Final answer:
The algebraic expression simplifies to (u + 5)/v. This is done by adding the numerators u and 5, as they share the same denominator v.
Step-by-step explanation:
The student's question is asking to simplify the algebraic expression u/v + 5/v by finding a common denominator and combining the terms. Since both terms already have the same denominator v, we can simply add the numerators together. The combined expression is (u + 5)/v.
To solve this expression:
- Identify the knowns. We are given the terms u/v and 5/v.
- Identify the unknown. In this case, the unknown is the simplified form of the expression.
- Choose the appropriate equation. The equation is simply the addition of the two fractions with common denominators.
- Plug the knowns into the equation. By adding the numerators u and 5, we get the equation u = (u + 5)/v.
Thus, the simplified expression is (u + 5)/v.