Building on this question on SO, when comparing positive fraction to determine which is the largest/smallest, is it safe to consider the absolute difference between the Numerator and Denominator, assuming the fractions are in the lowest forms?
Although the attached SO question mentions it false, is it feasible if the fractions are in their lowest forms?
For example, consider the fractions:
If we want to determine the smallest of these, we proceed as:
a) |128 - 33| = 95
b) |138 - 45| = 93
c) |216 - 53| = 153
d) |324 - 83| = 241
e) |59 - 15| = 44
Using this procedure can we safely assume 83/324 is the smallest fraction? (considering all of the fractions are in the lowest form)