Divide (6/5)÷(-12/25)

$\frac{6}{5} \div (- \frac{12}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{5} (- \frac{25}{12})$

Step 2

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{25}{12}$ into the numerator.

$\frac{6}{5} \cdot \frac{- 25}{12}$

Factor $6$ out of $12$ .

$\frac{6}{5} \cdot \frac{- 25}{6 (2)}$

Cancel the common factor.

$\frac{6}{5} \cdot \frac{- 25}{6 \cdot 2}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{- 25}{2}$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $- 25$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 5}{2}$

Step 4

Move the negative in front of the fraction.

$- \frac{5}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{2}$

Decimal Form:

$- 2.5$

Mixed Number Form:

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