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The problem asks us to find out how many miles Jenna has run, given that she has completed 75% of a cross-country race that is \( 2 \frac{1}{2} \) miles long.

### Step 1: Convert the mixed number to an improper fraction
The race length is \( 2 \frac{1}{2} \) miles, which we can convert to an improper fraction:
\[
2 \frac{1}{2} = \frac{5}{2}
\]

### Step 2: Calculate 75% of the race length
Now we need to find 75% of \( \frac{5}{2} \) miles. 

First, convert 75% to a fraction:
\[
75\% = \frac{75}{100} = \frac{3}{4}
\]

Now, multiply \( \frac{3}{4} \) by \( \frac{5}{2} \):
\[
\frac{3}{4} \times \frac{5}{2} = \frac{15}{8}
\]

### Step 3: Convert the improper fraction to a mixed number
The result \( \frac{15}{8} \) can be written as a mixed number:
\[
\frac{15}{8} = 1 \frac{7}{8}
\]

Thus, Jenna has run **1 \(\frac{7}{8}\)** miles so far.

Let me know if you would like further details or if you have any questions!

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Here are 5 follow-up questions related to this problem:
1. What is the decimal equivalent of \( 1 \frac{7}{8} \) miles?
2. How would the answer change if Jenna had completed 50% of the race instead of 75%?
3. Can you convert 75% directly to a decimal and use it to solve the problem?
4. How can you generalize this problem for any fraction of a race distance?
5. What is another way to calculate how much Jenna has left to run?

**Tip**: Converting percentages to fractions often makes multiplication easier when dealing with mixed numbers or fractions.

A cross-country race is 2 1/2 miles long. Jenna has completed 75% of the race. How many miles has Jenna run so far?

Learn how to calculate 75% of a mixed number in the context of a cross-country race problem. This example involves converting mixed numbers to improper fractions and multiplying fractions, suitable for students in Grades 6-8.

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