Final answer:
The expression with the greatest value is 5 divided by 1/6, which equals 30.
Step-by-step explanation:
To determine which expression has the greatest value, we need to divide the given numbers by the respective fractions.
A) 3 divided by 1/6 = 3 * 6/1 = 3 * 6 = 18
B) 5 divided by 1/6 = 5 * 6/1 = 5 * 6 = 30
C) 5 divided by 1/2 = 5 * 2/1 = 5 * 2 = 10
D) 3 divided by 1/2 = 3 * 2/1 = 3 * 2 = 6
Hence, the expression with the greatest value is B) 5 divided by 1/6, which equals 30.