Which of the following is correct ?

Question

Accepted Answer

To determine why Option 2 is correct, we need to compare the fractions 3/4, 2/3, and 3/5. Let's evaluate each fraction and compare them:

1. **Convert each fraction to a decimal for easier comparison:**
   - $ \frac{3}{4} = 0.75 $
   - $ \frac{2}{3} \approx 0.6667 $
   - $ \frac{3}{5} = 0.6 $

2. **Compare the decimal values:**
   - $ 0.75 > 0.6667 > 0.6 $

From the above comparison, it is clear that 3/4 is greater than 2/3, and 2/3 is greater than 3/5. Therefore, the correct order is 3/4 > 2/3 > 3/5, which matches Option 2.

### Explanation of Why Other Options are Incorrect:

1. **Option 1: 3/4 > 3/5 > 2/3**
   - According to the decimal values, 3/4 (0.75) is indeed greater than 3/5 (0.6), but 3/5 (0.6) is not greater than 2/3 (0.6667). Therefore, this option is incorrect.

2. **Option 3: 2/3 > 3/5 > 3/4**
   - The decimal value of 2/3 (0.6667) is greater than 3/5 (0.6), but 3/4 (0.75) is greater than both 2/3 and 3/5. Hence, this option is incorrect.

3. **Option 4: 3/5 > 2/3 > 3/4**
   - The decimal value of 3/5 (0.6) is not greater than 2/3 (0.6667), and neither is it greater than 3/4 (0.75). Thus, this option is incorrect.

In conclusion, Option 2 is the correct answer because it accurately reflects the order of the fractions from greatest to least: 3/4 > 2/3 > 3/5.