Divide ((x-2)/2)÷((x-2)/5)

$\frac{x - 2}{2} \div \frac{x - 2}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $x - 2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Combine $\frac{1}{2}$ and $5$ .

$\frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$