1. **Stating the problem:** Morgan and Freddy are debating whether splitting a pizza into smaller fractions results in more pieces of pizza to share. 2. **Understanding fractions and pieces:** When you split a pizza into fractions, each fraction represents a part of the whole pizza. For example, cutting a pizza into halves means 2 pieces, quarters means 4 pieces, eighths means 8 pieces, and so on. 3. **Morgan's claim:** Splitting the pizza into smaller fractions means increasing the number of pieces. For example, cutting into eighths (smaller fractions) gives more pieces than cutting into halves. 4. **Freddy's claim:** Splitting into smaller fractions does not increase the number of pieces. 5. **Analyzing the claims:** The number of pieces is directly related to the denominator of the fraction. A smaller fraction (like 1/8) means the pizza is divided into more pieces (8 pieces), while a larger fraction (like 1/2) means fewer pieces (2 pieces). 6. **Conclusion:** Morgan is correct because splitting the pizza into smaller fractions increases the number of pieces. 7. **Similarity of fractions:** The fractions represent parts of the same whole (the pizza). They are similar because they all describe portions of the pizza, just with different sizes depending on the denominator. **Final answer:** Morgan is correct. Splitting the pizza into smaller fractions results in more pieces to share. **Summary:** Smaller fractions mean more pieces because the denominator indicates how many equal parts the whole is divided into.