Late to the party, but it depends on what you are using the result for.
As we know, keep the whole and fractional separate. So in this case 9 /3 = 3.
Now you have 11/16 Divide the 11 by 3 and you have 3 with 2/3 of a 16th left over. So we're at 3 3/16 with almost an entire 16th remaining - probably close enough to 1/4. If you need it more precise, measure it in 32nds. So 11/16 is 22/32. Divide 22 by 3 and you have 7/32 with 1/3 of a 32 left over. So it's 3 7/32. 64ths? 44/64, 44/3 = 14 with 2/3 of a 64th left over, so 3 15/64 would be pretty close. And so on.
Those are for if you're actually trying to measure something. For exact values you can convert to decimal as others have done, but unless you have a decimal measuring device you're going to have to convert back - right?