Answer
$\dfrac{7}{12}$
Work Step by Step
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $12$.
$\dfrac{4}{3} - \dfrac{3}{4}
\\=\dfrac{4\color{blue}{(4)}}{3\color{blue}{(4)}}-\dfrac{3\color{blue}{(3)}}{4\color{blue}{(3)}}
\\=\dfrac{16}{12}-\dfrac{9}{12}$
Now that the fractions are similar, subtract the numerators and copy the denominator to obtain:
$=\dfrac{16-9}{12}
\\=\dfrac{7}{12}$