Evaluate 2 1/3-3 1/3

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $2$ by $3$ .

$\frac{6 + 1}{3} - 3 \frac{1}{3}$

Add $6$ and $1$ .

$\frac{7}{3} - 3 \frac{1}{3}$

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

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

$\frac{7}{3} - (3 + \frac{1}{3})$

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

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

$\frac{7}{3} - (3 \cdot \frac{3}{3} + \frac{1}{3})$

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

$\frac{7}{3} - (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Combine the numerators over the common denominator.

$\frac{7}{3} - \frac{3 \cdot 3 + 1}{3}$

Simplify the numerator.

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Multiply $3$ by $3$ .

$\frac{7}{3} - \frac{9 + 1}{3}$

Add $9$ and $1$ .

$\frac{7}{3} - \frac{10}{3}$

Combine the numerators over the common denominator.

$\frac{7 - 10}{3}$

Subtract $10$ from $7$ .

$\frac{- 3}{3}$

Divide $- 3$ by $3$ .

$- 1$