Answer :
To find out what percentage 18 out of 20 questions correct represents, we can follow these steps:
Understand the Formula: The formula to calculate a percentage is:
[tex]\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100[/tex]Identify the Part and the Whole: In this case, the part is 18 (the number of questions the student got correct), and the whole is 20 (the total number of questions).
Substitute into the Formula:
[tex]\text{Percentage} = \left( \frac{18}{20} \right) \times 100[/tex]Perform the Division: First, divide 18 by 20:
[tex]\frac{18}{20} = 0.9[/tex]Convert to a Percentage: Multiply the result by 100 to convert it into a percentage:
[tex]0.9 \times 100 = 90\%[/tex]
Therefore, the student got 90% of the questions correct. This is a common method used in mathematics to find out what fraction of a total is represented as a percentage, and it's very useful in many real-world applications like grading, statistics, and data analysis.