Basic Math Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- - \frac{1}{3}$ .

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Step 1.1.1

Multiply $- 1$ by $- 1$ .

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

Step 1.1.2

Multiply $\frac{1}{3}$ by $1$ .

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

Step 1.2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 1.3

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

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

Step 1.4

Combine the numerators over the common denominator.

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

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $- 1$ by $3$ .

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

Step 1.5.2

Add $- 3$ and $1$ .

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

Step 1.6

Move the negative in front of the fraction.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

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

Step 3.2

Factor $2$ out of $- 2$ .

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

Step 3.3

Cancel the common factor.

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

Step 3.4

Rewrite the expression.

$\frac{- 1}{3}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$