{
  "id": "estimating-sums-and-differences-of-fractions-calculator",
  "version": "1.0.0",
  "name": "Estimating Sums and Differences of Fractions Calculator",
  "shortName": "Estimating Sums and Differences of Fractio",
  "description": "Estimate a fraction sum or difference using benchmark fractions, and compare it with the exact result.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "estimating",
    "sums",
    "and",
    "differences",
    "of",
    "fractions",
    "calculator",
    "estimating sums and differences of fractions calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/estimating-sums-and-differences-of-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/estimating-sums-and-differences-of-fractions-calculator/",
    "definition": "/calculator/estimating-sums-and-differences-of-fractions-calculator/definition.json",
    "schema": "/calculator/estimating-sums-and-differences-of-fractions-calculator/schema.json",
    "llms": "/calculator/estimating-sums-and-differences-of-fractions-calculator/llms.txt",
    "legacyDefinition": "/calculator/estimating-sums-and-differences-of-fractions-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/estimating-sums-and-differences-of-fractions-calculator/?operation=add&numeratorA=5&denominatorA=8&numeratorB=7&denominatorB=12&benchmark=half",
  "queryParameters": {
    "operation": {
      "label": "Operation",
      "type": "select",
      "required": true,
      "default": "add"
    },
    "numeratorA": {
      "label": "First numerator",
      "type": "number",
      "required": true,
      "default": 5
    },
    "denominatorA": {
      "label": "First denominator",
      "type": "number",
      "required": true,
      "default": 8
    },
    "numeratorB": {
      "label": "Second numerator",
      "type": "number",
      "required": true,
      "default": 7
    },
    "denominatorB": {
      "label": "Second denominator",
      "type": "number",
      "required": true,
      "default": 12
    },
    "benchmark": {
      "label": "Benchmark increment",
      "type": "select",
      "required": true,
      "default": "half"
    }
  },
  "inputs": [
    {
      "id": "operation",
      "label": "Operation",
      "type": "select",
      "required": true,
      "defaultValue": "add",
      "options": [
        {
          "label": "Add",
          "value": "add"
        },
        {
          "label": "Subtract",
          "value": "subtract"
        }
      ]
    },
    {
      "id": "numeratorA",
      "label": "First numerator",
      "type": "number",
      "required": true,
      "defaultValue": 5,
      "step": 1
    },
    {
      "id": "denominatorA",
      "label": "First denominator",
      "type": "number",
      "required": true,
      "defaultValue": 8,
      "step": 1
    },
    {
      "id": "numeratorB",
      "label": "Second numerator",
      "type": "number",
      "required": true,
      "defaultValue": 7,
      "step": 1
    },
    {
      "id": "denominatorB",
      "label": "Second denominator",
      "type": "number",
      "required": true,
      "defaultValue": 12,
      "step": 1
    },
    {
      "id": "benchmark",
      "label": "Benchmark increment",
      "type": "select",
      "required": true,
      "defaultValue": "half",
      "options": [
        {
          "label": "Nearest whole",
          "value": "whole"
        },
        {
          "label": "Nearest half",
          "value": "half"
        },
        {
          "label": "Nearest quarter",
          "value": "quarter"
        },
        {
          "label": "Nearest tenth",
          "value": "tenth"
        }
      ]
    }
  ],
  "outputs": [
    {
      "id": "estimate",
      "label": "Estimated result",
      "format": "number",
      "primary": true,
      "digits": 6
    },
    {
      "id": "exactFraction",
      "label": "Exact reduced result",
      "format": "text"
    },
    {
      "id": "exactDecimal",
      "label": "Exact decimal",
      "format": "number",
      "digits": 12
    },
    {
      "id": "estimatedTerms",
      "label": "Rounded terms",
      "format": "text"
    },
    {
      "id": "absoluteError",
      "label": "Absolute error",
      "format": "number",
      "digits": 12
    }
  ],
  "formula": {
    "expression": "round each fraction to a benchmark increment, then add or subtract; exact result uses a common denominator"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "operation": "add",
        "numeratorA": 5,
        "denominatorA": 8,
        "numeratorB": 7,
        "denominatorB": 12,
        "benchmark": "half"
      }
    }
  ],
  "sources": []
}