1. What is Fraction to Decimal and Percentage Conversion?

Fraction to decimal and percentage conversion is a fundamental mathematical operation that transforms a fraction into its decimal equivalent and then into a percentage representation. This is essential for various calculations in mathematics, science, finance, and everyday life.

2. How Does the Calculator Work?

The calculator uses these simple formulas:

Where:

• Numerator — The top number in a fraction
• Denominator — The bottom number in a fraction
• Decimal — The equivalent decimal value
• % — The equivalent percentage value

Explanation: The fraction is first converted to decimal by division, then multiplied by 100 to get the percentage.

3. Importance of Conversion

Details: Converting fractions to decimals and percentages is crucial for comparing values, performing calculations, and presenting data in more understandable formats. Percentages are particularly useful for expressing proportions and changes.

4. Using the Calculator

Tips: Enter the numerator and denominator values. The denominator must not be zero. The calculator will automatically compute the decimal and percentage equivalents.

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: How many decimal places are shown?
A: Decimals are rounded to 4 places, percentages to 2 places for readability.

Q3: Can I use negative numbers?
A: Yes, negative numerators or denominators will calculate correctly, though negative percentages may not always make practical sense.

Q4: What's the difference between fraction and decimal?
A: Fractions represent exact ratios while decimals are base-10 approximations of those ratios.

Q5: When would I need to convert fractions to percentages?
A: Common uses include calculating grades, financial interest rates, statistical data, and recipe measurements.