which fraction is bigger and why	16/17 or 23/24?

To compare \( \frac{16}{17} \) and \( \frac{23}{24} \), we can use a common method by cross-multiplying the numerators and denominators:

- Multiply the numerator of the first fraction by the denominator of the second fraction:  
  \( 16 \times 24 = 384 \)

- Multiply the numerator of the second fraction by the denominator of the first fraction:  
  \( 23 \times 17 = 391 \)

Since \( 391 > 384 \), we know that \( \frac{23}{24} \) is larger than \( \frac{16}{17} \).

**Why?**  
Cross-multiplying allows us to compare fractions without needing to convert them to decimals or find a common denominator. The larger product indicates the larger fraction.

Would you like a more detailed explanation or any further questions?

### 5 related questions:
1. How can you convert fractions to decimals to compare them?
2. What is the method of finding a common denominator to compare fractions?
3. How can we compare three or more fractions?
4. How do improper fractions compare to proper fractions?
5. What is the role of prime factorization in simplifying fractions?

**Tip:** Cross-multiplication is one of the quickest methods to compare two fractions without actually calculating their decimal equivalents.

which fraction is bigger and why 16/17 or 23/24?

Learn how to compare fractions using the cross-multiplication method with the example of 16/17 and 23/24. Understand why 23/24 is larger and how cross-multiplication works to compare fractions easily without converting to decimals. Suitable for students in Grades 5-7.

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