Problem 74 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{13}{18}-\frac{5}{18}$$

Step-by-Step Solution

Answer

The result of the subtraction \( \frac{13}{18}-\frac{5}{18} \) is \( \frac{4}{9} \).

Step 1: Identify the Fractions for Subtraction

You have two fractions \( \frac{13}{18} \) and \( \frac{5}{18} \). Both these fractions have the same denominator, and therefore can be subtracted directly.

Step 2: Subtract the Numerators

Subtract the numerators of the two fractions. The numerator of the resulting fraction will be \(13 - 5 = 8\). The denominator remains the same, which is 18. So the fractional result is \( \frac{8}{18} \).

Step 3: Simplify the Fraction

Find the Greatest Common Divisor (GCD) of 8 and 18 to simplify the fraction. The GCD of 8 and 18 is 2. Divide both the numerator and the denominator by 2. The simplified form of the fraction will be \( \frac{4}{9} \).