Basic Math Examples

$\frac{2}{3} \cdot (\frac{2}{6}) + \frac{1}{9}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Factor $2$ out of $6$ .

$\frac{2}{3} \cdot \frac{2}{2 (3)} + \frac{1}{9}$

Step 1.1.2

Cancel the common factor.

$\frac{2}{3} \cdot \frac{2}{2 \cdot 3} + \frac{1}{9}$

Step 1.1.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{2}{3} + \frac{1}{9}$

Step 1.2

Multiply $\frac{1}{3}$ by $\frac{2}{3}$ .

$\frac{2}{3 \cdot 3} + \frac{1}{9}$

Step 1.3

Multiply $3$ by $3$ .

$\frac{2}{9} + \frac{1}{9}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{2 + 1}{9}$

Step 2.2

Add $2$ and $1$ .

$\frac{3}{9}$

Step 2.3

Cancel the common factor of $3$ and $9$ .

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Step 2.3.1

Factor $3$ out of $3$ .

$\frac{3 (1)}{9}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $3$ out of $9$ .

$\frac{3 \cdot 1}{3 \cdot 3}$

Step 2.3.2.2

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 3}$

Step 2.3.2.3

Rewrite the expression.

$\frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$