Basic Math Examples

$8 - (6 - (1 \cdot 6 - 4)) \div 2$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$8 - \frac{6 - (1 \cdot 6 - 4)}{2}$

Step 1.2

Cancel the common factor of $6 - (1 \cdot 6 - 4)$ and $2$ .

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Step 1.2.1

Rewrite $6$ as $- 1 (- 6)$ .

$8 - \frac{- 1 (- 6) - (1 \cdot 6 - 4)}{2}$

Step 1.2.2

Factor $- 1$ out of $- 1 (- 6) - (1 \cdot 6 - 4)$ .

$8 - \frac{- 1 (- 6 + 1 \cdot 6 - 4)}{2}$

Step 1.2.3

Factor $2$ out of $- 1 (- 6 + 1 \cdot 6 - 4)$ .

$8 - \frac{2 (- 1 (- 3 + 1 \cdot 3 - 2))}{2}$

Step 1.2.4

Cancel the common factors.

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Step 1.2.4.1

Factor $2$ out of $2$ .

$8 - \frac{2 (- 1 (- 3 + 1 \cdot 3 - 2))}{2 (1)}$

Step 1.2.4.2

Cancel the common factor.

$8 - \frac{2 (- 1 (- 3 + 1 \cdot 3 - 2))}{2 \cdot 1}$

Step 1.2.4.3

Rewrite the expression.

$8 - \frac{- 1 (- 3 + 1 \cdot 3 - 2)}{1}$

Step 1.2.4.4

Divide $- 1 (- 3 + 1 \cdot 3 - 2)$ by $1$ .

$8 - (- 1 (- 3 + 1 \cdot 3 - 2))$

Step 1.3

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

$8 - - (- 3 + 1 \cdot 3 - 2)$

Step 1.4

Multiply $3$ by $1$ .

$8 - - (- 3 + 3 - 2)$

Step 1.5

Add $- 3$ and $3$ .

$8 - - (0 - 2)$

Step 1.6

Subtract $2$ from $0$ .

$8 - - - 2$

Step 1.7

Multiply $- - - 2$ .

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Step 1.7.1

Multiply $- 1$ by $- 2$ .

$8 - 1 \cdot 2$

Step 1.7.2

Multiply $- 1$ by $2$ .

$8 - 2$

Step 2

Subtract $2$ from $8$ .

$6$