Question

Clarissa cycled at 12 1/2 miles per hour 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 calculate the distance Clarissa traveled, we can use the formula:

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

First, we need to convert the speed and time into improper fractions.

Clarissa's speed is \(12 \frac{1}{2}\) miles per hour. We can convert this mixed number into an improper fraction:

\[
12 \frac{1}{2} = \frac{12 \times 2 + 1}{2} = \frac{24 + 1}{2} = \frac{25}{2} \text{ miles per hour}
\]

Next, we convert the time \(2 \frac{1}{2}\) hours to an improper fraction:

\[
2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} \text{ hours}
\]

Now, we can plug 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 simplest form.

So, the distance Clarissa traveled is

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