Basic Math Examples

$(\frac{5}{9} \cdot \frac{5}{9} \cdot \frac{5}{9}) \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 1

Multiply $\frac{5}{9} \cdot \frac{5}{9}$ .

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Step 1.1

Multiply $\frac{5}{9}$ by $\frac{5}{9}$ .

$\frac{5 \cdot 5}{9 \cdot 9} \cdot \frac{5}{9} \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 1.2

Multiply $5$ by $5$ .

$\frac{25}{9 \cdot 9} \cdot \frac{5}{9} \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 1.3

Multiply $9$ by $9$ .

$\frac{25}{81} \cdot \frac{5}{9} \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 2

Multiply $\frac{25}{81} \cdot \frac{5}{9}$ .

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Step 2.1

Multiply $\frac{25}{81}$ by $\frac{5}{9}$ .

$\frac{25 \cdot 5}{81 \cdot 9} \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 2.2

Multiply $25$ by $5$ .

$\frac{125}{81 \cdot 9} \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 2.3

Multiply $81$ by $9$ .

$\frac{125}{729} \cdot (\frac{18}{25} \cdot \frac{18}{25})$

Step 3

Multiply $\frac{18}{25} \cdot \frac{18}{25}$ .

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Step 3.1

Multiply $\frac{18}{25}$ by $\frac{18}{25}$ .

$\frac{125}{729} \cdot \frac{18 \cdot 18}{25 \cdot 25}$

Step 3.2

Multiply $18$ by $18$ .

$\frac{125}{729} \cdot \frac{324}{25 \cdot 25}$

Step 3.3

Multiply $25$ by $25$ .

$\frac{125}{729} \cdot \frac{324}{625}$

Step 4

Cancel the common factor of $125$ .

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Step 4.1

Factor $125$ out of $625$ .

$\frac{125}{729} \cdot \frac{324}{125 (5)}$

Step 4.2

Cancel the common factor.

$\frac{125}{729} \cdot \frac{324}{125 \cdot 5}$

Step 4.3

Rewrite the expression.

$\frac{1}{729} \cdot \frac{324}{5}$

Step 5

Cancel the common factor of $81$ .

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Step 5.1

Factor $81$ out of $729$ .

$\frac{1}{81 (9)} \cdot \frac{324}{5}$

Step 5.2

Factor $81$ out of $324$ .

$\frac{1}{81 \cdot 9} \cdot \frac{81 \cdot 4}{5}$

Step 5.3

Cancel the common factor.

$\frac{1}{81 \cdot 9} \cdot \frac{81 \cdot 4}{5}$

Step 5.4

Rewrite the expression.

$\frac{1}{9} \cdot \frac{4}{5}$

Step 6

Multiply $\frac{1}{9}$ by $\frac{4}{5}$ .

$\frac{4}{9 \cdot 5}$

Step 7

Multiply $9$ by $5$ .

$\frac{4}{45}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{45}$

Decimal Form:

$0.0\overline{8}$