Evaluate 2 2/9-2/9

$2 \frac{2}{9} - \frac{2}{9}$

Convert $2 \frac{2}{9}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

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

Add $2$ and $\frac{2}{9}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

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

Combine $2$ and $\frac{9}{9}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $2$ by $9$ .

$\frac{18 + 2}{9} - \frac{2}{9}$

Add $18$ and $2$ .

$\frac{20}{9} - \frac{2}{9}$

Combine the numerators over the common denominator.

$\frac{20 - 2}{9}$

Subtract $2$ from $20$ .

$\frac{18}{9}$

Divide $18$ by $9$ .

$2$