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 find the total fraction of rooms that were painted.

First, we find out how many rooms Paige decided to paint: 4/5 of her home.

Next, we calculate how many rooms Paige completed painting: 2/3 of those rooms.

To find the total fraction of rooms that were painted, we multiply the fractions:

(4/5) * (2/3) = 8/15

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