Divide (9/10)÷(-4/5)

$\frac{9}{10} \div (- \frac{4}{5})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{10} (- \frac{5}{4})$

Step 2

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{4}$ into the numerator.

$\frac{9}{10} \cdot \frac{- 5}{4}$

Factor $5$ out of $10$ .

$\frac{9}{5 (2)} \cdot \frac{- 5}{4}$

Factor $5$ out of $- 5$ .

$\frac{9}{5 \cdot 2} \cdot \frac{5 \cdot - 1}{4}$

Cancel the common factor.

$\frac{9}{5 \cdot 2} \cdot \frac{5 \cdot - 1}{4}$

Rewrite the expression.

$\frac{9}{2} \cdot \frac{- 1}{4}$

Step 3

Multiply $\frac{9}{2}$ by $\frac{- 1}{4}$ .

$\frac{9 \cdot - 1}{2 \cdot 4}$

Step 4

Multiply $9$ by $- 1$ .

$\frac{- 9}{2 \cdot 4}$

Step 5

Multiply $2$ by $4$ .

$\frac{- 9}{8}$

Step 6

Move the negative in front of the fraction.

$- \frac{9}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{8}$

Decimal Form:

$- 1.125$

Mixed Number Form:

$- 1 \frac{1}{8}$