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.(1 point)

Answer 1

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

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

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

- Speed: \(12 \frac{1}{2}\) miles per hour can be converted to an improper fraction:
\[
12 \frac{1}{2} = \frac{25}{2} \text{ miles per hour}
\]

- Time: \(2 \frac{1}{2}\) hours can also be converted to an improper fraction:
\[
2 \frac{1}{2} = \frac{5}{2} \text{ hours}
\]

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

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

4. To ensure the answer is in simplest form, we check if the numerator (125) and the denominator (4) have any common factors. The greatest common divisor is 1, so \(\frac{125}{4}\) is already in simplest form.

Thus, the distance Clarissa traveled is:

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

Answer 2

Are you sure because on other sites you said 31 1/4 as the answer. And is your answer that you just put down in simplest form?