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Convert Fraction To Percentage Calculator

Fraction to Percentage Formula:

\[ \text{Percentage} = \left( \frac{a}{b} \right) \times 100\% \]

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1. What is Fraction to Percentage Conversion?

Fraction to percentage conversion is a mathematical operation that transforms a fractional value (a/b) into its equivalent percentage representation. This is commonly used to express proportions, ratios, and probabilities in a more intuitive format.

2. How Does the Calculator Work?

The calculator uses the simple formula:

\[ \text{Percentage} = \left( \frac{a}{b} \right) \times 100\% \]

Where:

Explanation: The formula divides the numerator by the denominator to get a decimal value, then multiplies by 100 to convert it to a percentage.

3. Importance of Percentage Conversion

Details: Percentages are more easily understood than fractions for most people. They're widely used in statistics, finance, science, and everyday life to compare proportions and express probabilities.

4. Using the Calculator

Tips: Enter both numerator and denominator as positive numbers. The denominator cannot be zero. The result will be displayed with two decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is mathematically 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: What's the difference between fraction and percentage?
A: A fraction represents a part of a whole (a/b), while a percentage represents parts per hundred.

Q4: Can percentages be greater than 100%?
A: Yes, when the numerator is greater than the denominator, the percentage will exceed 100%.

Q5: How precise is the calculation?
A: The calculator provides results rounded to two decimal places for clarity.

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