#### Answer

10$\frac{5}{12}$

#### Work Step by Step

4$\frac{3}{4}$ + 5$\frac{2}{3}$
Convert the mixed fraction into improper fraction
4$\frac{3}{4}$ = $\frac{19}{4}$
5$\frac{2}{3}$ = $\frac{17}{3}$
The least common multiple of 4 and 3 is 12. Rewrite all the fractions as fractions with a least common denominator of 12.
$\frac{57}{12}$ + $\frac{68}{12}$= $\frac{125}{12}$
$\frac{125}{12}$ is improper fraction so convert it into mixed fraction
$\frac{125}{12}$ = 10$\frac{5}{12}$