Answer
$\dfrac{5}{6}$
Work Step by Step
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $6$.
$\dfrac{3}{2} - \dfrac{2}{3}
\\=\dfrac{3\color{blue}{(3)}}{2\color{blue}{(3)}}-\dfrac{2\color{blue}{(2)}}{3\color{blue}{(2)}}
\\=\dfrac{9}{6}-\dfrac{4}{6}$
Now that the fractions are similar, subtract the numerators and copy the denominator to obtain:
$=\dfrac{9-4}{6}
\\=\dfrac{5}{6}$