Answer:
[tex]6\frac{1}{3}hours[/tex]
Step-by-step explanation:
Since David fished for a [tex]1\frac{1}{2}[/tex] hours and kayaked for another [tex]4\frac{5}{6}[/tex] hours, the sum of these two mixed numbers will be the total time that he spent at the lake:
[tex]1\frac{1}{2}[/tex] + [tex]4\frac{5}{6}[/tex]
In order to add fractions, they need to have the same denominator. We use the denominator that is the least common multiple of both denominators:
2: 2, 4, 6
6: 6
[tex]1\frac{1}{2}[/tex]=[tex]1\frac{3}{6}[/tex]
+ [tex]4\frac{5}{6}[/tex]
[tex]5\frac{8}{6}=6\frac{2}{6}=6\frac{1}{3}[/tex]
