6 and 4 are common factors of 24.
1/6 = 4/24, and 1/4=6/24.
4/24+6/24 =10/24 of the bag is blue and red counters. Therefore, 24/24-10/24=14/24 of the bag is white counters.
14/24 can be simplified to 7/12.
ANSWER: Therefore, the smallest number of white counters possible in the bag is 7.