Pre-Algebra Examples

$- \frac{14}{7} \div \frac{12}{14}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{14}{7} \cdot \frac{14}{12}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{14}{7}$ into the numerator.

$\frac{- 14}{7} \cdot \frac{14}{12}$

Step 2.2

Factor $2$ out of $- 14$ .

$\frac{2 (- 7)}{7} \cdot \frac{14}{12}$

Step 2.3

Factor $2$ out of $12$ .

$\frac{2 \cdot - 7}{7} \cdot \frac{14}{2 \cdot 6}$

Step 2.4

Cancel the common factor.

$\frac{2 \cdot - 7}{7} \cdot \frac{14}{2 \cdot 6}$

Step 2.5

Rewrite the expression.

$\frac{- 7}{7} \cdot \frac{14}{6}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $14$ .

$\frac{- 7}{7} \cdot \frac{7 (2)}{6}$

Step 3.2

Cancel the common factor.

$\frac{- 7}{7} \cdot \frac{7 \cdot 2}{6}$

Step 3.3

Rewrite the expression.

$- 7 (\frac{2}{6})$

Step 4

Combine $- 7$ and $\frac{2}{6}$ .

$\frac{- 7 \cdot 2}{6}$

Step 5

Multiply $- 7$ by $2$ .

$\frac{- 14}{6}$

Step 6

Cancel the common factor of $- 14$ and $6$ .

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Step 6.1

Factor $2$ out of $- 14$ .

$\frac{2 (- 7)}{6}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot - 7}{2 \cdot 3}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot - 7}{2 \cdot 3}$

Step 6.2.3

Rewrite the expression.

$\frac{- 7}{3}$

Step 7

Move the negative in front of the fraction.

$- \frac{7}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{3}$

Decimal Form:

$- 2.\overline{3}$

Mixed Number Form:

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