\[ \frac{16}{10}-\frac{15}{10}=? \] Multiple Choice Question Subtract (Model and Rename Difference) Choose the model and equation that represent \( 3 \frac{3}{10}-1 \frac{5}{10} \). \[ \frac{33}{10}-\frac{15}{10}=? \] A C B \[ \frac{30}{10}-\frac{15}{10}=? \]

To determine which model and equation correctly represent the subtraction \( 3 \frac{3}{10} - 1 \frac{5}{10} \), let's break it down step by step. ### Step 1: Convert Mixed Numbers to Improper Fractions 1. **Convert \( 3 \frac{3}{10} \):** \[ 3 \frac{3}{10} = \left(3 \times 10\right) + 3 = 30 + 3 = \frac{33}{10} \] 2. **Convert \( 1 \frac{5}{10} \):** \[ 1 \frac{5}{10} = \left(1 \times 10\right) + 5 = 10 + 5 = \frac{15}{10} \] ### Step 2: Set Up the Subtraction Now, subtract the two improper fractions: \[ \frac{33}{10} - \frac{15}{10} \] ### Step 3: Evaluate the Subtraction \[ \frac{33}{10} - \frac{15}{10} = \frac{33 - 15}{10} = \frac{18}{10} = 1 \frac{8}{10} \] ### Step 4: Identify the Correct Option Given the multiple-choice options: - **A** \[ \frac{33}{10} - \frac{15}{10} = ? \] - **B** \[ \frac{30}{10} - \frac{15}{10} = ? \] - **C** \[ \frac{30}{10} - \frac{15}{10} = ? \] The correct representation is clearly **Option A**: \[ \frac{33}{10} - \frac{15}{10} = ? \] **Answer:** **A**