1. What is Fraction to Decimal and Percentage Conversion?

The conversion between fractions, decimals, and percentages is a fundamental mathematical operation used in various fields including finance, science, and everyday calculations. It allows for different representations of the same value.

2. How Does the Calculator Work?

The calculator uses the following formulas:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)

Explanation: The fraction a/b represents a division operation, which gives the decimal equivalent. Multiplying by 100 converts the decimal to a percentage.

3. Importance of Conversion

Details: Understanding these conversions is essential for interpreting data, making comparisons, and performing calculations in various contexts from schoolwork to professional applications.

4. Using the Calculator

Tips: Enter the numerator and denominator values (denominator must be greater than 0). The calculator will automatically compute both the decimal and percentage equivalents.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The denominator must be a positive number.

Q2: How many decimal places should I use?
A: The calculator shows 4 decimal places by default, but you may need more or fewer depending on your application.

Q3: Can I convert decimals back to fractions?
A: Yes, but this calculator focuses on fraction to decimal/percentage conversion.

Q4: What about repeating decimals?
A: The calculator shows the approximate decimal value. Some fractions (like 1/3) produce repeating decimals that are rounded.

Q5: How precise are the results?
A: Results are precise to the input values, with rounding to 4 decimal places for decimals and 2 decimal places for percentages.