https://file.aiquickdraw.com/mathbot/file/1727812773411lm8bcswm.jpg

The problem presented in the image asks how many times the length of Anne's bike ride compares to Noah's bike ride, given:

- Anne biked \( 7 \frac{1}{2} \) miles.
- Noah biked \( 4 \frac{2}{7} \) miles.

To solve this, we need to divide Anne's distance by Noah's distance.

### Step 1: Convert the mixed numbers to improper fractions.
- Anne's distance:
  \[
  7 \frac{1}{2} = \frac{15}{2}
  \]
- Noah's distance:
  \[
  4 \frac{2}{7} = \frac{30}{7}
  \]

### Step 2: Set up the division of fractions.
\[
\frac{15}{2} \div \frac{30}{7}
\]

### Step 3: Multiply by the reciprocal of the second fraction.
\[
\frac{15}{2} \times \frac{7}{30} = \frac{15 \times 7}{2 \times 30} = \frac{105}{60}
\]

### Step 4: Simplify the fraction.
\[
\frac{105}{60} = \frac{7}{4}
\]

Thus, Anne's bike ride is \( \frac{7}{4} \) times as long as Noah's bike ride.

The correct answer is \( \frac{7}{4} \) or 1.75, which is equivalent to the selected option "7/4 as far."

Would you like further details on this? 

Here are 5 related questions:
1. How do you multiply and divide mixed numbers?
2. Why do you convert mixed numbers into improper fractions?
3. How do you simplify fractions after multiplication?
4. What are other ways to compare distances mathematically?
5. How can you interpret the fraction \( \frac{7}{4} \) in practical terms?

**Tip:** When dividing fractions, always multiply by the reciprocal to get the correct result.

Anne biked 7 1/2 miles today and Noah biked 4 2/7 miles. How many times is the length of Anne's bike ride compared to Noah's bike ride?

Learn how to compare the distances of two bike rides, one 7 1/2 miles and the other 4 2/7 miles, by converting mixed numbers to improper fractions and dividing them. This problem is ideal for students in Grades 6-8.

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