Math Equation Response Question

Question

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?

Use the on-screen keyboard to type the correct answer in the box below.

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Answer 1

To find out how many miles Jenna has run so far, we need to calculate 75% of the total race distance, which is 2 1/2 miles.

First, we convert 2 1/2 miles into an improper fraction:

\[ 2 \frac{1}{2} = \frac{5}{2} \text{ miles} \]

Next, we calculate 75% of \(\frac{5}{2}\):

\[ 75% = \frac{75}{100} = \frac{3}{4} \]

Now we multiply \(\frac{3}{4}\) by \(\frac{5}{2}\):

\[ \frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8} \]

Now we can convert \(\frac{15}{8}\) into a mixed number:

\[ \frac{15}{8} = 1 \frac{7}{8} \text{ miles} \]

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

In decimal format, this is:

\[ 1.875 \text{ miles} \]

The answer is:

\[ 1.875 \]