First, we need to convert the mixed number of hours to an improper fraction:
2 (1)/(2) hours = 2 + 1/2 = (4/2) + 1/2 = 5/2 hours
Next, we calculate the fraction of a picture painted per hour:
Fraction painted per hour = (3)/(4) / (5)/(2) = (3)/(4) * (2)/(5) = (6)/(20) = (3)/(10)
Now, we can calculate the number of pictures painted in 5 hours:
Pictures painted in 5 hours = (3)/(10) * 5 = (15)/(10) = 1.5
The answer is : 1.5 picture