Question

2/3*3/2
$1 \div 2 \times 2 \div 3$

Answer 1

2/3*3/2=1 as 3/2 is the RECIPROCAL(multiplicative inverse) of 2/3.
So the answer is and should be 1.

1/2*2/3=1/3(2 gets cut in both the numerator and the denominator).