Basic Math Examples

$- 40 + 75 \div (- 10 - 5) + 96 \div (- 3 + 5)$

Step 1

Find the common denominator.

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Step 1.1

Subtract $5$ from $- 10$ .

$- 40 + 75 \div (- 15) + 96 \div (- 3 + 5)$

Step 1.2

Add $- 3$ and $5$ .

$- 40 + 75 \div (- 15) + 96 \div 2$

Step 1.3

Write $- 40$ as a fraction with denominator $1$ .

$\frac{- 40}{1} + 75 \div (- 15) + 96 \div 2$

Step 1.4

Multiply $\frac{- 40}{1}$ by $\frac{30}{30}$ .

$\frac{- 40}{1} \cdot \frac{30}{30} + 75 \div (- 15) + 96 \div 2$

Step 1.5

Multiply $\frac{- 40}{1}$ by $\frac{30}{30}$ .

$\frac{- 40 \cdot 30}{30} + 75 \div (- 15) + 96 \div 2$

Step 1.6

Multiply $75 \div (- 15)$ by $\frac{- 2}{- 2}$ .

$\frac{- 40 \cdot 30}{30} + 75 \div (- 15) \cdot \frac{- 2}{- 2} + 96 \div 2$

Step 1.7

Multiply $75 \div (- 15)$ by $\frac{- 2}{- 2}$ .

$\frac{- 40 \cdot 30}{30} + \frac{75 \cdot - 2}{- 15 \cdot - 2} + 96 \div 2$

Step 1.8

Multiply $96 \div 2$ by $\frac{15}{15}$ .

$\frac{- 40 \cdot 30}{30} + \frac{75 \cdot - 2}{- 15 \cdot - 2} + 96 \div 2 \cdot \frac{15}{15}$

Step 1.9

Multiply $96 \div 2$ by $\frac{15}{15}$ .

$\frac{- 40 \cdot 30}{30} + \frac{75 \cdot - 2}{- 15 \cdot - 2} + \frac{96 \cdot 15}{2 \cdot 15}$

Step 1.10

Multiply $- 15$ by $- 2$ .

$\frac{- 40 \cdot 30}{30} + \frac{75 \cdot - 2}{30} + \frac{96 \cdot 15}{2 \cdot 15}$

Step 1.11

Multiply $2$ by $15$ .

$\frac{- 40 \cdot 30}{30} + \frac{75 \cdot - 2}{30} + \frac{96 \cdot 15}{30}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 40 \cdot 30 + 75 \cdot - 2 + 96 \cdot 15}{30}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 40$ by $30$ .

$\frac{- 1200 + 75 \cdot - 2 + 96 \cdot 15}{30}$

Step 3.2

Multiply $75$ by $- 2$ .

$\frac{- 1200 - 150 + 96 \cdot 15}{30}$

Step 3.3

Multiply $96$ by $15$ .

$\frac{- 1200 - 150 + 1440}{30}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $150$ from $- 1200$ .

$\frac{- 1350 + 1440}{30}$

Step 4.2

Add $- 1350$ and $1440$ .

$\frac{90}{30}$

Step 4.3

Divide $90$ by $30$ .

$3$