GMAT Arithmetic: Of the following, which is least?
Question
Of the following, which is least?
- (0.03)/(0.00071)
- (0.03)/(0.0071)
- (0.03)/(0.071)
- (0.03)/(0.71)
- (0.03)/(7.1)
Topics: calculations, decimals, comparisons
Solution
Step 1
We apply ("Chain Rule for Inequalities") to note that the denominators increase in the following order
0.00071<0.0071<0.071<0.71<7.1
Step 2
We observe that with the same positive numerator, a larger denominator gives a smaller fraction
(0.03)/(0.00071)>(0.03)/(0.0071)>(0.03)/(0.071)>(0.03)/(0.71)>(0.03)/(7.1)
Step 3
We see that the fraction with the largest denominator is the smallest
(0.03)/(7.1) (Option E)
Answer
(0.03)/(7.1) (E)
