Basic Math Examples

$\frac{(- 8) (- 5) - 4 \cdot 5}{5 (\frac{8}{5 - 13})}$

Step 1

Cancel the common factor of $(- 8) (- 5) - 4 \cdot 5$ and $5$ .

Tap for more steps...

Step 1.1

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

$\frac{- ((8) \cdot - 5) - 4 \cdot 5}{5 (\frac{8}{5 - 13})}$

Step 1.2

Factor $- 1$ out of $- 4 \cdot 5$ .

$\frac{- ((8) \cdot - 5) - (4 \cdot 5)}{5 (\frac{8}{5 - 13})}$

Step 1.3

Factor $- 1$ out of $- ((8) \cdot - 5) - (4 \cdot 5)$ .

$\frac{- ((8) \cdot - 5 + 4 \cdot 5)}{5 (\frac{8}{5 - 13})}$

Step 1.4

Rewrite $- ((8) \cdot - 5 + 4 \cdot 5)$ as $- 1 ((8) \cdot - 5 + 4 \cdot 5)$ .

$\frac{- 1 ((8) \cdot - 5 + 4 \cdot 5)}{5 (\frac{8}{5 - 13})}$

Step 1.5

Reorder terms.

$\frac{- 1 (4 \cdot 5 - 5 \cdot 8)}{5 \frac{8}{5 - 13}}$

Step 1.6

Factor $5$ out of $- 1 (4 \cdot 5 - 5 \cdot 8)$ .

$\frac{5 (- 1 (4 - 1 \cdot 8))}{5 \frac{8}{5 - 13}}$

Step 1.7

Cancel the common factors.

Tap for more steps...

Step 1.7.1

Cancel the common factor.

$\frac{5 (- 1 (4 - 1 \cdot 8))}{5 \frac{8}{5 - 13}}$

Step 1.7.2

Rewrite the expression.

$\frac{- 1 (4 - 1 \cdot 8)}{\frac{8}{5 - 13}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- 1 (4 - 1 \cdot 8) \frac{5 - 13}{8}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $- 1$ by $8$ .

$- 1 (4 - 8) \frac{5 - 13}{8}$

Step 3.2

Subtract $8$ from $4$ .

$- 1 \cdot - 4 \frac{5 - 13}{8}$

Step 4

Cancel the common factor of $4$ .

Tap for more steps...

Step 4.1

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

$4 (- 1 \cdot - 1) \frac{5 - 13}{8}$

Step 4.2

Factor $4$ out of $8$ .

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

Step 4.3

Cancel the common factor.

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

Step 4.4

Rewrite the expression.

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

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Multiply $- 1$ by $- 1$ .

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

Step 5.2

Multiply $\frac{5 - 13}{2}$ by $1$ .

$\frac{5 - 13}{2}$

Step 5.3

Subtract $13$ from $5$ .

$\frac{- 8}{2}$

Step 5.4

Divide $- 8$ by $2$ .

$- 4$