Problem 32 - Introductory Algebra for College Students

Question

Perform the indicated subtraction. $$-\frac{4}{9}-\frac{1}{9}$$

Step-by-Step Solution

Answer

The answer is \( -\frac{5}{9} \)

Step 1: Convert all terms to fractions

The terms are already fractions with a common denominator, so no need to perform any conversions. \( -\frac{4}{9} - \frac{1}{9} \).

Step 2: Combine like fractions

Since the fractions have the same denominator, their numerators can be subtracted, i.e., -4 - 1. \( -\frac{4}{9}-\frac{1}{9} = -\frac{4-1}{9} \).

Step 3: Perform the subtraction

Subtract the numerators. We get \( -\frac{-5}{9} \).

Step 4: Simplify if necessary

The fraction \( -\frac{5}{9} \) is already in simplest form and cannot be simplified any further.