which fraction is greater and why	7/16 or 11/24?

To compare \( \frac{7}{16} \) and \( \frac{11}{24} \), we need to find a common denominator for these fractions.

### Step 1: Find the Least Common Denominator (LCD)
The denominators are 16 and 24. The least common denominator of 16 and 24 is 48 (since 48 is the smallest number divisible by both 16 and 24).

### Step 2: Convert the fractions to have the same denominator
Now, we convert both fractions to have a denominator of 48.

- For \( \frac{7}{16} \):
\[
\frac{7}{16} = \frac{7 \times 3}{16 \times 3} = \frac{21}{48}
\]

- For \( \frac{11}{24} \):
\[
\frac{11}{24} = \frac{11 \times 2}{24 \times 2} = \frac{22}{48}
\]

### Step 3: Compare the numerators
Now, compare \( \frac{21}{48} \) and \( \frac{22}{48} \). Since 22 is greater than 21, we can conclude that:
\[
\frac{11}{24} > \frac{7}{16}
\]

### Conclusion:
The fraction \( \frac{11}{24} \) is greater than \( \frac{7}{16} \), because when both are expressed with the same denominator, \( \frac{11}{24} \) has a larger numerator.

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Would you like more details on any step or have any questions? Here are 5 questions that may help deepen your understanding:

1. How do you find the least common denominator for two numbers?
2. Why do we need a common denominator to compare fractions?
3. Can you explain how to simplify fractions?
4. How would you compare improper fractions?
5. How can you estimate which fraction is larger without using exact methods?

**Tip**: When comparing fractions, it's often quicker to cross-multiply to avoid finding the LCD directly!

which fraction is greater and why 7/16 or 11/24?

Compare fractions 7/16 and 11/24 by finding the least common denominator and converting them to equivalent fractions. Learn how to determine which fraction is greater using simple fraction comparison techniques, suitable for students in Grades 5-6.

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