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Write Fractions As Decimals Calculator

Fraction to Decimal Formula:

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

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1. What is Fraction to Decimal Conversion?

Converting fractions to decimals is a fundamental mathematical operation that represents the same value in decimal form. This conversion is essential for many calculations where decimal format is preferred or required.

2. How Does the Calculator Work?

The calculator uses the simple division formula:

\[ \text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}} \]

Where:

Explanation: The fraction a/b means "a divided by b". The calculator performs this division to give the decimal equivalent.

3. Importance of Decimal Conversion

Details: Decimal numbers are often easier to work with in calculations, comparisons, and measurements. Many real-world applications (finance, engineering, science) require decimal format.

4. Using the Calculator

Tips: Enter any numbers for numerator and denominator (denominator cannot be zero). The calculator will divide them and show the decimal result rounded to 6 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

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

Q3: Can I convert mixed numbers?
A: First convert the mixed number to an improper fraction, then use the calculator.

Q4: What about repeating decimals?
A: The calculator shows the decimal approximation. Exact repeating decimals may be displayed as rounded numbers.

Q5: Why use decimals instead of fractions?
A: Decimals are often preferred for calculations, comparisons, and in digital systems where fractional display isn't practical.

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