Basic Math Examples

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

Step 1

Cancel the common factor of $(- 5) (- 2) - 3 \cdot 2$ and $2$ .

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Step 1.1

Factor $- 1$ out of $(- 5) (- 2)$ .

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

Step 1.2

Factor $- 1$ out of $- 3 \cdot 2$ .

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

Step 1.3

Factor $- 1$ out of $- ((5) \cdot - 2) - (3 \cdot 2)$ .

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

Step 1.4

Rewrite $- ((5) \cdot - 2 + 3 \cdot 2)$ as $- 1 ((5) \cdot - 2 + 3 \cdot 2)$ .

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

Step 1.5

Reorder terms.

$\frac{- 1 (2 \cdot 3 - 2 \cdot 5)}{25 \div (2 - 7)}$

Step 1.6

Factor $2$ out of $- 1 (2 \cdot 3 - 2 \cdot 5)$ .

$\frac{2 (- 1 (3 - 1 \cdot 5))}{25 \div (2 - 7)}$

Step 1.7

Cancel the common factors.

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Step 1.7.1

Cancel the common factor.

$\frac{2 (- 1 (3 - 1 \cdot 5))}{25 \div (2 - 7)}$

Step 1.7.2

Rewrite the expression.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Multiply $- 1$ by $5$ .

$- 1 (3 - 5) \frac{2 - 7}{5}$

Step 4

Subtract $5$ from $3$ .

$- 1 \cdot - 2 \frac{2 - 7}{5}$

Step 5

Multiply $- 1$ by $- 2$ .

$2 \frac{2 - 7}{5}$

Step 6

Subtract $7$ from $2$ .

$2 (\frac{- 5}{5})$

Step 7

Divide $- 5$ by $5$ .

$2 \cdot - 1$

Step 8

Multiply $2$ by $- 1$ .

$- 2$