3 4/5 - 2/3

In order to subtract these fractions, we need to have a common denominator. The least common denominator for 5 and 3 is 15.

Converting 3 4/5 to an improper fraction:
3 * 5 = 15
15 + 4 = 19

So, 3 4/5 is equal to 19/5

Converting 2/3 to have a denominator of 15:
2 * 5 = 10

So, 2/3 is equal to 10/15

Now we can subtract the fractions:

19/5 - 10/15

Now, we need to make the denominators equal:

19/5 * 3/3 = 57/15
10/15

Subtracting the numerators:

57/15 - 10/15 = 47/15

Therefore, 3 4/5 - 2/3 = 47/15 or 3 2/15.