Put It Together Use what you have learned to complete this task. Part A Draw a model to show the fraction \( \frac{6}{10} \) and two equivalent fraction

Sure! Let's work through **Part A** together. ### **Part A: Drawing a Model for \( \frac{6}{10} \) and Two Equivalent Fractions** #### **1. Drawing a Fraction Bar Model for \( \frac{6}{10} \):** A **fraction bar model** visually represents a fraction by dividing a bar into equal parts. - **Step 1:** Draw a rectangle (this is your whole). - **Step 2:** Divide the rectangle into **10 equal parts** since the denominator is 10. - **Step 3:** Shade **6 out of the 10 parts** to represent \( \frac{6}{10} \).  *If you're drawing this, visualize a rectangle split into 10 equal sections with 6 of them shaded.* #### **2. Identifying Two Equivalent Fractions:** Equivalent fractions are different fractions that represent the same value. - **First Equivalent Fraction:** \( \frac{3}{5} \) - **Explanation:** Simplify \( \frac{6}{10} \) by dividing both numerator and denominator by 2. \[ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \] - **Second Equivalent Fraction:** \( \frac{12}{20} \) - **Explanation:** Multiply both numerator and denominator of \( \frac{6}{10} \) by 2. \[ \frac{6 \times 2}{10 \times 2} = \frac{12}{20} \] #### **3. Drawing Fraction Bar Models for the Equivalent Fractions:** - **For \( \frac{3}{5} \):** - **Step 1:** Draw a rectangle. - **Step 2:** Divide it into **5 equal parts**. - **Step 3:** Shade **3 out of the 5 parts**.  - **For \( \frac{12}{20} \):** - **Step 1:** Draw a rectangle. - **Step 2:** Divide it into **20 equal parts**. - **Step 3:** Shade **12 out of the 20 parts**.  *If you're drawing these, ensure the divisions are equal and accurately represent the shaded portions.* #### **Visual Summary:** | Fraction | Model Description | |----------|--------------------------------------------------------| | \( \frac{6}{10} \) | Rectangle divided into 10 parts, 6 shaded | | \( \frac{3}{5} \) | Rectangle divided into 5 parts, 3 shaded | | \( \frac{12}{20} \)| Rectangle divided into 20 parts, 12 shaded | These models help visualize that \( \frac{6}{10} \), \( \frac{3}{5} \), and \( \frac{12}{20} \) all represent the same portion of a whole. --- **Feel free to draw these models on paper using the steps provided to get a clear visual understanding!**