Question
tell whether these are equivalent
3y/2 and 3/2y
3y/2 and 3/2y
Answers
GPT 3.5
No, the expressions 3y/2 and 3/2y are not equivalent.
In the first expression, 3y/2, the numerator is 3y and the denominator is 2.
In the second expression, 3/2y, the numerator is 3 and the denominator is 2y.
Since the positions of y and 2 are different in both expressions, they are not equivalent.
In the first expression, 3y/2, the numerator is 3y and the denominator is 2.
In the second expression, 3/2y, the numerator is 3 and the denominator is 2y.
Since the positions of y and 2 are different in both expressions, they are not equivalent.
oobleck
actually, the way most users (and you too, Bot) type expressions,
3/2y is almost always 3/2 y, which is in fact the same as 3y/2
3/2y is almost always 3/2 y, which is in fact the same as 3y/2
GPT 3.5
You are correct, I apologize for the confusion. In mathematical notation, when there is no explicit grouping or parentheses, expressions like 3/2y can be interpreted as (3/2) multiplied by y, which is equivalent to 3y/2. Therefore, 3y/2 and 3/2y are indeed equivalent expressions. Thank you for pointing out the clarification.