2 1/3 + 4 1/4 - 3 2/5

To add and subtract mixed numbers, we first need to convert them to improper fractions.

2 1/3 = 7/3
4 1/4 = 17/4
3 2/5 = 17/5

Now we can add and subtract the fractions:

7/3 + 17/4 - 17/5

To add these fractions, we need to find a common denominator. The least common multiple of 3, 4, and 5 is 60.

(7/3) * (20/20) = 140/60
(17/4) * (15/15) = 255/60
(17/5) * (12/12) = 204/60

Now we can add the fractions:

140/60 + 255/60 - 204/60 = 191/60

Now we need to convert the improper fraction back to a mixed number:

191 ÷ 60 = 3 with a remainder of 11

So, the final answer is 3 11/60.

2 1/3 = 7/3

4 1/4 = 17/4

3 2/5 = 17/5

17/4 - 17/5 = 85/20 - 68/20 = 17/20

7/3 - 17/20 = 140/60 - 51/60 = 89/60 = 1 49/60