When thinking of fractions, imagine one pie. The denominator tells you how many
slices the pie is broken into, and the numerator tells you how many of those slices
you have. So the fraction^14 means you have 1 slice of a pie that has been cut into
4 slices.Numerator = (^1) Denominator = 4
Now let’s look at what happens when the numerator and denominator of a fraction
change. Let’s compare^18 to^14.
1
8
In this case, you are still dealing with one pie, but now the pie is broken up into 8
slices instead of 4. One slice out of 8 is less than 1 slice out of 4. From this, you can
derive a general rule:
As the denominator of a positive fraction increases, the value of the fraction
decreases.
Now let’s compare^24 to^14.
1
4
2
4
Again, each fraction represents one pie, and in both cases, the number of slices is
the same. Two slices from a 4-slice pie is more than 1 slice from a 4-slice pie. Thus^24
is greater than^14. From this, you can derive a general rule:
As the numerator of a positive fraction increases, the value of the fraction increases.
Quantitative Comparison Strategy: Fractions
When the quantities in a Quantitative Comparison question are fractions, focus on
the relationships between numerator and denominator. If the denominators are the
same, the fraction with the larger numerator will be greater. If the numerators are
the same, the fraction with the smaller denominator will be greater.
QUANTITY A QUANTITY B
1007 10072 A B C D
210 PART 4 ■ MATH REVIEW
03-GRE-Test-2018_173-312.indd 210 12/05/17 11:51 am