Hi
Gyna,
Great question! I liked the fraction games in my GMAT prep.
There are a few things at play here:
1) Negatives
2) Fractions
Negative fractions should always be a red flag in your mind - anytime you see a negative fraction, you should sound an alarm and label it as a "highly likely trap". Not always but often the question writer will try to confuse you with fractions and negatives thrown together as they work in the opposite way.
You are absolutely right - you do not need to do math in this question! Usually you can identify fractions quickly enough and arrange them just logically without any math. Let's try this question:
A) -11/12 (do you spot that this is almost 1? it is really close to 1). Any time the numerator/denominator are very close, the number is inching close to 1, and obviously that's not so true in 1/2 but it is really really close for 99/100, so the larger the number, the closer we are to 1. Anyway, this is our smallest fraction actually as it is negative, let's say it is -1
B) -2/5 is around -0.5 - that's as precise we need to do
C) -1/3 - that's the biggest so far. Good but let's check the last 2 answers
D) -7/9 - that's up there with -11/12, so no need to bother, we can rule it out
E) -1/8 - that's the winner as you only really need to compare -1/8 and -1/3 and -1/8 is def bigger (1/8 is not bigger than 1/3 but -1/8 is bigger than -1/3)
Anyway, most of the time, you can approximate fractions and get a pretty quick solution. Check this link for the important arithmetic shortcuts you should absolutely know by heart:
https://gmatclub.com/forum/what-arithme ... 80128.html