Processes \&Practices Explain to a Friend Write and solve a real-world problem for \( \frac{1}{2} \div 3 \). Draw a model. Then explain the meaning of the quotient.

Let's break down the problem \( \frac{1}{2} \div 3 \) in a real-world context. ### Step 1: Define the Problem Imagine you have half a pizza, and you want to share it equally among 3 friends (including yourself). The question is: how much pizza does each person get? ### Step 2: Set Up the Division We can express this situation mathematically as: \[ \frac{1}{2} \div 3 \] ### Step 3: Solve the Division To solve \( \frac{1}{2} \div 3 \), we can rewrite the division as multiplication by the reciprocal: \[ \frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} \] Now, we multiply the fractions: \[ \frac{1 \times 1}{2 \times 3} = \frac{1}{6} \] ### Step 4: Interpret the Result The result \( \frac{1}{6} \) means that each person gets one-sixth of the half pizza. ### Step 5: Draw a Model To visualize this, we can draw a model of the half pizza divided into 3 equal parts: 1. Draw a circle to represent the whole pizza. 2. Shade half of the circle to represent the half pizza you have. 3. Divide the shaded half into 3 equal sections. Each section represents \( \frac{1}{6} \) of the whole pizza. ### Conclusion In conclusion, when you divide half a pizza among 3 people, each person receives \( \frac{1}{6} \) of the whole pizza. This illustrates how division can be used to share quantities evenly among a group.