1. What is Fraction to Percent Conversion?

Converting fractions to percentages is a fundamental mathematical operation that expresses a fraction as an equivalent percentage. For mixed numbers (combinations of whole numbers and fractions), we first convert to an improper fraction before calculating the percentage.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• Whole Number — The integer part of the mixed number
• Numerator — The top number of the fraction part
• Denominator — The bottom number of the fraction part (must be positive)

Explanation: The formula first converts the mixed number to an improper fraction, then multiplies by 100 to convert to percentage.

3. Importance of Percentage Conversion

Details: Percentages are more intuitive than fractions for comparing proportions and are widely used in statistics, finance, and everyday measurements.

4. Using the Calculator

Tips: Enter the whole number (0 if none), numerator, and denominator. The denominator must be positive. The calculator will convert the mixed number to percentage.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between proper and improper fractions?
A: Proper fractions have numerators smaller than denominators (e.g., 1/2). Improper fractions have numerators equal to or larger than denominators (e.g., 5/2).

Q2: How do I convert a simple fraction (no whole number)?
A: Just enter 0 for the whole number, then your numerator and denominator.

Q3: What if my fraction is negative?
A: Negative fractions should be entered with a negative numerator (whole number can be positive or negative).

Q4: Why can't the denominator be zero?
A: Division by zero is mathematically undefined and impossible.

Q5: How precise is the conversion?
A: The calculator shows results rounded to two decimal places for clarity.