Evaluate (( square root of 2)/2)÷(( square root of 2)/2)

$\frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$

To divide by a fraction, multiply by its reciprocal.

$\frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$

Cancel the common factor of $\sqrt{2}$ .

Cancel the common factor.

$\frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$

Rewrite the expression.

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$1$