Basic Math Examples

\frac{11}{14} \div \frac{5}{6}

$\frac{11}{14} \div \frac{5}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{11}{14} \cdot \frac{6}{5}

$\frac{11}{14} \cdot \frac{6}{5}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

14

$14$ .

\frac{11}{2 (7)} \cdot \frac{6}{5}

$\frac{11}{2 (7)} \cdot \frac{6}{5}$

Step 2.2

Factor

2

$2$ out of

6

$6$ .

\frac{11}{2 \cdot 7} \cdot \frac{2 \cdot 3}{5}

$\frac{11}{2 \cdot 7} \cdot \frac{2 \cdot 3}{5}$

Step 2.3

Cancel the common factor.

$\frac{11}{2 \cdot 7} \cdot \frac{2 \cdot 3}{5}$

Step 2.4

Rewrite the expression.

$\frac{11}{7} \cdot \frac{3}{5}$

$\frac{11}{7} \cdot \frac{3}{5}$

Step 3

Multiply

$\frac{11}{7}$ by

$\frac{3}{5}$ .

$\frac{11 \cdot 3}{7 \cdot 5}$

Step 4

Multiply.

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Step 4.1

Multiply

$11$ by

$3$ .

$\frac{33}{7 \cdot 5}$

Step 4.2

Multiply

$7$ by

$5$ .

$\frac{33}{35}$

$\frac{33}{35}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{35}$

Decimal Form:

$0.9\overline{428571}$

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