Fraction Calculator & Simplifier
Fraction Calculator & Simplifier: Finds least common multiple of denominators (6), computes numerators (3 + 2 = 5), and checks greatest common divisor.
About this fraction calculator & simplifier
Fraction Calculator & Simplifier — browser-based utility.
How this tool works
Calculation and parameter relationship: a/b+c/d=(ad+bc)/(bd); a/b÷c/d=ad/(bc)
- Paste the sample input into “Input”.
- Click “Run locally”.
- Compare “Raw Output Data” with the example; revise inputs when an error is shown.
Worked example
Scenario: Add a large odd numerator over six to one third without Number rounding.
Sample input:
Processing: Convert 1/3 to 2/6, add the BigInt numerators, and retain the already coprime denominator.
Illustrative output:
Limits and verification
Parameter domains and units: a,b,c,d ∈ ℤ; b,d ≠ 0; a/b ÷ c/d ⇒ c ≠ 0; BigInt. Results use binary64 floating-point numbers unless BigInt is stated. Result cards show up to 10 significant digits; raw output retains the serialized value. A null ratio means the model has no meaningful finite value for that ratio; it is not zero.
Examples demonstrate an expected workflow; they do not prove every input or every branch of an external specification. Check important results with an independent source before using them for money, security, compliance, safety, or irreversible file changes.
Browser processing boundary
Tool input is processed by code running in the browser and is not intentionally sent to a CZOA processing API. The page can still request ordinary site assets, analytics, or advertising when those services are enabled. Browser extensions and managed-device software remain outside this tool's control.
Relevant references
These references govern or help explain the format, protocol, or calculation used here. Listing a reference does not claim certification or complete implementation of every optional feature.
- NIST Digital Library of Mathematical Functions, §1.2 — Elementary Algebra
- ECMAScript 2026, §6.1.6.1 Number Type
Content owner: CZOA Tools · Last reviewed: 2026-09-15 · Review methodology
How to use it
- Paste the sample input into “Input”.
- Click “Run locally”.
- Compare “Raw Output Data” with the example; revise inputs when an error is shown.
Frequently asked questions
How does the fraction calculator compute and simplify a result?+
The calculator parses two signed integer fractions and one operator (+, -, * or /) as BigInt, performs cross multiplication or reciprocal multiplication, then reduces numerator and denominator by their greatest common divisor.
Which fraction expression formats are accepted?+
Use exactly a/b + c/d, a/b - c/d, a/b * c/d, or a/b / c/d with signed decimal integers. Decimal literals, parentheses and chained operations are not accepted.
What zero and precision boundaries apply to fraction arithmetic?+
Both input denominators must be nonzero. For division, the second numerator must also be nonzero because its fraction is inverted. BigInt keeps integer arithmetic exact and the normalized denominator is positive.
What did the large-integer browser fixture verify?+
The browser fixture verified 9007199254740993/6 + 1/3 as 9007199254740995/6, using values above Number’s safe range. It ran locally and recorded no submitted tool payload.