Simplify 18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)

$18 \div 6 + 4 \div 2 - 15 \div (- 3) + 4 + (- 2) \div (- 1)$

Step 1

Find the common denominator.

Multiply $4 \div 2$ by $\frac{3}{3}$ .

$18 \div 6 + 4 \div 2 \cdot \frac{3}{3} - 15 \div (- 3) + 4 + - 2 \div (- 1)$

Multiply $4 \div 2$ by $\frac{3}{3}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - 15 \div (- 3) + 4 + - 2 \div (- 1)$

Multiply $15 \div (- 3)$ by $\frac{- 2}{- 2}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - (15 \div (- 3) \cdot \frac{- 2}{- 2}) + 4 + - 2 \div (- 1)$

Multiply $15 \div (- 3)$ by $\frac{- 2}{- 2}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + 4 + - 2 \div (- 1)$

Write $4$ as a fraction with denominator $1$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + \frac{4}{1} + - 2 \div (- 1)$

Multiply $\frac{4}{1}$ by $\frac{6}{6}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + \frac{4}{1} \cdot \frac{6}{6} + - 2 \div (- 1)$

Multiply $\frac{4}{1}$ by $\frac{6}{6}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + \frac{4 \cdot 6}{6} + - 2 \div (- 1)$

Multiply $- 2 \div (- 1)$ by $\frac{- 6}{- 6}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + \frac{4 \cdot 6}{6} + - 2 \div (- 1) \cdot \frac{- 6}{- 6}$

Multiply $- 2 \div (- 1)$ by $\frac{- 6}{- 6}$ .

$18 \div 6 + \frac{4 \cdot 3}{2 \cdot 3} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + \frac{4 \cdot 6}{6} + \frac{- 2 \cdot - 6}{- - 6}$

Multiply $2$ by $3$ .

$18 \div 6 + \frac{4 \cdot 3}{6} - \frac{15 \cdot - 2}{- 3 \cdot - 2} + \frac{4 \cdot 6}{6} + \frac{- 2 \cdot - 6}{- - 6}$

Multiply $- 3$ by $- 2$ .

$18 \div 6 + \frac{4 \cdot 3}{6} - \frac{15 \cdot - 2}{6} + \frac{4 \cdot 6}{6} + \frac{- 2 \cdot - 6}{- - 6}$

Reorder the factors of $- - 6$ .

$18 \div 6 + \frac{4 \cdot 3}{6} - \frac{15 \cdot - 2}{6} + \frac{4 \cdot 6}{6} + \frac{- 2 \cdot - 6}{- 6 \cdot - 1}$

Multiply $- 6$ by $- 1$ .

$18 \div 6 + \frac{4 \cdot 3}{6} - \frac{15 \cdot - 2}{6} + \frac{4 \cdot 6}{6} + \frac{- 2 \cdot - 6}{6}$

Step 2

Combine the numerators over the common denominator.

$\frac{18 + 4 \cdot 3 - 15 \cdot - 2 + 4 \cdot 6 - 2 \cdot - 6}{6}$

Step 3

Simplify each term.

Multiply $4$ by $3$ .

$\frac{18 + 12 - 15 \cdot - 2 + 4 \cdot 6 - 2 \cdot - 6}{6}$

Multiply $- 15$ by $- 2$ .

$\frac{18 + 12 + 30 + 4 \cdot 6 - 2 \cdot - 6}{6}$

Multiply $4$ by $6$ .

$\frac{18 + 12 + 30 + 24 - 2 \cdot - 6}{6}$

Multiply $- 2$ by $- 6$ .

$\frac{18 + 12 + 30 + 24 + 12}{6}$

Step 4

Simplify the expression.

Add $18$ and $12$ .

$\frac{30 + 30 + 24 + 12}{6}$

Add $30$ and $30$ .

$\frac{60 + 24 + 12}{6}$

Add $60$ and $24$ .

$\frac{84 + 12}{6}$

Add $84$ and $12$ .

$\frac{96}{6}$

Divide $96$ by $6$ .

$16$

Simplify 18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)

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