What fraction of a day is `8` hours ?

Options

A. `1/3`
B. `1/4`
C. `1/5`
D. `1/6`

Answer

To find what fraction of a day is 8 hours, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the total hours in a day**:
A day consists of 24 hours.

2. **Set up the fraction**:
We want to find the fraction of 8 hours out of the total 24 hours in a day. This can be represented as:
\[ \text{Fraction} = \frac{\text{Hours}}{\text{Total Hours in a Day}} = \frac{8}{24} \]

3. **Simplify the fraction**:
To simplify \(\frac{8}{24}\), we need to find the greatest common divisor (GCD) of 8 and 24. The GCD of 8 and 24 is 8. Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{8 \div 8}{24 \div 8} = \frac{1}{3} \]

4. **Conclusion**:
Therefore, the fraction of a day that is 8 hours is:
\[ \frac{1}{3} \]