Arrange the given fractions in descending order :
(i) `5/17, 4/9, 7/12 " (ii) " 7/12, 11/36, 37/72`.

Answer

To arrange the given fractions in descending order, we will compare them step by step.

### Part (i): Arrange `5/17, 4/9, 7/12`

**Step 1: Convert fractions to decimal form for easy comparison.**
- \( \frac{5}{17} \approx 0.294 \)
- \( \frac{4}{9} \approx 0.444 \)
- \( \frac{7}{12} \approx 0.583 \)

**Step 2: Compare the decimal values.**
- \( 0.583 > 0.444 > 0.294 \)

**Step 3: Write the fractions in descending order.**
- The fractions in descending order are: \( \frac{7}{12}, \frac{4}{9}, \frac{5}{17} \)

### Part (ii): Arrange `7/12, 11/36, 37/72`

**Step 1: Convert all fractions to have a common denominator.**
- The least common multiple (LCM) of the denominators (12, 36, 72) is 72.

**Step 2: Convert each fraction to have a denominator of 72.**
- \( \frac{7}{12} = \frac{7 \times 6}{12 \times 6} = \frac{42}{72} \)
- \( \frac{11}{36} = \frac{11 \times 2}{36 \times 2} = \frac{22}{72} \)
- \( \frac{37}{72} \) remains \( \frac{37}{72} \)

**Step 3: Compare the numerators.**
- \( 42 > 37 > 22 \)

**Step 4: Write the fractions in descending order.**
- The fractions in descending order are: \( \frac{7}{12}, \frac{37}{72}, \frac{11}{36} \)

### Final Answer:
1. For (i): \( \frac{7}{12}, \frac{4}{9}, \frac{5}{17} \)
2. For (ii): \( \frac{7}{12}, \frac{37}{72}, \frac{11}{36} \)