I understand the meaning of music notations such as 3/4, 4/4 and so on. The first number is the number of beats per measure, while the second number is the note-duration (quarter, half, one-eighth) for each beat in the measure.
Does this mean that, a (hypothetical) music piece written as 3/4 with 4 measures in length can be expressed as 4/4 with 3 measures in length? Note that in both cases, there are 12 beats. It seems to me that by just changing the position of bars a 3/4 music can be expressed as 4/4 music, as long the original 3/4 music had 4 measures or any multiple of 4 measures (such as 8, 12, 16 and so on).
Is my understanding correct?