Basic Math Examples

$\frac{10}{33} \div \frac{55}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{10}{33} \cdot \frac{6}{55}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $10$ .

$\frac{5 (2)}{33} \cdot \frac{6}{55}$

Step 2.2

Factor $5$ out of $55$ .

$\frac{5 \cdot 2}{33} \cdot \frac{6}{5 \cdot 11}$

Step 2.3

Cancel the common factor.

$\frac{5 \cdot 2}{33} \cdot \frac{6}{5 \cdot 11}$

Step 2.4

Rewrite the expression.

$\frac{2}{33} \cdot \frac{6}{11}$

$\frac{2}{33} \cdot \frac{6}{11}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $33$ .

$\frac{2}{3 (11)} \cdot \frac{6}{11}$

Step 3.2

Factor $3$ out of $6$ .

$\frac{2}{3 \cdot 11} \cdot \frac{3 \cdot 2}{11}$

Step 3.3

Cancel the common factor.

$\frac{2}{3 \cdot 11} \cdot \frac{3 \cdot 2}{11}$

Step 3.4

Rewrite the expression.

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

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

Step 4

Multiply $\frac{2}{11}$ by $\frac{2}{11}$ .

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

Step 5

Multiply.

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Step 5.1

Multiply $2$ by $2$ .

$\frac{4}{11 \cdot 11}$

Step 5.2

Multiply $11$ by $11$ .

$\frac{4}{121}$

$\frac{4}{121}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{121}$

Decimal Form:

$0.03305785 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$