Algebra Examples

$- \frac{7}{12} \div \frac{14}{15}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{7}{12} \cdot \frac{15}{14}$

Step 2

Cancel the common factor of $7$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{7}{12}$ into the numerator.

$\frac{- 7}{12} \cdot \frac{15}{14}$

Step 2.2

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{12} \cdot \frac{15}{14}$

Step 2.3

Factor $7$ out of $14$ .

$\frac{7 \cdot - 1}{12} \cdot \frac{15}{7 \cdot 2}$

Step 2.4

Cancel the common factor.

$\frac{7 \cdot - 1}{12} \cdot \frac{15}{7 \cdot 2}$

Step 2.5

Rewrite the expression.

$\frac{- 1}{12} \cdot \frac{15}{2}$

Step 3

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.1

Factor $3$ out of $12$ .

$\frac{- 1}{3 (4)} \cdot \frac{15}{2}$

Step 3.2

Factor $3$ out of $15$ .

$\frac{- 1}{3 \cdot 4} \cdot \frac{3 \cdot 5}{2}$

Step 3.3

Cancel the common factor.

$\frac{- 1}{3 \cdot 4} \cdot \frac{3 \cdot 5}{2}$

Step 3.4

Rewrite the expression.

$\frac{- 1}{4} \cdot \frac{5}{2}$

Step 4

Multiply $\frac{- 1}{4}$ by $\frac{5}{2}$ .

$\frac{- 1 \cdot 5}{4 \cdot 2}$

Step 5

Multiply $- 1$ by $5$ .

$\frac{- 5}{4 \cdot 2}$

Step 6

Multiply $4$ by $2$ .

$\frac{- 5}{8}$

Step 7

Move the negative in front of the fraction.

$- \frac{5}{8}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{8}$

Decimal Form:

$- 0.625$