Multiple Choice Question Subtract with and without Renaming \( 3 \frac{3}{6}-1 \frac{5}{6} \) Subtract: \( 1 \frac{4}{6} \) O \( 1 \frac{4}{0} \) \( 02 \frac{4}{6} \)

To solve the subtraction of mixed numbers \( 3 \frac{3}{6} - 1 \frac{5}{6} \), let's break it down step by step. ### Step 1: Convert Mixed Numbers to Improper Fractions 1. **Convert \( 3 \frac{3}{6} \) to an improper fraction:** \[ 3 \frac{3}{6} = \frac{3 \times 6 + 3}{6} = \frac{18 + 3}{6} = \frac{21}{6} \] 2. **Convert \( 1 \frac{5}{6} \) to an improper fraction:** \[ 1 \frac{5}{6} = \frac{1 \times 6 + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6} \] ### Step 2: Subtract the Improper Fractions \[ \frac{21}{6} - \frac{11}{6} = \frac{21 - 11}{6} = \frac{10}{6} \] ### Step 3: Simplify the Fraction \[ \frac{10}{6} = \frac{5}{3} = 1 \frac{2}{3} \] ### Step 4: Analyze the Multiple Choice Options Given the options: - A) \( 1 \frac{4}{6} \) - B) \( 1 \frac{4}{0} \) (which is undefined) - C) \( 2 \frac{4}{6} \) **Option A:** \( 1 \frac{4}{6} \) simplifies to \( 1 \frac{2}{3} \), which matches our calculated result. **Option B:** \( 1 \frac{4}{0} \) is undefined because division by zero is not possible. **Option C:** \( 2 \frac{4}{6} \) simplifies to \( 2 \frac{2}{3} \), which is not the correct answer. ### **Correct Answer:** **A) \( 1 \frac{4}{6} \)**