This is a problem that can be solved in about 30 seconds.
Refer to the video done by
GMATPrepNow in the answer to the below problem.
The direction of increase and decrease is what you need to focus on in this problem.
Only D is the answer that correctly applies the properties of fractions as you increase the N and D by the same amount the closer to 1 the fraction becomes.
This is true for both fractions that are greater than 1 and fractions, in this case, and fractions that are less than 1.
https://gmatclub.com/forum/if-the-ratio ... l#p2461276You should think back to your days in Calculus class when you discuss asymptotes. As the denominator gets infinitely large it approaches 0. As both denominator and numerator get infinitely large the fraction approaches 1.
Add 100 to each interval:
4/5 => 4 + 100 / 5 + 100 = 104 / 105 ~ this is very close to 1
Now add 1,000,000 to the D and N:
4 +1,000,000 / 5 + 1,000,000 . = 1,000,004 / 1,000,005 ~ this is essentially 1
The same phenomenon happens to fractions that are greater than 1. The only difference is the fraction approaches 1 from a number greater than 1 as is happening in this problem.
The answers are given to you with numerators that are very easily convert into fractions of 100 or actual decimals.
A 7/5 => 1.4
B 3/2 => 1.5
C 13/10 => 1.3
D 6/5 => 1.2
E 6/4 => 1.5
Only one of these is a decrease from 1.25 which means only one is decreasing to approach 1.
A 7/5 => 1.4 > 1.5
B 3/2 => 1.5 > 1.5
C 13/10 => 1.3 > 1.5
D 6/5 =>
1.2 < 1.5E 6/4 => 1.5 > 1.5