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The problem asks to determine the unit rate of rain in inches per hour based on the given ratios.

Here is what we are given:
- In \( \frac{1}{6} \) hour, \( \frac{1}{10} \) inch of rain fell.
  
We are to find how many inches of rain fell per hour.

### Step-by-step solution:
1. The unit rate is found by dividing the amount of rain \( \left(\frac{1}{10} \, \text{inch}\right) \) by the time \( \left(\frac{1}{6} \, \text{hour}\right) \).

2. To compute this, we need to perform:
   \[
   \text{Unit rate} = \frac{\frac{1}{10} \, \text{inch}}{\frac{1}{6} \, \text{hour}}
   \]
   This is a division of fractions, which can be rewritten as:
   \[
   \frac{1}{10} \times \frac{6}{1} = \frac{6}{10} = 0.6
   \]
   
Thus, the unit rate is \( 0.6 \, \text{inches per hour} \).

Would you like further clarification or more details on this? Here are 5 related questions to help you deepen your understanding:

1. How do you divide fractions, and why does multiplying by the reciprocal work?
2. What other methods could you use to check if your answer is correct?
3. How would you convert the unit rate into other time units (e.g., minutes or seconds)?
4. What is the significance of the unit rate in real-world applications?
5. Can you solve similar problems with different units of measurement, such as millimeters per hour?

**Tip**: When dividing fractions, always remember to multiply by the reciprocal of the divisor!

There was a long rainstorm last week. In the first 1/6 hour, 1/10 inch of rain fell. What is the unit rate for inches per hour?

This problem demonstrates how to find the unit rate of rain in inches per hour. Given that 1/10 inch of rain fell in 1/6 hour, learn how to calculate the unit rate using the division of fractions. Perfect for Grade 7 students.

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