How to find two fractions between 1/2 and 1/3

1. write 1/2 and 1/3 as fractions with a common denominator.

the common denominator must be a multiple of both 2 and 3, for example 6, 12, 24 etc... 

let the common denominator be 24

(1/2)(12/12)=12/24

(1/3)(8/8)=8/24

2. so , 9/24, 10/24, 11/24 are all fractions between 1/2 and 1/3