Which sum difference is equivalent to the following expression 2x+3/4
The sum difference equivalent to the expression 2x + 3/4 can be written as (8x + 3)/4.
To find the equivalent sum and difference expression for the given expression 2x + 3/4, we can separate the terms.
The given expression is 2x + 3/4.
To represent this expression as the sum and difference of two terms, we can rewrite it as:
(2x) + (3/4)
Now, let's rewrite 3/4 as the difference of two terms by finding a common denominator:
(2x) + (3/4)
= (2x) + (3 * 1/4)
Next, we can write 3 * 1/4 as the difference of two terms:
(2x) + (3 * 1/4)
= (2x) + [(3 * 1) - (0 * 1)]/4
Simplifying further, we get:
(2x) + (3 - 0)/4
= (2x) + 3/4
Hence, the given expression 2x + 3/4 is already written as the sum of two terms.
To find the equivalent sum or difference for the expression (2x + 3/4), we can rewrite it using common denominators.
First, let's multiply the 3 by 4/4 to get the same denominator as 4 in the expression:
(2x + 3/4) = (2x + 3 * 4/4) = (2x + 12/4)
Now, we can simplify the expression by dividing both the numerator and denominator by 4:
(2x + 12/4) = (2x + 3)
Therefore, the equivalent sum or difference of the expression (2x + 3/4) is (2x + 3).