First, find the common ratio: (2/3)/(3/2) = 4/9
Second, factor the infinite geometric series: (3/2)*((4/9)^0 + (4/9)^1 + (4/9)^2 + (4/9)^3 + ... )
Third, use the formula 1/(1-x) to solve for ((4/9)^0 + (4/9)^1 + (4/9)^2 + (4/9)^3 + ... ), where x = 4/9: 1/(1-4/9) = 9/5
Lastly, simplify: (3/2)*(9/5) = 27/10 or 2.7
