Converting fractions to percentages is a fundamental mathematical skill that facilitates the comparison of different values. Understanding how to express fractions like 27 out of 30 as a percentage is essential in various real-life applications.
Converting 27 Out of 30 to a Percentage
To convert the fraction 27 out of 30 to a percentage, follow these steps:
- Divide the Numerator by the Denominator: 2730=0.9\frac{27}{30} = 0.93027=0.9
- Multiply the Result by 100 to Get the Percentage: 0.9×100=90%0.9 \times 100 = 90\%0.9×100=90%
Therefore, 27 out of 30 expressed as a percentage is 90%.
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Alternative Method:
Another approach is to adjust the fraction so that the denominator is 100, making it easier to convert to a percentage:
- Determine the Factor to Scale the Denominator to 100: 10030≈3.333\frac{100}{30} \approx 3.33330100≈3.333
- Multiply Both the Numerator and Denominator by This Factor: 27×3.33330×3.333=90100\frac{27 \times 3.333}{30 \times 3.333} = \frac{90}{100}30×3.33327×3.333=10090
This shows that 27 out of 30 is equivalent to 90 out of 100, which is 90%.
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Practical Applications
Understanding that 27 out of 30 equals 90% is useful in various contexts, such as:
- Academic Grading: Scoring 27 out of 30 on an exam translates to a 90% grade, which is typically an A-.
- Financial Calculations: If 27 out of 30 investments are profitable, it indicates a 90% success rate.
FAQ
- What is 27 out of 30 as a decimal?
Dividing 27 by 30 gives 0.9. - How do you convert a fraction to a percentage?Divide the numerator by the denominator to get a decimal, then multiply by 100 to get the percentage.
- Is 27 out of 30 in its simplest form?
Yes, 27 out of 30 simplifies to 9 out of 10, as both 27 and 30 can be divided by 3. - What is 9 out of 10 as a percentage?
9 out of 10 is equivalent to 90%. - Why is converting fractions to percentages useful?
It allows for easier comparison and understanding of proportions in various contexts.
