Answer
$1\frac{1}{6}$
Work Step by Step
Convert each mixed number to an improper fraction to obtain:
$=\left(\dfrac{3\cdot 3 + 2}{3}\right) - \left(\dfrac{2\cdot 2 + 1}{2}\right)
\\=\dfrac{11}{3} - \dfrac{5}{2}$
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $6$.
$\dfrac{11}{3} - \dfrac{5}{2}
\\= \dfrac{11\color{blue}{(2)}}{3\color{blue}{(2)}}-\dfrac{5\color{blue}{(3)}}{2\color{blue}{(3)}}
\\=\dfrac{22}{6}-\dfrac{15}{6}$
Now that the fractions are similar, subtract the numerators and copy the denominator to obtain:
$=\dfrac{22-15}{6}
\\=\dfrac{7}{6}$
Convert to a mixed number to obtain:
$=\dfrac{6+1}{6}
\\=\dfrac{6}{6} + \dfrac{1}{6}
\\=1\frac{1}{6}$
