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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?
A. 8/15
B. 6/15
C. 2/9
D. 1/3
To find out how much of Paige's home was painted last year, we need to multiply the fraction of rooms that Paige completed with the fraction of total rooms that Paige decided to paint.
Fraction of rooms completed = 2/3
Fraction of total rooms decided to paint = 4/5
Fraction of Paige's home painted = (2/3) * (4/5)
Fraction of Paige's home painted = 8/15
Therefore, the correct answer is A. 8/15.