Problem 67 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{2}{11}+\frac{4}{11}$$

Step-by-Step Solution

Answer

The result of \(\frac{2}{11} + \frac{4}{11} = \frac{6}{11}\).

Step 1: Identify Like Denominators

Observe the two fractions, \(\frac{2}{11}\) and \(\frac{4}{11}\). Both fractions have the same denominator, which is 11.

Step 2: Add the Numerators

For fractions with like denominators, simply add the numerators while keeping the denominator the same. Result is \(\frac{2+4}{11} = \frac{6}{11}\).

Step 3: Simplify the Result

The fraction \(\frac{6}{11}\) is already in its simplest form as 6 and 11 have no common factors other than 1. Hence, the fraction can't be reduced any further.