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Let's work through this problem step by step:

Kim walked a total of \( 6 \frac{2}{3} \) miles over 3 days. We need to find how many miles she walked per day.

### Step 1: Convert the mixed number to an improper fraction.
\[ 6 \frac{2}{3} \] can be converted as follows:
\[
6 \frac{2}{3} = \frac{(6 \times 3) + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3}
\]
So, she walked \( \frac{20}{3} \) miles in total.

### Step 2: Divide the total miles by the number of days.
We divide \( \frac{20}{3} \) by 3 to find the miles per day:
\[
\frac{20}{3} \div 3 = \frac{20}{3} \times \frac{1}{3} = \frac{20}{9}
\]

### Step 3: Convert the result to a mixed number.
\[
\frac{20}{9} = 2 \frac{2}{9}
\]
So, Kim walks \( 2 \frac{2}{9} \) miles per day.

Thus, the correct answer is \( 2 \frac{2}{9} \) miles per day, which matches the second option in the list.

Would you like more details or have any questions?

### 5 Related Questions:
1. How do you convert mixed numbers into improper fractions?
2. How do you divide fractions by whole numbers?
3. What is the process to simplify improper fractions?
4. How can you convert improper fractions back into mixed numbers?
5. Why do we multiply by the reciprocal when dividing by a fraction?

### Tip:
When dividing fractions, remember to multiply by the reciprocal of the divisor to simplify the calculation.

Kim is attending physical therapy after knee surgery. She walked 6 2/3 miles over 3 days. How many miles is this per day? (Simplify the answer and write it as a mixed number.)

Learn how to simplify the mixed number 6 2/3 miles walked over 3 days. This math problem involves converting a mixed number to an improper fraction, dividing fractions, and simplifying to find the daily distance walked.

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