By a unit fraction, we mean a rational number with a numerator of 1. Symbolically, 1 b where b is a nonzero integer. Find six distinct, positive unit fractions whose sum is 1.

Answer 1

1/6 + 1/3 + 1/2 = 1, so
1/9 + 1/18 = 1/6
1/8 + 1/24 = 1/6

1/24 + 1/18 + 1/9 + 1/8 + 1/6 + 1/2 = 1