Find the number that is 3/4 of the way 
from 2 1/3 to 4 1/6

The distance from 2 1/3 to 4 1/6 is found by 
subtracting: 

 4 1/6 =  4 1/6 =  3 7/6
-2 1/3 = -2 2/6 = -2 2/6
------   ------   ------
                   1 5/6

3/4ths of this distance is found by multiplying:

3/4 × (1 5/6) = 3/4 × 11/6 = 33/24 = 11/8 = 1 3/8

Add this distance to 2 1/3

 2 1/3 =  2  8/24
+1 3/8 = +1  9/24
-------  ---------
          3 17/24

That's the answer.

Edwin