Basic Math Examples

$\frac{6}{\frac{11}{\frac{13}{22}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$6 \frac{\frac{13}{22}}{11}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$6 (\frac{13}{22} \cdot \frac{1}{11})$

Step 3

Multiply $\frac{13}{22} \cdot \frac{1}{11}$ .

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Step 3.1

Multiply $\frac{13}{22}$ by $\frac{1}{11}$ .

$6 \frac{13}{22 \cdot 11}$

Step 3.2

Multiply $22$ by $11$ .

$6 (\frac{13}{242})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $6$ .

$2 (3) \frac{13}{242}$

Step 4.2

Factor $2$ out of $242$ .

$2 \cdot 3 \frac{13}{2 \cdot 121}$

Step 4.3

Cancel the common factor.

$2 \cdot 3 \frac{13}{2 \cdot 121}$

Step 4.4

Rewrite the expression.

$3 (\frac{13}{121})$

Step 5

Combine $3$ and $\frac{13}{121}$ .

$\frac{3 \cdot 13}{121}$

Step 6

Multiply $3$ by $13$ .

$\frac{39}{121}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{39}{121}$

Decimal Form:

$0.32231404 \dots$