Finite Math Examples

$\frac{\frac{4}{81}}{\frac{2}{9}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{81} \cdot \frac{9}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{81} \cdot \frac{9}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 \cdot 2}{81} \cdot \frac{9}{2}$

Step 2.3

Rewrite the expression.

$\frac{2}{81} \cdot 9$

Step 3

Cancel the common factor of $9$ .

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Step 3.1

Factor $9$ out of $81$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{2}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{9}$

Decimal Form:

$0.\overline{2}$