Add, Subtract, Multiply, and Divide fractions with step-by-step precision.
In mathematics, fractions represent a part of a whole, and while they're fundamental to learning, performing operations with them can often be tricky. Whether you're a student learning to add and subtract fractions, a chef adjusting a recipe, or someone measuring a precise cut, a Fraction Calculator is an invaluable tool.
Our Fraction Calculator takes two simple fractions (a numerator and denominator for each) and instantly performs addition, subtraction, multiplication, or division, returning a fully simplified result plus its decimal equivalent. It's completely free, works instantly, and requires no sign-up.
Where the numerator is smaller than the denominator (e.g., 3/4 or 1/2). These always represent a value less than one.
Where the numerator is equal to or larger than the denominator (e.g., 5/4 or 7/3). This calculator can accept and output these directly — the simplified result stays in improper form rather than being converted to a mixed number.
A combination of a whole number and a proper fraction (e.g., 2½). Commonly used in daily life, such as measurements and cooking.
To add or subtract fractions, you need a common denominator. This calculator uses the direct cross-multiplication method:
a/b ± c/d = (ad ± bc) / bd
Multiplying is simpler: multiply the numerators together and the denominators together.
a/b × c/d = ac / bd
To divide, multiply the first fraction by the reciprocal (the flipped version) of the second fraction.
a/b ÷ c/d = a/b × d/c = ad / bc
This tool displays the final simplified fraction and decimal value only — it doesn't show the intermediate step-by-step working, and it doesn't convert improper fraction results into mixed-number format. If you need to see the full working, try solving it manually using the formulas above alongside the calculator's answer to check your work.
| Fraction | Decimal Equivalent | Percentage (%) |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/3 | 0.333... | 33.33% |
| 1/8 | 0.125 | 12.5% |
Since this calculator only accepts simple fractions, entering a mixed number's whole part and fraction part separately (instead of converting to an improper fraction first) will give an incorrect result.
Division by zero is mathematically undefined. This calculator will alert you if this happens rather than returning a result.
If either the numerator or denominator is negative, the entire fraction is negative — make sure to enter negative numbers correctly using the minus sign.
Whether you're checking homework, adjusting a recipe, or working through a measurement problem, this calculator handles the arithmetic and simplification for you. Use the tool above with simple fractions (converting any mixed numbers first), and refer to the formulas here if you need to double-check the working by hand.