Fraction Calculator — Add, Subtract, Multiply, Divide, Simplify & Convert
A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number). GetTools' free Fraction Calculator lets you perform all arithmetic operations on fractions with full precision — addition, subtraction, multiplication, or division — always displaying the result in its simplest form along with the decimal value and percentage equivalent.
The Four Fraction Operations Explained
Each arithmetic operation with fractions follows specific mathematical rules:
- Addition and Subtraction: Denominators must be unified using the Least Common Multiple (LCM) before adding or subtracting the numerators. Example: ½ + ⅓ = 3/6 + 2/6 = 5/6
- Multiplication: Multiply numerators together and denominators together. Example: ⅔ × ¾ = 6/12 = ½
- Division: Flip the second fraction (find its reciprocal), then multiply. Example: ½ ÷ ¼ = ½ × 4/1 = 2
The tool performs all these steps automatically and simplifies the result to its lowest terms using the Greatest Common Divisor (GCD).
Simplifying Fractions — What is the GCD?
Simplifying a fraction means reducing it to the smallest possible numbers while keeping the same value. This is done by dividing both numerator and denominator by their Greatest Common Divisor (GCD) — the largest whole number that divides both without a remainder. For example, 12/18 simplifies to 2/3 because GCD(12,18) = 6. Use the Simplify tab to instantly reduce any fraction to its lowest terms.
Converting Fractions to Decimals and Percentages
Any fraction can be converted to a decimal by dividing the numerator by the denominator. For instance, 3/4 = 0.75, which equals 75%. This conversion is extremely useful when comparing different fractions, or when you need to use fractional values in financial, scientific, or statistical calculations. The tool displays decimal values with up to 8 decimal places of precision.
Who Benefits from a Fraction Calculator?
- Students: From elementary school through university — quickly solve fraction problems and verify answers without manual calculation errors
- Teachers: Prepare examples, create worksheets, and instantly verify student solutions
- Cooks and Bakers: Scale recipes up or down by multiplying or dividing fractional quantities with confidence
- Engineers and Technicians: Perform precise calculations involving measurements, ratios, and proportions
- Finance and Accounting: Work with fractional interest rates, proportional allocations, and ratio-based calculations