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Fractions As Percents Calculator Worksheet

Fraction to Percent Formula:

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

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1. What is Fraction to Percent Conversion?

Converting fractions to percentages is a fundamental mathematical operation that expresses a ratio as a part of 100. This conversion makes it easier to compare different fractions and understand proportions.

2. How Does the Calculator Work?

The calculator uses the simple formula:

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

Where:

Explanation: The fraction represents a division operation, and multiplying by 100 converts the decimal result to a percentage.

3. Importance of Percent Conversion

Details: Percentages are widely used in statistics, finance, science, and everyday life because they provide a standardized way to express proportions that are easy to understand and compare.

4. Using the Calculator

Tips: Enter the numerator and denominator as whole numbers. 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 calculator requires a denominator greater than zero.

Q2: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers for both numerator and denominator.

Q3: How many decimal places are shown?
A: The result is rounded to two decimal places for clarity.

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

Q5: When would I need this conversion?
A: Common uses include test scores, financial calculations, statistics, and any situation where you need to compare proportions.

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