Evaluate |1/6-2|

$| \frac{1}{6} - 2 |$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$| \frac{1}{6} - 2 \cdot \frac{6}{6} |$

Combine $- 2$ and $\frac{6}{6}$ .

$| \frac{1}{6} + \frac{- 2 \cdot 6}{6} |$

Combine the numerators over the common denominator.

$| \frac{1 - 2 \cdot 6}{6} |$

Simplify the numerator.

Multiply $- 2$ by $6$ .

$| \frac{1 - 12}{6} |$

Subtract $12$ from $1$ .

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

Move the negative in front of the fraction.

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

$- \frac{11}{6}$ is approximately $- 1.8\overline{3}$ which is negative so negate $- \frac{11}{6}$ and remove the absolute value

$\frac{11}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{6}$

Decimal Form:

$1.8\overline{3}$

Mixed Number Form:

$1 \frac{5}{6}$