Basic Math Examples

$- 72 \div (- 3) \div (- 6) \div (- 2) + 4 \cdot - 2 \cdot - 5$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{- 72 \div (- 3) \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.2

Cancel the common factor of $- 72$ and $- 3$ .

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Step 1.2.1

Factor $- 3$ out of $- 72$ .

$\frac{- 3 (24) \div (- 3) \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $- 3$ out of $- 3$ .

$\frac{- 3 \cdot 24 \div (- 3 \cdot 1) \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.2.2.2

Cancel the common factor.

$\frac{- 3 \cdot 24 \div (- 3 \cdot 1) \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.2.2.3

Rewrite the expression.

$\frac{\frac{24}{1} \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.2.2.4

Divide $24$ by $1$ .

$\frac{24 \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.3

Cancel the common factor of $24$ and $- 6$ .

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Step 1.3.1

Factor $6$ out of $24$ .

$\frac{6 (4) \div (- 6)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.3.2

Move the negative one from the denominator of $\frac{4}{- 1}$ .

$\frac{- 1 \cdot 4}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.4

Cancel the common factor of $4$ and $- 2$ .

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Step 1.4.1

Factor $2$ out of $- 1 \cdot 4$ .

$\frac{2 (- 1 \cdot 2)}{- 2} + 4 \cdot - 2 \cdot - 5$

Step 1.4.2

Move the negative one from the denominator of $\frac{- 1 \cdot 2}{- 1}$ .

$- 1 \cdot (- 1 \cdot 2) + 4 \cdot - 2 \cdot - 5$

Step 1.5

Rewrite $- 1 \cdot (- 1 \cdot 2)$ as $- (- 1 \cdot 2)$ .

$- (- 1 \cdot 2) + 4 \cdot - 2 \cdot - 5$

Step 1.6

Multiply $- (- 1 \cdot 2)$ .

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Step 1.6.1

Multiply $- 1$ by $2$ .

$- - 2 + 4 \cdot - 2 \cdot - 5$

Step 1.6.2

Multiply $- 1$ by $- 2$ .

$2 + 4 \cdot - 2 \cdot - 5$

Step 1.7

Multiply $4 \cdot - 2 \cdot - 5$ .

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Step 1.7.1

Multiply $4$ by $- 2$ .

$2 - 8 \cdot - 5$

Step 1.7.2

Multiply $- 8$ by $- 5$ .

$2 + 40$

Step 2

Add $2$ and $40$ .

$42$