Answer
$\frac{1}{2}$
Work Step by Step
To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator then add the numerator, write the result over the original denominator.
$2\frac{1}{3}-1\frac{5}{6}=\frac{2*3+1}{3}-\frac{6+5}{6}=\frac{7}{3}-\frac{11}{6}$
Then write each fraction as an equivalent fraction with
the LCD as denominator, and then subtract the numerators.
$\frac{7}{3}-\frac{11}{6}=\frac{14}{6}-\frac{11}{6}=\frac{14-11}{6}=\frac{3}{6}=\frac{1}{2}$
