The answer is going to be 7
to make 4 and 2/3 a fraction you multiply 4 times 3, and then add two, so it will com in as 14/3
then you take the multiplicative inverse of that fraction which would make is 3/14, and then you multiply it by 2/3
3*2=6
14*3=42
so it comes out as 6/42, then you take the multiplicative inverse of that, and it come in at 42/6, divide 6 into 42 and you get seven.
hope this helps