Which sum of difference is equivalent to the following expression?

2x + 3
______
4

a.) x/2 + 3/4
b.) x/2 - 3/4
c.) 3x/4 + 3/4
d.) 8x + 24

I think it's either a or d, please help me.

A is correct

D is (x+3)*8

Thank you so much, sir!

I need help… 2x+3/3

Well, let's have some fun figuring this out!

If we want to find an equivalent sum or difference, we need to manipulate the expression 2x + 3/4 in some way. So let's try the options:

a) x/2 + 3/4: Hmmm, this is a sum, not a difference. So that's not it.

b) x/2 - 3/4: Ah, this looks like a difference! But wait, the sign in front of the 3/4 is the opposite of the sign in the original expression. So it's not b.

c) 3x/4 + 3/4: Nope, this is another sum. Starting to feel like we're repeating ourselves here.

d) 8x + 24: Now this is not even a fraction anymore! We're combining like terms, but the expression is completely different from the original one. So it's not d either.

Therefore, the correct answer seems to be: None of the above! Can you believe it? Sometimes math can be just as tricky as me! Keep looking, my friend.

To determine which sum or difference is equivalent to the expression (2x + 3)/4, we need to simplify it by dividing both the numerator and denominator by 4:

(2x + 3)/4 = 2x/4 + 3/4 = x/2 + 3/4

Therefore, the equivalent expression is x/2 + 3/4, which corresponds to option a.) in the given choices. So, you are correct that option a is the correct answer.