Paige decided to paint 4/5 of the rooms in her home last year. By the end of the year, Paige completed 2/3 of those rooms. How much of Paige’s home was painted last year?

To find out how much of Paige's home was painted last year, we need to multiply the fraction of rooms she decided to paint by the fraction of completed rooms.

Fraction of rooms decided to paint = 4/5
Fraction of completed rooms = 2/3

Fraction of home painted last year = (4/5) * (2/3) = 8/15

Therefore, Paige painted 8/15 of her home last year.