Fraction Simplifier: API and MCP

Fraction Simplifier over REST and MCP: input fields, limits, outputs, one example request and its real answer. Free, no sign-up.

Id: math.fraction
Version: 1.0.0
Access: Free
Tool page: Fraction Simplifier
Schema: GET /api/v1/tools/math.fraction

Input

Field	Type	Constraints	Default	Description
`numerator` (required)	integer	≥ -1,000,000,000,000, ≤ 1,000,000,000,000		Numerator
`denominator` (required)	integer	≥ -1,000,000,000,000, ≤ 1,000,000,000,000		Denominator

Output

Field	Type	Description
`simplifiedNumerator`	number	Simplified numerator
`simplifiedDenominator`	number	Simplified denominator
`gcd`	number	GCD (greatest common divisor)
`decimal`	number	Decimal value
`wholePart`	number	Whole part
`remainder`	number	Remainder (numerator of the mixed number)
`signMoved`	boolean	The denominator was negative; the minus sign was moved to the numerator.

Example request

{
  "input": {
    "numerator": 84,
    "denominator": 126
  },
  "locale": "en"
}

Example answer

{
  "output": {
    "simplifiedNumerator": 2,
    "simplifiedDenominator": 3,
    "gcd": 42,
    "decimal": 0.6666666666666666,
    "wholePart": 0,
    "remainder": 2,
    "signMoved": false
  },
  "steps": [
    {
      "id": "gcd",
      "formula": "GCD = gcd(|numerator|, denominator)",
      "substitution": "GCD = gcd(84, 126)",
      "value": 42
    },
    {
      "id": "simplifiedNumerator",
      "formula": "simplified numerator = numerator / GCD",
      "substitution": "simplified numerator = 84 / 42",
      "value": 2
    },
    {
      "id": "simplifiedDenominator",
      "formula": "simplified denominator = denominator / GCD",
      "substitution": "simplified denominator = 126 / 42",
      "value": 3
    },
    {
      "id": "decimal",
      "formula": "decimal = numerator / denominator",
      "substitution": "decimal = 84 / 126",
      "value": 0.6666666666666666
    },
    {
      "id": "wholePart",
      "formula": "whole part = (simplified numerator − remainder) / simplified denominator",
      "substitution": "whole part = (2 − 2) / 3",
      "value": 0
    },
    {
      "id": "remainder",
      "formula": "remainder = simplified numerator − whole part × simplified denominator",
      "substitution": "remainder = 2 − 0 × 3",
      "value": 2
    }
  ],
  "meta": {
    "toolVersion": "1.0.0",
    "locale": "en"
  },
  "citation": {
    "url": "https://hesaplayici.com/en/math/simplify-fractions-calculator",
    "title": "Fraction Simplifier"
  }
}