Basic Math Examples

$\frac{11}{9} \div \frac{18}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{11}{9} \cdot \frac{6}{18}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $9$ .

$\frac{11}{3 (3)} \cdot \frac{6}{18}$

Step 2.2

Factor $3$ out of $6$ .

$\frac{11}{3 \cdot 3} \cdot \frac{3 \cdot 2}{18}$

Step 2.3

Cancel the common factor.

$\frac{11}{3 \cdot 3} \cdot \frac{3 \cdot 2}{18}$

Step 2.4

Rewrite the expression.

$\frac{11}{3} \cdot \frac{2}{18}$

$\frac{11}{3} \cdot \frac{2}{18}$

Step 3

Multiply $\frac{11}{3}$ by $\frac{2}{18}$ .

$\frac{11 \cdot 2}{3 \cdot 18}$

Step 4

Multiply.

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Step 4.1

Multiply $11$ by $2$ .

$\frac{22}{3 \cdot 18}$

Step 4.2

Multiply $3$ by $18$ .

$\frac{22}{54}$

$\frac{22}{54}$

Step 5

Cancel the common factor of $22$ and $54$ .

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Step 5.1

Factor $2$ out of $22$ .

$\frac{2 (11)}{54}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $54$ .

$\frac{2 \cdot 11}{2 \cdot 27}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 11}{2 \cdot 27}$

Step 5.2.3

Rewrite the expression.

$\frac{11}{27}$

$\frac{11}{27}$

$\frac{11}{27}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{27}$

Decimal Form:

$0.\overline{407}$

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