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 out how far Clarissa traveled, we can use the formula:

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

1. Speed: Clarissa cycled at \(12 \frac{1}{2}\) miles per hour. To convert this to an improper fraction: \[ 12 \frac{1}{2} = \frac{25}{2} \text{ miles per hour} \]

2. Time: She cycled for \(2 \frac{1}{2}\) hours. Converting this to an improper fraction: \[ 2 \frac{1}{2} = \frac{5}{2} \text{ hours} \]

3. Calculating Distance: Now we can substitute these values into the distance formula: \[ \text{Distance} = \left(\frac{25}{2}\right) \times \left(\frac{5}{2}\right) \]

   Multiplying the fractions: \[ \text{Distance} = \frac{25 \times 5}{2 \times 2} = \frac{125}{4} \]

4. Simplifying: \( \frac{125}{4} \) is already in simplest form.

Thus, the distance that Clarissa traveled is

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