Basic Math Examples

$\frac{12}{5} \div \frac{10}{11}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{5} \cdot \frac{11}{10}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $12$ .

$\frac{2 (6)}{5} \cdot \frac{11}{10}$

Step 2.2

Factor $2$ out of $10$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

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

Step 3

Multiply $\frac{6}{5}$ by $\frac{11}{5}$ .

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

Step 4

Multiply.

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Step 4.1

Multiply $6$ by $11$ .

$\frac{66}{5 \cdot 5}$

Step 4.2

Multiply $5$ by $5$ .

$\frac{66}{25}$

$\frac{66}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{66}{25}$

Decimal Form:

$2.64$

Mixed Number Form:

$2 \frac{16}{25}$

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