If Josie used 2/5 of the whole bottle of red paint during art class and 3/5 of the bottle was left at the end of class, then the fractional part of red paint that was in the bottle at the beginning of art class can be found by adding the fractions of the amount used and the amount left:
Fraction of red paint at the beginning = Fraction used + Fraction left
Fraction of red paint at the beginning = 2/5 + 3/5
Fraction of red paint at the beginning = 5/5
Therefore, the entire bottle of red paint was in the bottle at the beginning of art class, which can be represented as the fraction 1/1.