Divide (5/2)÷(-15/17)

$\frac{5}{2} \div (- \frac{15}{17})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{2} (- \frac{17}{15})$

Step 2

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{17}{15}$ into the numerator.

$\frac{5}{2} \cdot \frac{- 17}{15}$

Factor $5$ out of $15$ .

$\frac{5}{2} \cdot \frac{- 17}{5 (3)}$

Cancel the common factor.

$\frac{5}{2} \cdot \frac{- 17}{5 \cdot 3}$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{- 17}{3}$

Step 3

Multiply $\frac{1}{2}$ by $\frac{- 17}{3}$ .

$\frac{- 17}{2 \cdot 3}$

Step 4

Multiply $2$ by $3$ .

$\frac{- 17}{6}$

Step 5

Move the negative in front of the fraction.

$- \frac{17}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{17}{6}$

Decimal Form:

$- 2.8\overline{3}$

Mixed Number Form:

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