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 can treat this problem as a fraction of a fraction.
First, let's find out how many rooms Paige painted last year:
4/5 * number of rooms = number of rooms Paige painted last year
4/5 * number of rooms = 4/5 * x
Now, let's find out how many rooms Paige completed by the end of the year:
2/3 * (4/5 * x) = 8/15 * x
So, Paige painted 8/15 of her home last year.