Which of the following are proper and improper fractions?
b. `(8)/(9)`

Answer

To determine whether the fraction \( \frac{8}{9} \) is a proper or improper fraction, we need to follow these steps:

### Step 1: Identify the numerator and denominator
In the fraction \( \frac{8}{9} \):
- The numerator is 8.
- The denominator is 9.

### Step 2: Compare the numerator and denominator
Next, we need to compare the numerator (8) with the denominator (9):
- We check if the numerator is less than the denominator.

### Step 3: Determine if it is a proper or improper fraction
Since \( 8 < 9 \):
- This means that the numerator is less than the denominator.

### Conclusion
According to the definitions:
- A **proper fraction** is one where the numerator is less than the denominator.
- An **improper fraction** is one where the numerator is greater than or equal to the denominator.

Since \( \frac{8}{9} \) has a numerator that is less than the denominator, it is classified as a **proper fraction**.

---