Question

Find the unit rate: 6 and 2/5 rotations in 2 and 2/3 seconds.

Answer 1

I'd suggest you write "6 2/5," not "6 and 2/5."

6 2/5 rotations
-------------------- = 
2 2/3 seconds

32
---
 5            32       3
------- = ------ * -----
 8              5       8                 Reduce that 32/8:  obtain 4.
---
 3

Then we have

4(3)/5, or 12/5 rotations per sec.