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Fraction Conversion To Decimal Calculator

Fraction to Decimal Conversion:

\[ \text{Decimal} = \frac{a}{b} = a \div b \]

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1. What is Fraction to Decimal Conversion?

Fraction to decimal conversion is the process of converting a fraction (a/b) into its decimal equivalent by dividing the numerator (a) by the denominator (b). This conversion is fundamental in mathematics and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the simple formula:

\[ \text{Decimal} = \frac{a}{b} = a \div b \]

Where:

Explanation: The calculator performs the division of the numerator by the denominator to give the decimal equivalent.

3. Importance of Fraction Conversion

Details: Converting fractions to decimals is essential for easier comparison of values, performing calculations, and in applications where decimal format is preferred or required.

4. Using the Calculator

Tips: Enter the numerator and denominator values. The denominator must be non-zero. The calculator will display the decimal equivalent rounded to 6 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter 0 as denominator?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q2: How precise is the conversion?
A: The result is rounded to 6 decimal places for readability while maintaining reasonable precision.

Q3: Can I convert mixed numbers?
A: For mixed numbers (e.g., 2 1/2), first convert to improper fraction (5/2) then use the calculator.

Q4: Does it work with negative fractions?
A: Yes, the calculator handles negative numerators or denominators.

Q5: What about repeating decimals?
A: The calculator shows the decimal approximation. Some fractions (like 1/3) will have repeating decimals that are rounded.

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