Fraction, Decimal & Percent Converter
Convert between fractions, decimal numbers, and percentages with exact reduction and repeating fraction detection.
Conversion formulas
Fundamental arithmetic rules connecting fractions, decimals, and percentage scales:
Fraction to Decimal
Decimal to Percent
Percent to Fraction
Frequently asked questions
How do you convert a fraction to a percentage?
Divide the numerator by the denominator and multiply by 100: Percentage = (Numerator ÷ Denominator) × 100. For example, 3/4 is (3 ÷ 4) × 100 = 0.75 × 100 = 75.00%.
How do you convert a decimal to a percentage?
Multiply the decimal by 100 and append the % sign. For example, 0.42 × 100 = 42.00%.
How do you convert a percentage to a simplified fraction?
Place the percentage over 100 and simplify by dividing both numerator and denominator by their greatest common divisor (GCD). For example, 35% = 35/100 = 7/20.
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