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Fraction To % Converter

Fraction to Percentage Formula:

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

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1. What is Fraction to Percentage Conversion?

Fraction to percentage conversion is a mathematical operation that converts a fraction (a/b) into an equivalent percentage value. 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 fraction to percentage formula:

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

Where:

Explanation: The formula divides the numerator by the denominator and multiplies by 100 to convert the fraction to a percentage.

3. Importance of Percentage Calculation

Details: Percentage values are easier to interpret than fractions for most people. They are widely used in statistics, finance, science, and everyday life to express proportions and comparisons.

4. Using the Calculator

Tips: Enter the numerator and denominator values. The denominator must be greater than 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 denominator must be greater than zero for the calculation to be valid.

Q2: Can I use decimal numbers?
A: Yes, both numerator and denominator can be decimal numbers. The calculator will handle them appropriately.

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 (p%).

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 2 decimal places for clarity, but maintains full precision in calculations.

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