Divide (-7/10)÷(2/5)

$- \frac{7}{10} \div \frac{2}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{7}{10} \cdot \frac{5}{2}$

Step 2

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{7}{10}$ into the numerator.

$\frac{- 7}{10} \cdot \frac{5}{2}$

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 7}{2} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{- 7}{2}$ by $\frac{1}{2}$ .

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

Step 4

Multiply $2$ by $2$ .

$\frac{- 7}{4}$

Step 5

Move the negative in front of the fraction.

$- \frac{7}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{4}$

Decimal Form:

$- 1.75$

Mixed Number Form:

$- 1 \frac{3}{4}$