High School

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------------------------------------------------ A student got 18 out of 20 questions correct. What percentage is this?

Answer :

To find out what percentage 18 out of 20 questions correct represents, we can follow these steps:

  1. Understand the Formula: The formula to calculate a percentage is:
    [tex]\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100[/tex]

  2. 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).

  3. Substitute into the Formula:
    [tex]\text{Percentage} = \left( \frac{18}{20} \right) \times 100[/tex]

  4. Perform the Division: First, divide 18 by 20:
    [tex]\frac{18}{20} = 0.9[/tex]

  5. 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.