Divide (7/8)÷(-5/12)

$\frac{7}{8} \div (- \frac{5}{12})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{8} (- \frac{12}{5})$

Step 2

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{12}{5}$ into the numerator.

$\frac{7}{8} \cdot \frac{- 12}{5}$

Factor $4$ out of $8$ .

$\frac{7}{4 (2)} \cdot \frac{- 12}{5}$

Factor $4$ out of $- 12$ .

$\frac{7}{4 \cdot 2} \cdot \frac{4 \cdot - 3}{5}$

Cancel the common factor.

$\frac{7}{4 \cdot 2} \cdot \frac{4 \cdot - 3}{5}$

Rewrite the expression.

$\frac{7}{2} \cdot \frac{- 3}{5}$

Step 3

Multiply $\frac{7}{2}$ by $\frac{- 3}{5}$ .

$\frac{7 \cdot - 3}{2 \cdot 5}$

Step 4

Multiply $7$ by $- 3$ .

$\frac{- 21}{2 \cdot 5}$

Step 5

Multiply $2$ by $5$ .

$\frac{- 21}{10}$

Step 6

Move the negative in front of the fraction.

$- \frac{21}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{21}{10}$

Decimal Form:

$- 2.1$

Mixed Number Form:

$- 2 \frac{1}{10}$