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Calculator Fractions To Percent

Fraction to Percent Formula:

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

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1. What is Fraction to Percent Conversion?

Fraction to percent conversion is a mathematical operation that converts a fraction (a/b) to an equivalent percentage value. It's commonly used to express proportions, ratios, and fractions in a more intuitive percentage 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 and multiplies by 100 to convert the decimal result to a percentage.

3. Importance of Percentage Calculation

Details: Percentage values are easier to understand and compare than fractions. They're widely used in statistics, finance, science, and everyday life to express proportions and changes.

4. Using the Calculator

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

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: 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: How do I convert percentage back to fraction?
A: Divide the percentage by 100 and simplify the resulting fraction.

Q5: What if my numerator is larger than denominator?
A: The percentage will be greater than 100%, which is valid (e.g., 3/2 = 150%).

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