All-in-one fraction tool for arithmetic, simplification, mixed numbers & decimal conversion.
This all-in-one fraction calculator supports six core functional modules, covering fraction arithmetic, simplification, mixed number conversion, decimal bidirectional conversion, and ultra-large integer fraction computation. All outputs are auto-reduced to lowest terms with GCD algorithm, and returns mixed number, improper fraction and decimal results simultaneously.
| Tab Name | Core Function & Usage Scenario |
|---|---|
| Basic Arithmetic | Standard fraction + − × ÷ for two simple proper/improper fractions; auto simplify final output |
| Mixed Numbers | Compute arithmetic with mixed numbers (whole number + fraction), convert result to mixed form automatically |
| Simplify Fraction | Input any unreduced fraction, divide numerator & denominator by GCD to get lowest terms |
| Decimal → Fraction | Convert finite positive/negative decimal value to reduced fraction and mixed number |
| Fraction → Decimal | Execute long division to convert fraction to decimal value, show repeating decimal hint if exists |
| Big Number Fraction | Support arbitrary-length large integer inputs without overflow, for ultra-big fraction operation |
| Button | Function Definition | Operation Example |
|---|---|---|
| Calculate / Convert / Simplify | Trigger computation logic, validate input, output reduced fraction & auxiliary data | Input 3/4 + 1/6 → click Calculate → output 11/12 |
| Clear | Reset all input boxes and result display of current module to empty state | Clear all numerator, denominator & result fields |
| Operator Dropdown (+ − × ÷) | Select mathematical operation between two fractions | Select × to compute fraction multiplication |
| Numerator Input Box | Upper input field, represents the top value of fraction (integer, positive/negative) | Fraction 5/7 → numerator = 5 |
| Denominator Input Box | Lower input field, represents bottom value of fraction; CANNOT be zero | Fraction 5/7 → denominator = 7 |
| Mixed Whole Number Input | Integer part before fraction for mixed number calculation, supports negative value | -2 3/4 → whole number input = -2 |
a/b + c/d = (a×d + c×b) / (b×d)
Example: 3/4 + 1/6 = (18+4)/24 = 22/24 = 11/12
a/b − c/d = (a×d − c×b) / (b×d)
Example: 3/4 − 1/6 = (18−4)/24 = 14/24 = 7/12
a/b × c/d = (a×c) / (b×d)
Example: 3/4 × 1/6 = 3/24 = 1/8
a/b ÷ c/d = a/b × d/c = (a×d) / (b×c)
Example: 3/4 ÷ 1/6 = 18/4 = 9/2
Divide numerator and denominator by GCD (Greatest Common Divisor) of both values to get lowest terms.
Example: 220/440, GCD=220 → simplified to 1/2
Count decimal digits N, use 10^N as denominator, remove decimal point as numerator, then reduce fraction.
Example: 1.375 has 3 decimals → 1375/1000, GCD=125 → 11/8
A fraction represents a portion of a whole integer value, split into equal parts. A fraction consists of two core components separated by a dividing line:
Take fraction 3/8 as an example: The whole unit is split into 8 identical slices, and we take 3 slices out of the full set. If 3 slices are eaten, the remaining portion is 5/8.
Reason: Division by zero is undefined in mathematics, fraction with denominator 0 has no valid value.
Solution: Input a non-zero positive/negative integer for denominator field.
Reason: Input boxes only accept integer digits, minus sign "-" and decimal point for decimal module.
Solution: Remove letters, symbols, spaces and re-enter pure numbers.
Reason: One or multiple input fields are empty, missing numerator/denominator value.
Solution: Fill all required number input boxes before triggering calculation.
Rule: Negative sign only appears on numerator after simplification. If both numerator & denominator are negative, fraction becomes positive.