Roger and tina took a test. roger finished in 2 2/3 hours. tina finished in 2 5/6 hours. who finished first?

Roger finished first.
2 2/3 is equal to 2 4/6. And then 2 and 4/6 is less than 2 and 5/6.

The easiest way to answer this question is to convert both times into minutes:

Roger:
2 and 2/3 hours
(60 minutes in an hour), so 2 x 60 + 2/3 x 60
= 120 + 40
= 160 minutes

Tina:
2 and 5/6 hours
2 x 60 + 5/6 x 60
= 120 + 50
= 170 minutes

As 160 is smaller than 170, Roger took less time to finish his test and therefore was the first one to be finished.