{
  "id": "simplifying-complex-fractions-calculator",
  "version": "1.0.0",
  "name": "Simplifying Complex Fractions Calculator",
  "shortName": "Simplifying Complex Fractions",
  "description": "Simplify a complex fraction whose numerator and denominator each contain a sum or difference of two fractions.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "simplifying",
    "complex",
    "fractions",
    "calculator",
    "simplifying complex fractions calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/simplifying-complex-fractions-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/simplifying-complex-fractions-calculator/",
    "definition": "/calculator/simplifying-complex-fractions-calculator/definition.json",
    "schema": "/calculator/simplifying-complex-fractions-calculator/schema.json",
    "llms": "/calculator/simplifying-complex-fractions-calculator/llms.txt",
    "legacyDefinition": "/calculator/simplifying-complex-fractions-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/simplifying-complex-fractions-calculator/?a=1&b=2&topOperation=add&c=1&d=3&e=3&f=4&bottomOperation=subtract&g=1&h=4",
  "queryParameters": {
    "a": {
      "label": "a",
      "type": "number",
      "required": true,
      "default": 1
    },
    "b": {
      "label": "b",
      "type": "number",
      "required": true,
      "default": 2
    },
    "topOperation": {
      "label": "Top operation",
      "type": "select",
      "required": true,
      "default": "add"
    },
    "c": {
      "label": "c",
      "type": "number",
      "required": true,
      "default": 1
    },
    "d": {
      "label": "d",
      "type": "number",
      "required": true,
      "default": 3
    },
    "e": {
      "label": "e",
      "type": "number",
      "required": true,
      "default": 3
    },
    "f": {
      "label": "f",
      "type": "number",
      "required": true,
      "default": 4
    },
    "bottomOperation": {
      "label": "Bottom operation",
      "type": "select",
      "required": true,
      "default": "subtract"
    },
    "g": {
      "label": "g",
      "type": "number",
      "required": true,
      "default": 1
    },
    "h": {
      "label": "h",
      "type": "number",
      "required": true,
      "default": 4
    }
  },
  "inputs": [
    {
      "id": "a",
      "label": "a",
      "type": "number",
      "required": true,
      "defaultValue": 1,
      "step": 1
    },
    {
      "id": "b",
      "label": "b",
      "type": "number",
      "required": true,
      "defaultValue": 2,
      "step": 1
    },
    {
      "id": "topOperation",
      "label": "Top operation",
      "type": "select",
      "required": true,
      "defaultValue": "add",
      "options": [
        {
          "label": "Add",
          "value": "add"
        },
        {
          "label": "Subtract",
          "value": "subtract"
        }
      ]
    },
    {
      "id": "c",
      "label": "c",
      "type": "number",
      "required": true,
      "defaultValue": 1,
      "step": 1
    },
    {
      "id": "d",
      "label": "d",
      "type": "number",
      "required": true,
      "defaultValue": 3,
      "step": 1
    },
    {
      "id": "e",
      "label": "e",
      "type": "number",
      "required": true,
      "defaultValue": 3,
      "step": 1
    },
    {
      "id": "f",
      "label": "f",
      "type": "number",
      "required": true,
      "defaultValue": 4,
      "step": 1
    },
    {
      "id": "bottomOperation",
      "label": "Bottom operation",
      "type": "select",
      "required": true,
      "defaultValue": "subtract",
      "options": [
        {
          "label": "Add",
          "value": "add"
        },
        {
          "label": "Subtract",
          "value": "subtract"
        }
      ]
    },
    {
      "id": "g",
      "label": "g",
      "type": "number",
      "required": true,
      "defaultValue": 1,
      "step": 1
    },
    {
      "id": "h",
      "label": "h",
      "type": "number",
      "required": true,
      "defaultValue": 4,
      "step": 1
    }
  ],
  "outputs": [
    {
      "id": "simplified",
      "label": "Simplified result",
      "format": "text",
      "primary": true
    },
    {
      "id": "mixedNumber",
      "label": "Mixed number",
      "format": "text"
    },
    {
      "id": "decimal",
      "label": "Decimal value",
      "format": "number",
      "digits": 12
    },
    {
      "id": "topSimplified",
      "label": "Simplified numerator expression",
      "format": "text"
    },
    {
      "id": "bottomSimplified",
      "label": "Simplified denominator expression",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "[(a/b) ± (c/d)] ÷ [(e/f) ± (g/h)]"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "a": 1,
        "b": 2,
        "topOperation": "add",
        "c": 1,
        "d": 3,
        "e": 3,
        "f": 4,
        "bottomOperation": "subtract",
        "g": 1,
        "h": 4
      }
    }
  ],
  "sources": []
}