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Convert Fraction 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) to its decimal equivalent by dividing the numerator (a) by the denominator (b). This provides an alternative representation of the same value.

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 calculations, comparisons, and practical applications in science, engineering, and everyday life.

4. Using the Calculator

Tips: Enter both 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 get a repeating decimal?
A: The calculator shows a rounded decimal. For exact repeating decimals, consider using fraction notation.

Q2: Can I convert mixed numbers?
A: First convert the mixed number to an improper fraction (whole number × denominator + numerator), then use the calculator.

Q3: What's the maximum precision?
A: The calculator shows up to 6 decimal places, though internal calculations use higher precision.

Q4: Why does division by zero give an error?
A: Division by zero is mathematically undefined, as it would require an infinite result.

Q5: Can I use negative numbers?
A: Yes, but only in the numerator. A negative denominator would be treated as positive (sign moves to numerator).

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