Pre-Algebra Examples

$- \frac{3}{7} \div (- \frac{27}{14})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{3}{7} (- \frac{14}{27})$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{3}{7}$ into the numerator.

$\frac{- 3}{7} (- \frac{14}{27})$

Step 2.2

Move the leading negative in $- \frac{14}{27}$ into the numerator.

$\frac{- 3}{7} \cdot \frac{- 14}{27}$

Step 2.3

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{7} \cdot \frac{- 14}{27}$

Step 2.4

Factor $3$ out of $27$ .

$\frac{3 \cdot - 1}{7} \cdot \frac{- 14}{3 \cdot 9}$

Step 2.5

Cancel the common factor.

$\frac{3 \cdot - 1}{7} \cdot \frac{- 14}{3 \cdot 9}$

Step 2.6

Rewrite the expression.

$\frac{- 1}{7} \cdot \frac{- 14}{9}$

Step 3

Cancel the common factor of $7$ .

Tap for more steps...

Step 3.1

Factor $7$ out of $- 14$ .

$\frac{- 1}{7} \cdot \frac{7 (- 2)}{9}$

Step 3.2

Cancel the common factor.

$\frac{- 1}{7} \cdot \frac{7 \cdot - 2}{9}$

Step 3.3

Rewrite the expression.

$- \frac{- 2}{9}$

Step 4

Move the negative in front of the fraction.

$- - \frac{2}{9}$

Step 5

Multiply $- - \frac{2}{9}$ .

Tap for more steps...

Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{2}{9})$

Step 5.2

Multiply $\frac{2}{9}$ by $1$ .

$\frac{2}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{9}$

Decimal Form:

$0.\overline{2}$