Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

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

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

Step 4

Multiply $2$ by $- 1$ .

$\frac{1}{- 2}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$