Trigonometry Examples

$\frac{\frac{\sqrt{10}}{10}}{\frac{3 \sqrt{10}}{10}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\sqrt{10}}{10} \cdot \frac{10}{3 \sqrt{10}}$

Step 2

Cancel the common factor of $\sqrt{10}$ .

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Step 2.1

Factor $\sqrt{10}$ out of $3 \sqrt{10}$ .

$\frac{\sqrt{10}}{10} \cdot \frac{10}{\sqrt{10} \cdot 3}$

Step 2.2

Cancel the common factor.

$\frac{\sqrt{10}}{10} \cdot \frac{10}{\sqrt{10} \cdot 3}$

Step 2.3

Rewrite the expression.

$\frac{1}{10} \cdot \frac{10}{3}$

Step 3

Cancel the common factor of $10$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{10} \cdot \frac{10}{3}$

Step 3.2

Rewrite the expression.

$\frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$