Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

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

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Step 2.1

Factor $\sqrt{2}$ out of $- \sqrt{2}$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$- 1$