Question

Perform the following addition and simplify the (x)/(2)+(7)/(2)

Answer 1

The addition and simplification of (x)/(2) + (7)/(2) results in the expression (x + 7) / 2, as both terms share the same denominator.

Step-by-step explanation:

To perform the addition and simplify the expression (x)/(2) + (7)/(2), we notice that both terms have the same denominator, which is 2. So to add them, we simply combine the numerators while keeping the denominator the same.

So, the expression becomes:

(x + 7) / 2

This is the simplified form of the given expression. No further simplification can be done without knowing the value of x.

Using our intuition, just as when we are adding fractions such as 1/2 and 1/3, we find a common denominator to add numerators directly. Here, since the denominators are already the same, we apply this basic principle of fraction addition.