Let's analyze and compare the two expressions given in the statement \(3 \div 2\) and \(2 \div 3\).
1. First, calculate \(3 \div 2\):
[tex]\[
3 \div 2 = 1.5
\][/tex]
2. Next, calculate \(2 \div 3\):
[tex]\[
2 \div 3 \approx 0.6666666666666666
\][/tex]
3. Now we need to determine if these two results are equal:
[tex]\[
1.5 \neq 0.6666666666666666
\][/tex]
Since \(1.5\) is not equal to \(0.6666666666666666\), the statement \(3 \div 2 = 2 \div 3\) is false.
Therefore, the correct answer is:
B. False
