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Convert Fraction Into Percentage Calculator

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 ratio (a/b) into an equivalent percentage value. This conversion helps in better understanding and comparing proportions in everyday contexts.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

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

Where:

Explanation: The formula first calculates the ratio of numerator to denominator, then multiplies by 100 to convert the decimal value to a percentage.

3. Importance of Percentage Conversion

Details: Percentage conversion is essential in statistics, finance, science, and daily life for comparing proportions, understanding probabilities, and analyzing data trends.

4. Using the Calculator

Tips: Enter both numerator and denominator as positive numbers. 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 calculator requires denominator to be greater than zero.

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

Q3: What's the difference between fraction and percentage?
A: A fraction shows the ratio between two numbers, while a percentage expresses that ratio as parts per hundred.

Q4: How do I convert percentage back to fraction?
A: Divide the percentage by 100 and simplify the resulting fraction (e.g., 25% = 25/100 = 1/4).

Q5: What are some practical uses of this conversion?
A: Calculating test scores, financial interest rates, statistical data, recipe adjustments, and many everyday comparisons.

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