Evaluate 2-1 2/3

$2 - 1 \frac{2}{3}$

Convert $1 \frac{2}{3}$ to an improper fraction.

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

$2 - (1 + \frac{2}{3})$

Add $1$ and $\frac{2}{3}$ .

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Write $1$ as a fraction with a common denominator.

$2 - (\frac{3}{3} + \frac{2}{3})$

Combine the numerators over the common denominator.

$2 - \frac{3 + 2}{3}$

Add $3$ and $2$ .

$2 - \frac{5}{3}$

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$2 \cdot \frac{3}{3} - \frac{5}{3}$

Combine $2$ and $\frac{3}{3}$ .

$\frac{2 \cdot 3}{3} - \frac{5}{3}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 - 5}{3}$

Simplify the numerator.

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Multiply $2$ by $3$ .

$\frac{6 - 5}{3}$

Subtract $5$ from $6$ .

$\frac{1}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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