Fill in the place holders with the correct symbol > or < :
(i) `(3)/(4)square(3)/(5)`
(ii) `(7)/(8)square(7)/(10)`
(iii) `(4)/(11)square(4)/(9)`
(iv) `(8)/(11)square(8)/(13)`
(v) `(5)/(12)square(5)/(8)`
(vi) `(11)/(14)square(11)/(15)`

Answer

To solve the problem of comparing fractions, we will follow the rule that states: when two fractions have the same numerator, the fraction with the smaller denominator is the greater fraction. Let's apply this rule step by step for each part of the question.

### Step-by-Step Solution:

**(i)** Compare \( \frac{3}{4} \) and \( \frac{3}{5} \):
- Both fractions have the same numerator (3).
- Compare the denominators: 4 and 5.
- Since 4 is smaller than 5, \( \frac{3}{4} > \frac{3}{5} \).

**Answer:** \( \frac{3}{4} > \frac{3}{5} \)

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**(ii)** Compare \( \frac{7}{8} \) and \( \frac{7}{10} \):
- Both fractions have the same numerator (7).
- Compare the denominators: 8 and 10.
- Since 8 is smaller than 10, \( \frac{7}{8} > \frac{7}{10} \).

**Answer:** \( \frac{7}{8} > \frac{7}{10} \)

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**(iii)** Compare \( \frac{4}{11} \) and \( \frac{4}{9} \):
- Both fractions have the same numerator (4).
- Compare the denominators: 11 and 9.
- Since 9 is smaller than 11, \( \frac{4}{4} < \frac{4}{9} \).

**Answer:** \( \frac{4}{11} < \frac{4}{9} \)

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**(iv)** Compare \( \frac{8}{11} \) and \( \frac{8}{13} \):
- Both fractions have the same numerator (8).
- Compare the denominators: 11 and 13.
- Since 11 is smaller than 13, \( \frac{8}{11} > \frac{8}{13} \).

**Answer:** \( \frac{8}{11} > \frac{8}{13} \)

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**(v)** Compare \( \frac{5}{12} \) and \( \frac{5}{8} \):
- Both fractions have the same numerator (5).
- Compare the denominators: 12 and 8.
- Since 8 is smaller than 12, \( \frac{5}{12} < \frac{5}{8} \).

**Answer:** \( \frac{5}{12} < \frac{5}{8} \)

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**(vi)** Compare \( \frac{11}{14} \) and \( \frac{11}{15} \):
- Both fractions have the same numerator (11).
- Compare the denominators: 14 and 15.
- Since 14 is smaller than 15, \( \frac{11}{14} > \frac{11}{15} \).

**Answer:** \( \frac{11}{14} > \frac{11}{15} \)

### Final Answers:
1. \( \frac{3}{4} > \frac{3}{5} \)
2. \( \frac{7}{8} > \frac{7}{10} \)
3. \( \frac{4}{11} < \frac{4}{9} \)
4. \( \frac{8}{11} > \frac{8}{13} \)
5. \( \frac{5}{12} < \frac{5}{8} \)
6. \( \frac{11}{14} > \frac{11}{15} \)