Answer
$3\frac{1}{4}$
Work Step by Step
Convert each mixed number to an improper fraction:
$=\frac{3(1)+2}{3}+\frac{6(3)+5}{6}-\frac{4(2)+1}{4}
\\=\frac{5}{3} + \frac{23}{6} - \frac{9}{4}$
Make the fractions similar using their LCD of $12$ to obtain:
$=\frac{5(4)}{3(4)}+\frac{23(2)}{6(2)}-\frac{9(3)}{4(3)}
\\=\frac{20}{12}+\frac{46}{12}-\frac{27}{12}
\\=\frac{20+46-27}{12}
\\=\frac{39}{12}
\\=3\frac{3}{12}
\\=3\frac{1}{4}$
