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Fraction To Decimal Calculator

Fraction to Decimal Conversion:

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

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1. What is Fraction to Decimal Conversion?

Fraction to decimal conversion is the process of converting a fractional number (a/b) to 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 division formula:

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

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, finance, and daily life.

4. Using the Calculator

Tips: Enter both numerator and denominator values. The denominator must be non-zero. The calculator will automatically compute the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if the denominator is zero?
A: Division by zero is undefined. The calculator will not compute a result if zero is entered as the denominator.

Q2: How precise are the results?
A: Results are rounded to 6 decimal places for readability while maintaining reasonable precision.

Q3: Can I enter negative numbers?
A: Yes, both numerator and denominator can be negative, following standard mathematical rules (negative divided by negative is positive, etc.).

Q4: What about repeating decimals?
A: The calculator shows the decimal approximation. For exact repeating decimals, consider using mathematical notation (e.g., 0.333... or 0.3̄).

Q5: 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.

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