The fractions can be easily compared if we give them common denominators. The lowest common denominator they can have is 24, so multiply each fraction by certain values so their denominators become 24.
2 * 8 = 16
3 * 8 = 24
16/24
3 * 3 = 9
8 * 3 = 24
9/24
1 * 4 = 4
6 * 4 = 24
4/24
3 * 6 = 18
4 * 6 = 24
18/24
From those fractions, simply pick the one with the lowest numerator. It is 4/24, or the answer choice 1/6.