11/3 is the greater fraction because first you need to make 2 5/6 a whole fraction by adding the two in which makes it 17/6 then you have to make 11/3 and 17/6 equal my multiplying 11/3 by 2 to make the denominator the same.this would result in the fraction becoming 22/6. 22/6 is greater than 17/6, so therefor, 11/3 is greater than 2 5/6