Fraction to Decimal to Percent Calculator
Convert between fractions, decimals, and percentages instantly. Get simplified fractions, mixed numbers, and step-by-step calculations.
Top number of the fraction
Bottom number of the fraction (cannot be zero)
How do you convert a fraction to a decimal?
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75. If the division results in a repeating decimal, you can round to the desired number of decimal places. For example, 1/3 = 0.333...
How do you convert a decimal to a percentage?
To convert a decimal to a percentage, multiply by 100 and add the % symbol. For example, 0.75 × 100 = 75%. This works because "percent" means "per hundred," so 0.75 = 75/100 = 75%.
How do you convert a percentage to a fraction?
To convert a percentage to a fraction, write the percentage as a fraction over 100, then simplify. For example, 60% = 60/100 = 3/5 (dividing both by 20). For percentages with decimals like 12.5%, first convert: 12.5/100 = 125/1000 = 1/8.
What is the easiest way to simplify fractions?
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example, to simplify 12/18: GCD(12, 18) = 6, so 12/18 = (12÷6)/(18÷6) = 2/3. This gives you the fraction in its lowest terms.