Basic Math Examples

$(- \frac{1}{3}) + \frac{5}{6} - \frac{1}{2} - \frac{1}{6}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 1}{3} + \frac{5 - 1}{6} + \frac{- 1}{2}$

Step 2

Subtract $1$ from $5$ .

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

Step 3

Find the common denominator.

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Step 3.1

Multiply $\frac{- 1}{3}$ by $\frac{2}{2}$ .

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

Step 3.2

Multiply $\frac{- 1}{3}$ by $\frac{2}{2}$ .

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

Step 3.3

Multiply $\frac{- 1}{2}$ by $\frac{3}{3}$ .

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

Step 3.4

Multiply $\frac{- 1}{2}$ by $\frac{3}{3}$ .

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

Step 3.5

Reorder the factors of $3 \cdot 2$ .

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

Step 3.6

Multiply $2$ by $3$ .

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

Step 3.7

Multiply $2$ by $3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify each term.

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Step 5.1

Multiply $- 1$ by $2$ .

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

Step 5.2

Multiply $- 1$ by $3$ .

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

Step 6

Simplify the expression.

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Step 6.1

Add $- 2$ and $4$ .

$\frac{2 - 3}{6}$

Step 6.2

Subtract $3$ from $2$ .

$\frac{- 1}{6}$

Step 6.3

Move the negative in front of the fraction.

$- \frac{1}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{6}$

Decimal Form:

$- 0.1\overline{6}$