Answer:
[tex]10\frac{29}{30}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{2} +3\frac{2}{3} +1\frac{4}{5}[/tex]
Let us group the integers and the fractions.
[tex]5\frac{1}{2} +3\frac{2}{3} +1\frac{4}{5}[/tex] = [tex](5+3+1)+(\frac{1}{2} +\frac{2}{3}+\frac{4}{5} )[/tex]
= [tex]9+\frac{15+20+24}{30}[/tex]
[tex]= 9+\frac{59}{30}[/tex]
[tex]=9+1\frac{29}{30}[/tex]
[tex]=10\frac{29}{30}[/tex]