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Answer:

Step-by-step explanation:

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To compare the fractions 4/3 and 4/9, you need to determine which fraction is greater or if they are equal. Here's a step-by-step guide to comparing these fractions:

1. Find a common denominator for both fractions. In this case, the least common denominator (LCD) for 3 and 9 is 9.

2. Convert both fractions to have the common denominator of 9:

- 4/3 = (4 * 3) / (3 * 3) = 12/9

- 4/9 remains the same

3. Now, compare the numerators of the fractions:

- 12/9 vs. 4/9

4. Since the denominators are the same (both 9), you can directly compare the numerators:

- 12 is greater than 4

5. Therefore, 12/9 is greater than 4/9.

In conclusion, when comparing 4/3 and 4/9, 4/3 is greater than 4/9.