Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 3

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

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

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

Step 3.2

Multiply $2$ by $3$ .

$- \frac{1}{6} - \frac{3}{6}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{- 1 - 3}{6}$

Step 4.2

Subtract $3$ from $- 1$ .

$\frac{- 4}{6}$

Step 5

Cancel the common factor of $- 4$ and $6$ .

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Step 5.1

Factor $2$ out of $- 4$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $6$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{- 2}{3}$

Step 6

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$