State which of the following fractions are proper, improper or mixed :
`117/8`

Answer

To determine whether the fraction \( \frac{117}{8} \) is a proper fraction, improper fraction, or mixed fraction, we can follow these steps:

### Step 1: Identify the numerator and denominator
In the fraction \( \frac{117}{8} \):
- The **numerator** is 117.
- The **denominator** is 8.

### Step 2: Compare the numerator and denominator
To classify the fraction, we need to compare the numerator and denominator:
- A **proper fraction** is when the numerator is less than the denominator (numerator < denominator).
- An **improper fraction** is when the numerator is greater than or equal to the denominator (numerator ≥ denominator).
- A **mixed fraction** consists of a whole number and a proper fraction combined.

### Step 3: Analyze the comparison
In our case:
- \( 117 \) (numerator) is greater than \( 8 \) (denominator).

### Step 4: Conclusion
Since the numerator (117) is greater than the denominator (8), we conclude that:
- \( \frac{117}{8} \) is an **improper fraction**.

### Final Answer
The fraction \( \frac{117}{8} \) is an **improper fraction**.

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