Question

Counter example. The sum of three fractions with odd numerators is never 1/2

Answer 1

One possible counterexample is:

1/4 + 1/5 + 1/20 = 1/2.

In this problem, we would find the least common denominator for 4, 5 and 20. The first thing all 3 numbers will divide into is 20:

1/4 = 5/20; 1/5 = 4/20; 1/20 = 1/20

This gives us: 5/20 + 4/20 + 1/20

Adding the numerators, we get (5+4+1)/20 = 10/20 = 1/2.

Answer 2

1/6 + 1/6 + 1/6 = 3/6 = 1/2