Which sum or difference is equivalent to the following expression?
(2x + 3)/4
(1 point)
x/2 + 3/4
x/2 - 3/4
(3x)/4 + 3/4
8x + 24
The sum or difference equivalent to the expression (2x + 3)/4 is x/2 + 3/4.
To find the sum or difference equivalent to the expression (2x + 3)/4, we can rewrite it in a different form.
First, let's consider the denominator 4. To express it as a sum or difference, we can write it as (4/4) which is equivalent to 1.
Now, let's rewrite the expression using this denominator:
(2x + 3)/4 = (2x)/4 + 3/4
Simplifying (2x)/4, we get x/2. Therefore, the equivalent sum or difference expression is:
x/2 + 3/4
So, the correct answer is: x/2 + 3/4.
To find which sum or difference is equivalent to the expression (2x + 3)/4, we need to simplify the expression first.
To simplify the expression, let's divide each term inside the parentheses by 4:
(2x)/4 + 3/4
This gives us:
x/2 + 3/4
So, the sum or difference that is equivalent to the expression (2x + 3)/4 is x/2 + 3/4.
Therefore, the correct answer is the first option: x/2 + 3/4.