Basic Math Examples

$\frac{14}{22} \div \frac{9}{13}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{14}{22} \cdot \frac{13}{9}$

Step 2

Cancel the common factor of $14$ and $22$ .

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Step 2.1

Factor $2$ out of $14$ .

$\frac{2 (7)}{22} \cdot \frac{13}{9}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $22$ .

$\frac{2 \cdot 7}{2 \cdot 11} \cdot \frac{13}{9}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 11} \cdot \frac{13}{9}$

Step 2.2.3

Rewrite the expression.

$\frac{7}{11} \cdot \frac{13}{9}$

$\frac{7}{11} \cdot \frac{13}{9}$

$\frac{7}{11} \cdot \frac{13}{9}$

Step 3

Multiply $\frac{7}{11} \cdot \frac{13}{9}$ .

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Step 3.1

Multiply $\frac{7}{11}$ by $\frac{13}{9}$ .

$\frac{7 \cdot 13}{11 \cdot 9}$

Step 3.2

Multiply $7$ by $13$ .

$\frac{91}{11 \cdot 9}$

Step 3.3

Multiply $11$ by $9$ .

$\frac{91}{99}$

$\frac{91}{99}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{91}{99}$

Decimal Form:

$0.\overline{91}$

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