Evaluate 2 1/3-1 5/6

$2 \frac{1}{3} - 1 \frac{5}{6}$

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.

$2 + \frac{1}{3} - 1 \frac{5}{6}$

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

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

$2 \cdot \frac{3}{3} + \frac{1}{3} - 1 \frac{5}{6}$

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

$\frac{2 \cdot 3}{3} + \frac{1}{3} - 1 \frac{5}{6}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + 1}{3} - 1 \frac{5}{6}$

Simplify the numerator.

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Multiply $2$ by $3$ .

$\frac{6 + 1}{3} - 1 \frac{5}{6}$

Add $6$ and $1$ .

$\frac{7}{3} - 1 \frac{5}{6}$

Convert $1 \frac{5}{6}$ to an improper fraction.

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

$\frac{7}{3} - (1 + \frac{5}{6})$

Add $1$ and $\frac{5}{6}$ .

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

$\frac{7}{3} - (\frac{6}{6} + \frac{5}{6})$

Combine the numerators over the common denominator.

$\frac{7}{3} - \frac{6 + 5}{6}$

Add $6$ and $5$ .

$\frac{7}{3} - \frac{11}{6}$

To write $\frac{7}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{7}{3} \cdot \frac{2}{2} - \frac{11}{6}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{7}{3}$ and $\frac{2}{2}$ .

$\frac{7 \cdot 2}{3 \cdot 2} - \frac{11}{6}$

Multiply $3$ by $2$ .

$\frac{7 \cdot 2}{6} - \frac{11}{6}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 - 11}{6}$

Simplify the numerator.

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Multiply $7$ by $2$ .

$\frac{14 - 11}{6}$

Subtract $11$ from $14$ .

$\frac{3}{6}$

Cancel the common factor of $3$ and $6$ .

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Factor $3$ out of $3$ .

$\frac{3 (1)}{6}$

Cancel the common factors.

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Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$