Compare
(i) `27//4` and `31//50`
(ii) `4//5` and `7//8`

Explanation

To compare the given fractions, we will follow these steps:

### (i) Compare `27/4` and `31/50`

**Step 1: Find the LCM of the denominators.**
- The denominators are 4 and 50.
- The LCM of 4 and 50 is 100.

**Step 2: Convert both fractions to have the same denominator (100).**
- For `27/4`, we need to multiply both the numerator and denominator by 25:
\[ \frac{27 \times 25}{4 \times 25} = \frac{675}{100} \]
- For `31/50`, we need to multiply both the numerator and denominator by 2:
\[ \frac{31 \times 2}{50 \times 2} = \frac{62}{100} \]

**Step 3: Compare the numerators.**
- Now we have:
\[ \frac{675}{100} \quad \text{and} \quad \frac{62}{100} \]
- Since 675 is greater than 62, we conclude:
\[ \frac{27}{4} > \frac{31}{50} \]

### (ii) Compare `4/5` and `7/8`

**Step 1: Find the LCM of the denominators.**
- The denominators are 5 and 8.
- The LCM of 5 and 8 is 40.

**Step 2: Convert both fractions to have the same denominator (40).**
- For `4/5`, we multiply both the numerator and denominator by 8:
\[ \frac{4 \times 8}{5 \times 8} = \frac{32}{40} \]
- For `7/8`, we multiply both the numerator and denominator by 5:
\[ \frac{7 \times 5}{8 \times 5} = \frac{35}{40} \]

**Step 3: Compare the numerators.**
- Now we have:
\[ \frac{32}{40} \quad \text{and} \quad \frac{35}{40} \]
- Since 35 is greater than 32, we conclude:
\[ \frac{7}{8} > \frac{4}{5} \]

### Final Answers:
1. \( \frac{27}{4} > \frac{31}{50} \)
2. \( \frac{7}{8} > \frac{4}{5} \)