High School

Billy makes 17 out of 20 free throws during a basketball tournament. He represents this as the fraction [tex]\frac{17}{20}[/tex].

What percentage of free throws did Billy make during the basketball tournament?

A. 17%
B. 37%
C. 85%
D. 97%

Answer :

To find the percentage of free throws Billy made during the basketball tournament, we can follow these steps:

1. Start with the fraction: Billy successfully made 17 out of 20 free throws. This is represented by the fraction [tex]\(\frac{17}{20}\)[/tex].

2. Convert the fraction to a percentage: To convert a fraction to a percentage, you need to multiply it by 100. This is because "percent" means "per hundred," so multiplying by 100 gives the equivalent value out of 100.

[tex]\[
\text{Percentage} = \left( \frac{17}{20} \right) \times 100
\][/tex]

3. Calculate the percentage:
- First, divide 17 by 20, which gives 0.85.
- Then, multiply 0.85 by 100 to get the percentage.

[tex]\[
\text{Percentage} = 0.85 \times 100 = 85
\][/tex]

Therefore, Billy made 85% of his free throws during the basketball tournament. The correct answer is 85%.