Problem 69 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{12}+\frac{1}{12}$$

Step-by-Step Solution

Answer

The result of the operation \(\frac{7}{12} + \frac{1}{12}\) is \(\frac{2}{3}\).

Step 1: Identify the Denominators

Recognize that both fractions have the common denominator of 12.

Step 2: Add the Numerators

Since the fractions have the same denominator, directly add the numerators. So, \(7 + 1 = 8\).

Step 3: Write the Result

Write the result as a fraction, using the common denominator of 12. The resulting fraction would be \(\frac{8}{12}\).

Step 4: Simplify the Fraction

Since 8 and 12 have common factors, simplify the fraction. The greatest common factor is 4. Dividing both the numerator and the denominator by 4, the fraction reduces to \(\frac{2}{3}\). This is the fraction in its simplest or lowest terms.