Pre-Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{4}{6}$ into the numerator.

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

Step 2.2

Factor $2$ out of $- 4$ .

$\frac{2 (- 2)}{6} \cdot \frac{3}{2}$

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $6$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{- 2}{2}$

Step 4

Divide $- 2$ by $2$ .

$- 1$