Efficient way of solving fraction

Hey, how to solve such questions efficiently. Is there a trick or do i have to waste time and rely on calculator?

f the numbers 19/36, 5/11, 12/25, 6/11, and 8/18 were arranged from least to greatest, which number would be in the middle?

19/36
12/25
6/11
5/11
8/18

Hint: the numbers look near \frac{1}{2}. Can you quickly find out which numbers are greater than and less than that?

Yes, so 19/36 and 6/11 are greater than 1/2 and the remaining are less than 1/2

So does that give you a clue on what the median could be?

It has to be either of the first 3. So, again that is when we will have to use the calculator but for fewer values. Is that what you mean?