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


=

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

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).