Solve: $\frac{x}{2} + \frac{7}{2}$
Understand the Problem
The question is asking to solve \frac{x}{2} + \frac{7}{2}. Since both fractions have the same denominator, we can simply add the numerators over the common denominator.
Answer
$\frac{x + 7}{2}$
Answer for screen readers
$\frac{x + 7}{2}$
Steps to Solve
- Identify the common denominator
Both fractions have the same denominator, which is 2.
- Add the numerators
Add the numerators $x$ and $7$. This gives $x + 7$.
- Write the result over the common denominator
Combine the sum of the numerators over the common denominator, resulting in the simplified expression:
$$ \frac{x + 7}{2} $$
$\frac{x + 7}{2}$
More Information
The expression $\frac{x}{2} + \frac{7}{2}$ simplifies to $\frac{x + 7}{2}$. Since $x$ is a variable, this is the most simplified form unless we are given a value for $x$.
Tips
A common mistake is to try to simplify the expression further when it is already in its simplest form. The expression $\frac{x+7}{2}$ cannot be simplified to $\frac{x}{2} + 7$ or $\frac{x}{2} + \frac{7}{2}$ without changing its value.
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