6. Three fractions with numerators of 1 and different denominators (natural numbers) sum up to 1. Find these fractions.
6. \(\frac{1}{2}, \frac{1}{3}, \frac{1}{6}\). Hint. Show that the greatest of the sought fractions is \(\frac{1}{2}\). (KvN, 1972, No. 2, p. 72.)