Frank is riding on a bike course that is 60 miles long. So far, he has ridden 21 miles of the course. What percentage of the course has Frank ridden so far?

1. Break Down the Problem

To find the percentage of the course that Frank has ridden, we need to:

• Identify the total length of the course.
• Identify the distance Frank has already ridden.
• Use the formula for percentage to calculate how much of the course he has completed.

2. Relevant Concepts

The formula for calculating the percentage is: $\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$

In this case:

• Part = 21 miles (distance ridden by Frank)
• Whole = 60 miles (total length of the course)

3. Analysis and Detail

Using the formula: $\text{Percentage} = \left( \frac{21 \text{ miles}}{60 \text{ miles}} \right) \times 100$ Calculating the fraction: $\frac{21}{60} = 0.35$ Now, convert the decimal to a percentage: $0.35 \times 100 = 35\%$

4. Verify and Summarize

Frank has completed 35% of the course. This was verified by applying the percentage formula correctly and checking the calculations.

Final Answer

Frank has ridden 35% of the course so far.