Identify which of the following fractions are unit fractions, proper fractions or improper fractions:
`1/(8)`

Answer

To identify the type of fraction for \( \frac{1}{8} \), we will analyze it step by step.

### Step 1: Understand the Types of Fractions
Fractions can be categorized into three types:
1. **Unit Fraction**: A fraction where the numerator is 1 and the denominator is a positive whole number.
2. **Proper Fraction**: A fraction where the numerator is less than the denominator, and both are natural numbers.
3. **Improper Fraction**: A fraction where the numerator is greater than or equal to the denominator, and both are natural numbers.

### Step 2: Identify the Numerator and Denominator
In the fraction \( \frac{1}{8} \):
- The numerator \( a = 1 \)
- The denominator \( b = 8 \)

### Step 3: Check if it is a Unit Fraction
Since the numerator \( a \) is 1 and the denominator \( b \) is a positive whole number (8), this fraction fits the definition of a unit fraction.

### Step 4: Check if it is a Proper Fraction
Next, we check if it is a proper fraction. A proper fraction is defined as having a numerator less than the denominator. Here, \( 1 < 8 \), so \( \frac{1}{8} \) is also a proper fraction.

### Step 5: Check if it is an Improper Fraction
Finally, we check if it is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator. In this case, \( 1 < 8 \), so \( \frac{1}{8} \) is not an improper fraction.

### Conclusion
The fraction \( \frac{1}{8} \) is:
- A **unit fraction** because the numerator is 1.
- A **proper fraction** because the numerator is less than the denominator.
- It is **not** an improper fraction.

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