Turn Fraction Into Number

Convert a fraction to decimal or mixed number:

\[ \text{Decimal} = \frac{a}{b} \] \[ \text{Mixed Number} = \text{whole number} + \frac{\text{remainder}}{b} \]

Decimal Result:

Mixed Number:

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1. What is Fraction Conversion?

Fraction conversion transforms a fraction (a/b) into either a decimal number or a mixed number (combination of whole number and proper fraction). This is useful for easier interpretation and calculations in various mathematical and real-world applications.

2. How Does the Calculator Work?

The calculator uses simple division and modulo operations:

\[ \text{Decimal} = \frac{\text{numerator}}{\text{denominator}} \] \[ \text{Mixed Number} = \text{whole number part} + \frac{\text{remainder}}{\text{denominator}} \]

Where:

Numerator — The top number in the fraction
Denominator — The bottom number in the fraction (cannot be zero)
Whole number part — Integer division result
Remainder — What's left after integer division

3. Importance of Fraction Conversion

Details: Converting fractions to decimals makes them easier to compare, add to other decimal numbers, and use in everyday measurements. Mixed numbers are often more intuitive for representing quantities in real-world scenarios.

4. Using the Calculator

Tips: Enter any integer numerator and any non-zero integer denominator. The calculator will show both the decimal equivalent and the mixed number form (when applicable).

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 many decimal places are shown?
A: Results are rounded to 4 decimal places for clarity.

Q3: When is a mixed number shown?
A: A mixed number is shown when the absolute value of the fraction is greater than 1 and doesn't divide evenly.

Q4: What about negative fractions?
A: Negative fractions are properly handled, with the negative sign applied to the whole mixed number or decimal.

Q5: Can I enter decimal numbers?
A: This calculator is designed for integer fractions. For decimal inputs, consider simplifying first.