8 km is equal to 5 miles. The fraction useful in converting kilometres to miles is

Options

A. a)`(3)/(5)`
B. b)`(5)/(3)`
C. c)`(5)/(8)`
D. d)`(8)/(5)`

Explanation

To find the fraction useful in converting kilometers to miles, we start with the information given in the problem.

### Step-by-Step Solution:

1. **Understand the relationship between kilometers and miles**:
We know from the problem that 8 kilometers is equal to 5 miles.

2. **Set up the conversion ratio**:
To find the conversion factor from kilometers to miles, we can express this relationship as a fraction:
\[ \frac{5 \text{ miles}}{8 \text{ kilometers}} \]
This fraction tells us how many miles correspond to one kilometer.

3. **Calculate the conversion for 1 kilometer**:
To find out how many miles are in 1 kilometer, we can simplify the fraction:
\[ 1 \text{ kilometer} = \frac{5}{8} \text{ miles} \]

4. **Conclusion**:
Therefore, the fraction useful in converting kilometers to miles is:
\[ \frac{5}{8} \]

### Final Answer:
The fraction useful in converting kilometers to miles is \(\frac{5}{8}\).