Your best bet would be to convert 3 2/5 and 2 1/3 into improper fractions and then to multiply these improper fractions together:
17 7 119
--- * -- = ----------
5 3 15
Next, use long division to divide 15 into 119: 7.9333333333333....
Last, convert 0.93333333333.... into a fraction:
0.93333333... = 14/15
Thus, your answer is 7 14/15.
