Basic Math Examples

$- 18 \div 3 + 5 \cdot 2 - - 6 \div (- 3) - (3 \cdot (7 + 2))$

Step 1

Find the common denominator.

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Step 1.1

Write $5 \cdot 2$ as a fraction with denominator $1$ .

$- 18 \div 3 + \frac{5 \cdot 2}{1} - - 6 \div (- 3) - (3 \cdot (7 + 2))$

Step 1.2

Multiply $\frac{5 \cdot 2}{1}$ by $\frac{3}{3}$ .

$- 18 \div 3 + \frac{5 \cdot 2}{1} \cdot \frac{3}{3} - - 6 \div (- 3) - (3 \cdot (7 + 2))$

Step 1.3

Multiply $\frac{5 \cdot 2}{1}$ by $\frac{3}{3}$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - - 6 \div (- 3) - (3 \cdot (7 + 2))$

Step 1.4

Multiply $- 6 \div (- 3)$ by $\frac{- 1}{- 1}$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - (- 6 \div (- 3) \cdot \frac{- 1}{- 1}) - (3 \cdot (7 + 2))$

Step 1.5

Multiply $- 6 \div (- 3)$ by $\frac{- 1}{- 1}$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - \frac{- 6 \cdot - 1}{- 3 \cdot - 1} - (3 \cdot (7 + 2))$

Step 1.6

Write $- (3 \cdot (7 + 2))$ as a fraction with denominator $1$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - \frac{- 6 \cdot - 1}{- 3 \cdot - 1} + \frac{- (3 \cdot (7 + 2))}{1}$

Step 1.7

Multiply $\frac{- (3 \cdot (7 + 2))}{1}$ by $\frac{3}{3}$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - \frac{- 6 \cdot - 1}{- 3 \cdot - 1} + \frac{- (3 \cdot (7 + 2))}{1} \cdot \frac{3}{3}$

Step 1.8

Multiply $\frac{- (3 \cdot (7 + 2))}{1}$ by $\frac{3}{3}$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - \frac{- 6 \cdot - 1}{- 3 \cdot - 1} + \frac{- (3 \cdot (7 + 2)) \cdot 3}{3}$

Step 1.9

Multiply $- 3$ by $- 1$ .

$- 18 \div 3 + \frac{5 \cdot 2 \cdot 3}{3} - \frac{- 6 \cdot - 1}{3} + \frac{- (3 \cdot (7 + 2)) \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 18 + 5 \cdot 2 \cdot 3 + 6 \cdot - 1 - (3 \cdot (7 + 2)) \cdot 3}{3}$

Step 3

Simplify each term.

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Step 3.1

Multiply $5 \cdot 2 \cdot 3$ .

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Step 3.1.1

Multiply $5$ by $2$ .

$\frac{- 18 + 10 \cdot 3 + 6 \cdot - 1 - (3 \cdot (7 + 2)) \cdot 3}{3}$

Step 3.1.2

Multiply $10$ by $3$ .

$\frac{- 18 + 30 + 6 \cdot - 1 - (3 \cdot (7 + 2)) \cdot 3}{3}$

Step 3.2

Multiply $6$ by $- 1$ .

$\frac{- 18 + 30 - 6 - (3 \cdot (7 + 2)) \cdot 3}{3}$

Step 3.3

Add $7$ and $2$ .

$\frac{- 18 + 30 - 6 - (3 \cdot 9) \cdot 3}{3}$

Step 3.4

Multiply $- (3 \cdot 9) \cdot 3$ .

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Step 3.4.1

Multiply $3$ by $9$ .

$\frac{- 18 + 30 - 6 - 1 \cdot 27 \cdot 3}{3}$

Step 3.4.2

Multiply $- 1$ by $27$ .

$\frac{- 18 + 30 - 6 - 27 \cdot 3}{3}$

Step 3.4.3

Multiply $- 27$ by $3$ .

$\frac{- 18 + 30 - 6 - 81}{3}$

Step 4

Simplify the expression.

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Step 4.1

Add $- 18$ and $30$ .

$\frac{12 - 6 - 81}{3}$

Step 4.2

Subtract $6$ from $12$ .

$\frac{6 - 81}{3}$

Step 4.3

Subtract $81$ from $6$ .

$\frac{- 75}{3}$

Step 4.4

Divide $- 75$ by $3$ .

$- 25$