Let’s break down the problem step by step.
Step 1: Calculate Jariah's Walking Rate
Jariah walks \(2 \frac{2}{1} = 2 + 2 = 4\) miles in \(4 \frac{3}{1} = 4 + 3 = 7\) hours.
To find the rate at which she walks, we can divide the total distance by the total time:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{4 \text{ miles}}{7 \text{ hours}} \]
Step 2: Determine how far Jariah will walk in 1 hour
To find the distance Jariah will walk in 1 hour at her walking rate:
\[ \text{Distance in 1 hour} = \text{Rate} \times 1 \text{ hour} = \frac{4 \text{ miles}}{7 \text{ hours}} \times 1 \text{ hour} = \frac{4}{7} \text{ miles} \]
Step 3: Renaming \( \frac{3}{10} \) as a Mixed Number
The fraction \( \frac{3}{10} \) is less than 1, meaning it cannot be converted into a mixed number with a whole number.
Step 4: Dividing \( \frac{3}{10} \) into Wholes and Remainder
Since \( \frac{3}{10} \) is less than \( 1 \), we have:
- Whole numbers (1's): 0
- Remaining parts of tenths: \( 3 \) tenths remain.
Summary Answers
- Jariah will walk \( \frac{4}{7} \) miles in 1 hour.
- The mixed number representation for \( \frac{3}{10} \) is \( 0 \) with \( 3 \) tenths remaining (no whole numbers).