Golenevskes-Kumuzovo t.i.

a) Come up with three correct irreducible fractions, the sum of which is an integer, and if each of these fractions is "inverted" (i.e., replaced with its reciprocal), the sum of the resulting fractions will also be an integer.

b) The same, but the numerators of the fractions are unequal natural numbers.
a) Select three fractions with numerators equal to 1.

b) First, find three fractions with different denominators that sum up to 1.

## Answer

a) For example, $1 / 2, 1 / 3, 1 / 6$. b) For example, $2 / 11, 3 / 11, 6 / 11$.