No, 4 divided by 3/2 is not the same as 4 divided by 2/3. Let me explain why:
When you divide a number by a fraction, you can think of it as multiplying by the reciprocal of that fraction. The reciprocal of a fraction is obtained by flipping it (swapping the numerator and denominator).
So, for 4 divided by 3/2:
4 ÷ (3/2) is the same as 4 × (2/3), which equals 8/3 or approximately 2.67.
Now, for 4 divided by 2/3:
4 ÷ (2/3) is the same as 4 × (3/2), which equals 6.
So, 4 divided by 3/2 is 8/3, while 4 divided by 2/3 is 6. These are not the same.