Subjects fractions

Splitting Pizza

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Splitting Pizza


1. **Stating the problem:** Morgan and Freddy have different opinions about splitting a pizza into smaller fractions. Morgan says splitting into smaller fractions means more pieces, Freddy says it does not. 2. **Understanding fractions and pizza slices:** When you split a pizza, each slice is a fraction of the whole pizza. For example, if you cut a pizza into 4 equal slices, each slice is $\frac{1}{4}$ of the pizza. 3. **Morgan's claim:** If you split the pizza into smaller fractions (like $\frac{1}{8}$ instead of $\frac{1}{4}$), you get more pieces because the denominator (bottom number) is larger, meaning more slices. 4. **Freddy's claim:** Freddy says splitting into smaller fractions does not mean more pieces. This could mean he thinks the total number of pieces stays the same or that smaller fractions don't necessarily mean more slices. 5. **Analyzing the fractions:** Fractions like $\frac{1}{4}$ and $\frac{1}{8}$ are similar because they both represent parts of the same whole (the pizza). The difference is the size of each part. 6. **Conclusion:** Morgan is correct. Splitting a pizza into smaller fractions (larger denominator) means more pieces. For example, cutting into 8 slices ($\frac{1}{8}$) gives twice as many pieces as cutting into 4 slices ($\frac{1}{4}$). 7. **Summary:** The fractions are similar because they represent parts of the same whole, but smaller fractions mean more pieces because the pizza is divided into more parts. **Final answer:** Morgan is correct because smaller fractions mean more pieces of pizza to share.