Basic Math Examples

$\frac{(- 8) (- 5) - 6 \cdot 5}{5 (8 \div (5 - 13))}$

Step 1

Cancel the common factor of $(- 8) (- 5) - 6 \cdot 5$ and $5$ .

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Step 1.1

Factor $- 1$ out of $(- 8) (- 5)$ .

$\frac{- ((8) \cdot - 5) - 6 \cdot 5}{5 (8 \div (5 - 13))}$

Step 1.2

Factor $- 1$ out of $- 6 \cdot 5$ .

$\frac{- ((8) \cdot - 5) - (6 \cdot 5)}{5 (8 \div (5 - 13))}$

Step 1.3

Factor $- 1$ out of $- ((8) \cdot - 5) - (6 \cdot 5)$ .

$\frac{- ((8) \cdot - 5 + 6 \cdot 5)}{5 (8 \div (5 - 13))}$

Step 1.4

Rewrite $- ((8) \cdot - 5 + 6 \cdot 5)$ as $- 1 ((8) \cdot - 5 + 6 \cdot 5)$ .

$\frac{- 1 ((8) \cdot - 5 + 6 \cdot 5)}{5 (8 \div (5 - 13))}$

Step 1.5

Reorder terms.

$\frac{- 1 (5 \cdot 6 - 5 \cdot 8)}{58 \div (5 - 13)}$

Step 1.6

Factor $5$ out of $- 1 (5 \cdot 6 - 5 \cdot 8)$ .

$\frac{5 (- 1 (6 - 1 \cdot 8))}{58 \div (5 - 13)}$

Step 1.7

Cancel the common factors.

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Step 1.7.1

Cancel the common factor.

$\frac{5 (- 1 (6 - 1 \cdot 8))}{58 \div (5 - 13)}$

Step 1.7.2

Rewrite the expression.

$\frac{- 1 (6 - 1 \cdot 8)}{8 \div (5 - 13)}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- 1 (6 - 1 \cdot 8) \frac{5 - 13}{8}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 1$ by $8$ .

$- 1 (6 - 8) \frac{5 - 13}{8}$

Step 3.2

Subtract $8$ from $6$ .

$- 1 \cdot - 2 \frac{5 - 13}{8}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

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

$2 (- 1 \cdot - 1) \frac{5 - 13}{8}$

Step 4.2

Factor $2$ out of $8$ .

$2 (- 1 \cdot - 1) \frac{5 - 13}{2 (4)}$

Step 4.3

Cancel the common factor.

$2 (- 1 \cdot - 1) \frac{5 - 13}{2 \cdot 4}$

Step 4.4

Rewrite the expression.

$- 1 \cdot - 1 \frac{5 - 13}{4}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 \frac{5 - 13}{4}$

Step 5.2

Multiply $\frac{5 - 13}{4}$ by $1$ .

$\frac{5 - 13}{4}$

Step 5.3

Subtract $13$ from $5$ .

$\frac{- 8}{4}$

Step 5.4

Divide $- 8$ by $4$ .

$- 2$