Basic Math Examples

$\frac{1}{11} \cdot \frac{1}{11} \div \frac{1}{22}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{11} \cdot \frac{1}{11} \cdot 22$

Step 2

Multiply $\frac{1}{11} \cdot \frac{1}{11}$ .

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Step 2.1

Multiply $\frac{1}{11}$ by $\frac{1}{11}$ .

$\frac{1}{11 \cdot 11} \cdot 22$

Step 2.2

Multiply $11$ by $11$ .

$\frac{1}{121} \cdot 22$

Step 3

Cancel the common factor of $11$ .

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Step 3.1

Factor $11$ out of $121$ .

$\frac{1}{11 (11)} \cdot 22$

Step 3.2

Factor $11$ out of $22$ .

$\frac{1}{11 \cdot 11} \cdot (11 \cdot 2)$

Step 3.3

Cancel the common factor.

$\frac{1}{11 \cdot 11} \cdot (11 \cdot 2)$

Step 3.4

Rewrite the expression.

$\frac{1}{11} \cdot 2$

Step 4

Combine $\frac{1}{11}$ and $2$ .

$\frac{2}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{11}$

Decimal Form:

$0.\overline{18}$