Problem 117 - Introductory Algebra for College Students

Question

Perform the indicated operation. Write the answer as an algebraic expression. $$\frac{11}{x}+\frac{9}{x}$$

Step-by-Step Solution

Answer

\(\frac{20}{x}\)

Step 1: Identify the like denominators

Both terms, \(\frac{11}{x}\) and \(\frac{9}{x}\) have the same denominator, \(x\).

Step 2: Combine the fractions

When the denominators are the same, they can be added directly. So, add the numerators of the fractions. This results in \(\frac{11+9}{x}\).

Step 3: Simplify

Simplify the numerator, 11+9 equals to 20. Therefore, the result is \(\frac{20}{x}\).