Fraction to Decimal & Percentage Converter
Convert any fraction to a decimal, percentage, simplified form, or mixed number with this free online tool. Simply enter the numerator and denominator, and the converter instantly displays all representations of your fraction.
Fractions, decimals, and percentages are three different ways to express the same value. Being able to convert between them is a fundamental math skill used throughout education, science, finance, and everyday life.
Conversion Formulas:
- Fraction to Decimal: Divide the numerator by the denominator. For example, 3/4 = 3 divided by 4 = 0.75.
- Fraction to Percentage: Convert to decimal, then multiply by 100. For example, 3/4 = 0.75 x 100 = 75%.
- Simplifying a Fraction: Divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 6/8: GCD(6,8) = 2, so 6/8 = 3/4.
- Mixed Numbers: When the numerator is larger than the denominator (improper fraction), divide to get the whole number and remainder. For example, 7/3 = 2 with remainder 1, so 7/3 = 2 1/3.
This converter handles positive and negative fractions, reduces them to simplest form, and provides the mixed number representation when applicable.