Question

Jariah walks 2
2
1
​
miles in
4
3
​
of an hour. If Jariah continues at this rate, how far will she walk in 1 hour?
Try again to rename
3
10
​
as a mixed number.
3
3
​
makes 1 whole.
3
6
​
makes 2 wholes. How many wholes are there in
3
10
​
? How many thirds remain?

÷
4
3
​

÷
4
3
​

Time (hours) Distance (miles)
4
3
​
2
2
1
​

1 ?
2
2
1
​
÷
4
3
​

= 2
2
1
​
·
3
4
​

=
2
5
​
·
3
4
​

=
1·3
5·2
​

=
3
10
​

=

Answer 1

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

1. Jariah will walk \( \frac{4}{7} \) miles in 1 hour.
2. The mixed number representation for \( \frac{3}{10} \) is \( 0 \) with \( 3 \) tenths remaining (no whole numbers).