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 find the distance Clarissa traveled, we can use the formula:

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

Clarissa's speed is \( 12 \frac{1}{2} \) miles per hour, which can be converted to an improper fraction:

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

Next, we need to convert her time of \( 2 \frac{1}{2} \) hours into an improper fraction:

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

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 these fractions, we multiply the numerators and the denominators:

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

Now, \( \frac{125}{4} \) is already in improper fraction form and is also in simplest form since 125 and 4 have no common factors other than 1.

Thus, the distance Clarissa traveled is

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