Hi everyone, I'm sure there's a trick to most questions if it seems too long to do it the obvious way, for example,

question 22 in the problem solving secion of og 11th edition goes as follows:

If each of the following fractions were written as a repeating decimal, which would have the longest sequence of different digits?
a) 2/11 b) 1/3 c) 41/99 d) 2/3 e) 23/37

Is there a quicker way to finding the answer to this than actually dividing each number to check?

Any help or tips for questions like this would be much appreciated