How to Convert 39 out of 50 to a Percentage
Converting fractions to percentages is a common task in various fields, including mathematics, statistics, and everyday life. Understanding this conversion is crucial for interpreting data and making informed decisions. Let's explore how to convert "39 out of 50" to a percentage.
Understanding Percentages
A percentage represents a part of a whole, expressed as a fraction of 100. The symbol "%" signifies "out of one hundred." For example, 50% means 50 out of 100.
Converting "39 out of 50" to a Percentage
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Set up a fraction: The phrase "39 out of 50" translates directly into the fraction 39/50.
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Multiply by 100: To convert any fraction into a percentage, multiply it by 100. (39/50) * 100 = 78
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Add the percentage sign: The final result, 78, represents 78 out of 100, or simply 78%.
Therefore, 39 out of 50 is equivalent to 78%.
Example Applications
Imagine you're taking a test with 50 questions. You correctly answer 39 questions. To determine your score as a percentage, follow the steps above:
- Fraction: 39/50
- Multiply by 100: (39/50) * 100 = 78
- Percentage: 78%
You achieved a score of 78% on the test.
Alternative Method: Proportion
You can also use a proportion to solve this problem.
- Set up the proportion: (39/50) = (x/100)
- Solve for x: Cross-multiply and simplify:
- 39 * 100 = 50 * x
- 3900 = 50x
- x = 78
Conclusion
Converting fractions to percentages is a straightforward process that involves multiplying the fraction by 100. This conversion is vital for various applications, from calculating scores and grades to understanding statistical data and making informed decisions. Remember that "39 out of 50" translates to a percentage of 78%, providing a clear representation of the portion of the whole.