Exact fraction calculator: expressions and steps
Evaluate nested rational expressions, mixed numbers and repeating decimals exactly with BigInt fractions and arithmetic steps.
About this exact fraction calculator: expressions and steps
Evaluate nested rational expressions, mixed numbers and repeating decimals exactly with BigInt fractions and arithmetic steps Computes exact algebraic and numerical metrics directly in your browser using IEEE 754 precision without round-trip latency.
Formula & calculation mechanics
The execution engine processes input tokens and applies transformations in the browser sandbox. Specifically, Enter integers, fractions, mixed numbers (2 1/3), finite decimals or repeating decimals (0.(3), 1.2(34)). Use + - * / and parentheses. Multiplication and division precede addition and subtraction; equal precedence runs left to right. Enter calculates; Escape clears.
Worked numerical calculation
Scenario: Load example
Sample input:
Illustrative output:
Domain range & precision boundaries
Operational constraints and validation boundaries: Exact BigInt arithmetic. At most 4096 characters, 64 nested parentheses/signs, 256 digits per numeric literal and 4096 digits per intermediate numerator/denominator before reduction. Use a dot as decimal separator and explicit multiplication. Mixed-number sign applies to the whole number: -2 1/3 = -7/3.
Calculations in Exact fraction calculator: expressions and steps use standard IEEE 754 precision or exact rational models. Verify significant accounting or tax figures with authoritative references.
In-browser calculation boundary
Formula calculations and numeric evaluations in Exact fraction calculator: expressions and steps run synchronously in the browser JavaScript engine with zero server telemetry.
Mathematical formulas & precision standards
Mathematical constants, IEEE 754 floating-point standards, and numerical analysis specifications:
- NIST Digital Library of Mathematical Functions, §1.2 — Elementary Algebra
- ECMAScript 2026, §6.1.6.1 Number Type
Exact fraction calculator: expressions and steps verification · Audit standards
How to use it
- Enter, paste, or select your input data into the Exact fraction calculator: expressions and steps workspace controls.
- 0.(3) + 1/6 = 1/2.
- Click the action button or observe immediate live calculations rendered by Exact fraction calculator: expressions and steps.
Frequently asked questions
How does Fraction Calculator & Simplifier configure expression?+
Enter integers, fractions, mixed numbers (2 1/3), finite decimals or repeating decimals (0.(3), 1.2(34)).
Load example+
2/3 + 5/7 * (1 + 1/4) = 131/84 = 1 47/84. 0.(3) + 1/6 = 1/2.
Arithmetic steps+
Exact BigInt arithmetic.
Exact decimal+
Parentheses in a decimal mark its repeating cycle. Long division shows at most 200 decimal digits; longer cycles are explicitly truncated, while the fraction remains exact. Steps show normalized operands, a common denominator for addition/subtraction, the unreduced result and its GCD. Division multiplies by the reciprocal. Expanded equations show each numerator multiplied by its denominator scaling factor, the resulting numerator sum or difference, and numerator/denominator products for multiplication or reciprocal division.