Basic Math Examples

$\frac{- 8 \div (4 - 2)}{4 + 6 \div 3}$

Step 1

Cancel the common factor of $- 8$ and $4 - 2$ .

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Step 1.1

Factor $2$ out of $- 8$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $4$ .

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

Step 1.2.2

Factor $2$ out of $- 2$ .

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

Step 1.2.3

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

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

Step 1.2.4

Cancel the common factor.

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

Step 1.2.5

Rewrite the expression.

$\frac{\frac{- 4}{2 - 1}}{4 + 6 \div 3}$

Step 2

Cancel the common factor of $6$ and $3$ .

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Step 2.1

Factor $3$ out of $6$ .

$\frac{\frac{- 4}{2 - 1}}{4 + 3 \cdot 2 \div 3}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $3$ .

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

Step 2.2.2

Cancel the common factor.

$\frac{\frac{- 4}{2 - 1}}{4 + 3 \cdot 2 \div 3 \cdot 1}$

Step 2.2.3

Rewrite the expression.

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

Step 2.2.4

Divide $2$ by $1$ .

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

Simplify the expression.

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Step 4.1

Subtract $1$ from $2$ .

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

Step 4.2

Divide $- 4$ by $1$ .

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

Step 4.3

Add $4$ and $2$ .

$- 4 (\frac{1}{6})$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $- 4$ .

$2 (- 2) \frac{1}{6}$

Step 5.2

Factor $2$ out of $6$ .

$2 \cdot - 2 \frac{1}{2 \cdot 3}$

Step 5.3

Cancel the common factor.

$2 \cdot - 2 \frac{1}{2 \cdot 3}$

Step 5.4

Rewrite the expression.

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

Step 6

Combine $- 2$ and $\frac{1}{3}$ .

$\frac{- 2}{3}$

Step 7

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$