Aiden walked 2/3 of a mile in 1/5 of an hour.  What is his rate in miles per hour?

To find Aiden's walking rate in miles per hour, we need to determine how many miles he would walk in one hour given the distance he walked in \( \frac{1}{5} \) of an hour.

### Step 1: Identify the given values.
- Distance: \( \frac{2}{3} \) of a mile
- Time: \( \frac{1}{5} \) of an hour

### Step 2: Set up the rate as a fraction.
Aiden's walking rate in miles per hour (mph) can be calculated using the formula:

\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}}
\]

\[
\text{Rate} = \frac{\frac{2}{3} \text{ miles}}{\frac{1}{5} \text{ hours}}
\]

### Step 3: Simplify the fraction.
To divide by a fraction, multiply by its reciprocal:

\[
\text{Rate} = \frac{2}{3} \times \frac{5}{1} = \frac{10}{3} \text{ miles per hour}
\]

### Step 4: Simplify the result.
\[
\frac{10}{3} \text{ miles per hour} \approx 3.33 \text{ miles per hour}
\]

So, Aiden's walking rate is approximately 3.33 miles per hour.

Would you like further details or have any questions?

Here are 5 related questions to consider:

1. How far would Aiden walk in 2 hours at this rate?
2. If Aiden walked 4 miles, how long would it take him?
3. What would Aiden's rate be in miles per minute?
4. If Aiden increased his speed to 4 miles per hour, how long would it take to walk 5 miles?
5. How far would Aiden walk in 3/4 of an hour at this rate?

**Tip:** When calculating rates, always ensure the units match (e.g., miles per hour, miles per minute) to avoid confusion.

Learn how to calculate Aiden's walking rate in miles per hour with a detailed step-by-step solution. This problem involves dividing fractions and understanding rates. Suitable for middle school students (Grades 6-8).

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