Question

Clarice cycled at 12 1/2 mph for 2 1/2 hours. How far did she travel your answer should be written as an improper fraction in simplest form.

Answer 1

To find the distance that Clarice traveled, we can use the formula:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

Here, Clarice cycled at a speed of \(12 \frac{1}{2}\) mph for \(2 \frac{1}{2}\) hours.

First, let's convert the mixed numbers to improper fractions:

1. Speed:
\[
12 \frac{1}{2} = \frac{25}{2} \quad \text{(since \(12 \times 2 + 1 = 25\))}
\]

2. Time:
\[
2 \frac{1}{2} = \frac{5}{2} \quad \text{(since \(2 \times 2 + 1 = 5\))}
\]

Now, substituting these values into the distance formula:

\[
\text{Distance} = \left(\frac{25}{2}\right) \times \left(\frac{5}{2}\right)
\]

To multiply the fractions:

\[
\text{Distance} = \frac{25 \times 5}{2 \times 2} = \frac{125}{4}
\]

Now, \(\frac{125}{4}\) is already in improper fraction form, and we can check if it can be simplified. Since both 125 and 4 have no common factors, \(\frac{125}{4}\) is in simplest form.

Thus, the distance that Clarice traveled is:

\[
\boxed{\frac{125}{4}}
\]