Which of the two rational numbers `3/4` and `-5/6` is greater?

Answer

To determine which of the two rational numbers \( \frac{3}{4} \) and \( -\frac{5}{6} \) is greater, we can follow these steps:

### Step 1: Identify the signs of the numbers
- The first number is \( \frac{3}{4} \), which is a positive rational number.
- The second number is \( -\frac{5}{6} \), which is a negative rational number.

### Step 2: Compare the signs
- We know that positive numbers are always greater than negative numbers.

### Step 3: Conclusion
- Since \( \frac{3}{4} \) is positive and \( -\frac{5}{6} \) is negative, we can conclude that:
\[ \frac{3}{4} > -\frac{5}{6} \]

Thus, the greater rational number is \( \frac{3}{4} \).

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