What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from
4 to 7

Answer

To find out what fraction of a clockwise revolution the hour hand of a clock turns through when it goes from 4 to 7, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Positions on the Clock:**
- The hour hand moves from the 4 o'clock position to the 7 o'clock position on the clock.

2. **Count the Hour Intervals:**
- From 4 to 5 is 1 hour.
- From 5 to 6 is another hour.
- From 6 to 7 is another hour.
- Therefore, the hour hand moves through a total of 3 hours.

3. **Understand the Total Hours in a Clock:**
- A complete revolution of the clock represents 12 hours.

4. **Calculate the Fraction of the Revolution:**
- The fraction of the revolution that the hour hand covers is given by the number of hours moved divided by the total number of hours in a complete revolution.
- This can be calculated as:
\[ \text{Fraction} = \frac{\text{Hours moved}}{\text{Total hours}} = \frac{3}{12} \]

5. **Simplify the Fraction:**
- Simplifying \(\frac{3}{12}\) gives us:
\[ \frac{3 \div 3}{12 \div 3} = \frac{1}{4} \]

6. **Conclusion:**
- Therefore, the hour hand of the clock turns through \(\frac{1}{4}\) of a clockwise revolution when it goes from 4 to 7.

### Final Answer:
The hour hand turns through \(\frac{1}{4}\) of a clockwise revolution when it goes from 4 to 7.

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