Fraction to Decimal and Percent Conversion:
From: | To: |
This calculator converts a fraction (with numerator and denominator up to 3 digits) to its decimal equivalent and percentage representation. This is useful for mathematical calculations, statistics, and everyday measurements.
The calculator uses two simple formulas:
Where:
Explanation: The decimal form shows the exact value of the fraction, while the percent form shows what portion of 100 the fraction represents.
Details: Precise conversion between fractions, decimals, and percentages is essential in finance, engineering, science, and many everyday calculations like discounts and statistics.
Tips: Enter the numerator (0-999) and denominator (1-999). The denominator cannot be zero. Results are shown with 6 decimal places for the decimal and 2 decimal places for the percent.
Q1: Why can't the denominator be zero?
A: Division by zero is mathematically undefined. A fraction must have a non-zero denominator.
Q2: How many decimal places are shown?
A: The decimal result shows 6 decimal places, while the percent shows 2 decimal places for practical use.
Q3: What if my fraction is improper (numerator > denominator)?
A: The calculator works the same way - it will show a decimal greater than 1 and a percent greater than 100%.
Q4: Can I enter negative numbers?
A: This calculator only accepts non-negative numerators (0-999) and positive denominators (1-999).
Q5: Why are the results sometimes repeating decimals?
A: Some fractions cannot be expressed as finite decimals (e.g., 1/3 = 0.333...). The calculator shows them rounded to 6 decimal places.