If you add all the numerators
and all the denominators in a set of equal
fractions, the result is a fraction equal to those in
the original set.
If you got an A on a test and a C on homework, do
you have a B average?
Lou Abbott and Bud Costello had a comedy routine about
baseball called, "Who's
In the challenge, two players began the
day with the same batting average. Lieberthal batted 1.000
while McEwing batted .800, yet McEwing ended the day with
the higher cumulative batting average. Such unexpected
results are called Simpson's
Paradoxes, after Thomas Simpson, a mathematician
who worked in the 1700s.