Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Multiply $\frac{1}{9} \cdot \frac{1}{3}$ .

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Step 1.1.1

Multiply $\frac{1}{9}$ by $\frac{1}{3}$ .

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

Step 1.1.2

Multiply $9$ by $3$ .

$\frac{1}{27} + \frac{2}{3} \cdot \frac{1}{9}$

Step 1.2

Multiply $\frac{2}{3} \cdot \frac{1}{9}$ .

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Step 1.2.1

Multiply $\frac{2}{3}$ by $\frac{1}{9}$ .

$\frac{1}{27} + \frac{2}{3 \cdot 9}$

Step 1.2.2

Multiply $3$ by $9$ .

$\frac{1}{27} + \frac{2}{27}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{1 + 2}{27}$

Step 2.2

Add $1$ and $2$ .

$\frac{3}{27}$

Step 2.3

Cancel the common factor of $3$ and $27$ .

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Step 2.3.1

Factor $3$ out of $3$ .

$\frac{3 (1)}{27}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $3$ out of $27$ .

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

Step 2.3.2.2

Cancel the common factor.

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

Step 2.3.2.3

Rewrite the expression.

$\frac{1}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$