Compare `(2)/(3) and (-5)/(3).`

Answer

To compare the fractions \( \frac{2}{3} \) and \( \frac{-5}{3} \), we can follow these steps:

### Step 1: Identify the fractions
We have two fractions to compare:
- \( \frac{2}{3} \)
- \( \frac{-5}{3} \)

### Step 2: Check the denominators
Both fractions have the same denominator, which is 3. When the denominators are the same, we can directly compare the numerators.

### Step 3: Compare the numerators
The numerators of the fractions are:
- The numerator of \( \frac{2}{3} \) is 2.
- The numerator of \( \frac{-5}{3} \) is -5.

### Step 4: Determine which numerator is greater
We know that:
- Positive numbers are always greater than negative numbers.
- Since 2 is positive and -5 is negative, we can conclude that 2 is greater than -5.

### Step 5: Conclusion
Since \( 2 > -5 \) and the denominators are the same, we can say that:
\[ \frac{2}{3} > \frac{-5}{3} \]

### Final Answer
Thus, \( \frac{2}{3} \) is greater than \( \frac{-5}{3} \).

---