How to Convert 36 out of 50 to a Percentage
Knowing how to convert fractions to percentages is a fundamental skill in math. It's a useful skill in various situations, from calculating grades to understanding statistics. In this article, we'll explore how to convert "36 out of 50" to a percentage.
Understanding the Basics
- Percentage: A percentage represents a part of a whole, expressed as a fraction of 100. The symbol "%" is used to denote percentages.
- Fraction: A fraction represents a part of a whole, expressed as a ratio of two numbers: the numerator and the denominator.
Converting 36 out of 50 to a Percentage
- Express as a fraction: "36 out of 50" can be written as the fraction 36/50.
- Divide numerator by denominator: Divide the numerator (36) by the denominator (50): 36 ÷ 50 = 0.72.
- Multiply by 100: To express the decimal as a percentage, multiply the result by 100: 0.72 x 100 = 72.
- Add the percentage symbol: Finally, add the percentage symbol (%) to indicate that the result is a percentage.
Therefore, "36 out of 50" is equivalent to 72%.
Applying the Concept
Let's say you answered 36 questions correctly out of a total of 50 questions on a test. To calculate your score as a percentage, you would follow these steps:
- Fraction: 36 correct answers / 50 total questions = 36/50
- Divide: 36 ÷ 50 = 0.72
- Multiply by 100: 0.72 x 100 = 72
- Add %: 72%
You achieved a score of 72% on the test.
Key Points to Remember
- Understanding the relationship between fractions, decimals, and percentages: They all represent parts of a whole, but use different formats.
- Using a calculator: A calculator can simplify the division and multiplication steps involved in converting a fraction to a percentage.
- Decimal to Percentage: To convert a decimal to a percentage, multiply by 100 and add the % symbol.
- Percentage to Decimal: To convert a percentage to a decimal, divide by 100.
Conclusion
Converting "36 out of 50" to a percentage is a straightforward process that involves expressing it as a fraction, dividing, multiplying by 100, and adding the percentage symbol. This skill is useful for various applications and provides a clear representation of a part of a whole.