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How To Turn A Fraction Into Percentage

Fraction to Percentage Formula:

\[ p\% = \frac{a}{b} \times 100 \]

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1. What is Fraction to Percentage Conversion?

Converting a fraction to a percentage is a fundamental mathematical operation that expresses the ratio of two numbers as a percentage value. It's widely used in statistics, finance, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the simple formula:

\[ p\% = \frac{a}{b} \times 100 \]

Where:

Explanation: The formula converts the fraction a/b to a decimal by division, then multiplies by 100 to get the percentage.

3. Importance of Percentage Calculation

Details: Percentage conversion is essential for comparing proportions, understanding statistics, calculating discounts, and interpreting data in various fields from finance to science.

4. Using the Calculator

Tips: Enter the numerator and denominator values. The denominator must be non-zero. The calculator will automatically compute the percentage equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q2: Can I use decimal numbers?
A: Yes, both numerator and denominator can be decimal numbers.

Q3: How precise is the calculation?
A: The calculator shows results rounded to 2 decimal places for clarity.

Q4: What's the difference between fraction and percentage?
A: A fraction shows a ratio directly (a/b), while a percentage expresses that ratio as parts per hundred.

Q5: Can percentages be greater than 100%?
A: Yes, when the numerator is larger than the denominator, the percentage will exceed 100%.

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