Divide (-5/12)÷(25/18)

$- \frac{5}{12} \div \frac{25}{18}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{5}{12} \cdot \frac{18}{25}$

Cancel the common factor of $5$ .

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

$\frac{- 5}{12} \cdot \frac{18}{25}$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{12} \cdot \frac{18}{25}$

Factor $5$ out of $25$ .

$\frac{5 \cdot - 1}{12} \cdot \frac{18}{5 \cdot 5}$

Cancel the common factor.

$\frac{5 \cdot - 1}{12} \cdot \frac{18}{5 \cdot 5}$

Rewrite the expression.

$\frac{- 1}{12} \cdot \frac{18}{5}$

Cancel the common factor of $6$ .

Factor $6$ out of $12$ .

$\frac{- 1}{6 (2)} \cdot \frac{18}{5}$

Factor $6$ out of $18$ .

$\frac{- 1}{6 \cdot 2} \cdot \frac{6 \cdot 3}{5}$

Cancel the common factor.

$\frac{- 1}{6 \cdot 2} \cdot \frac{6 \cdot 3}{5}$

Rewrite the expression.

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

Multiply $\frac{- 1}{2}$ by $\frac{3}{5}$ .

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

Multiply $- 1$ by $3$ .

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

Multiply $2$ by $5$ .

$\frac{- 3}{10}$

Move the negative in front of the fraction.

$- \frac{3}{10}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{10}$

Decimal Form:

$- 0.3$