18 \div 6 + \frac{3}{1} \cdot \frac{6}{6})$

Step 1.1.6

Multiply $\frac{3}{1}$ by $\frac{6}{6}$ .

$17 - (\frac{6 \cdot 6}{6} - 18 \div 6 + \frac{3 \cdot 6}{6})$

Step 1.2

Combine the numerators over the common denominator.

$17 - \frac{6 \cdot 6 - 18 + 3 \cdot 6}{6}$

Step 1.3

Simplify each term.

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Step 1.3.1

Multiply $6$ by $6$ .

$17 - \frac{36 - 18 + 3 \cdot 6}{6}$

Step 1.3.2

Multiply $3$ by $6$ .

$17 - \frac{36 - 18 + 18}{6}$

Step 1.4

Subtract $18$ from $36$ .

$17 - \frac{18 + 18}{6}$

Step 1.5

Add $18$ and $18$ .

$17 - \frac{36}{6}$

Step 1.6

Divide $36$ by $6$ .

$17 - 1 \cdot 6$

Step 1.7

Multiply $- 1$ by $6$ .

$17 - 6$

Step 2

Subtract $6$ from $17$ .

$11$