Question

David went to the lake and fished for 1 1/2 hours and kayaked for 4 5/6 hours. In total, how much time did he spend at the lake?

Answer 1

`6(1)/(3)hours`

Explanation:

Since David fished for a
`1(1)/(2)` hours and kayaked for another
`4(5)/(6)` hours, the sum of these two mixed numbers will be the total time that he spent at the lake:

`1(1)/(2)` +
`4(5)/(6)`

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

`1(1)/(2)`=
`1(3)/(6)`

+
`4(5)/(6)`

`5(8)/(6)=6(2)/(6)=6(1)/(3)`