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Calculator 3 Digit Fraction Decimal Percent

Fraction to Decimal and Percent Conversion:

\[ \text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}} \] \[ \text{Percent} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100 \]

(0-999)
(1-999)

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1. What is Fraction to Decimal/Percent Conversion?

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.

2. How Does the Calculator Work?

The calculator uses two simple formulas:

\[ \text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}} \] \[ \text{Percent} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100 \]

Where:

Explanation: The decimal form shows the exact value of the fraction, while the percent form shows what portion of 100 the fraction represents.

3. Importance of Accurate Conversion

Details: Precise conversion between fractions, decimals, and percentages is essential in finance, engineering, science, and many everyday calculations like discounts and statistics.

4. Using the Calculator

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.

5. Frequently Asked Questions (FAQ)

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.

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