Problem 73 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{12}-\frac{5}{12}$$

Step-by-Step Solution

Answer

The result of \(\frac{7}{12}-\frac{5}{12}\) simplified to its lowest terms is \(\frac{1}{6}\).

Step 1: Identify Similar Denominators

Notice that both fractions have 12 as a denominator.

Step 2: Subtract Numerators

With similar denominators, fractions can be subtracted by subtracting the numerators. The calculation here is \(7-5\). The denominator remains the same.

Step 3: Simplify Fraction

Simplify the resulting fraction which is \(\frac{2}{12}\). The numerator and the denominator have a common factor of 2, so we can reduce the fraction by dividing both by 2, results in \(\frac{1}{6}\).