Basic Math Examples

$\frac{8}{9} \div \frac{2}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{8}{9} \cdot \frac{3}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{2 (4)}{9} \cdot \frac{3}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 \cdot 4}{9} \cdot \frac{3}{2}$

Step 2.3

Rewrite the expression.

$\frac{4}{9} \cdot 3$

$\frac{4}{9} \cdot 3$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $9$ .

$\frac{4}{3 (3)} \cdot 3$

Step 3.2

Cancel the common factor.

$\frac{4}{3 \cdot 3} \cdot 3$

Step 3.3

Rewrite the expression.

$\frac{4}{3}$

$\frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$

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