{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/estimating-sums-and-differences-of-fractions-calculator/schema.json",
  "title": "Estimating Sums and Differences of Fractions Calculator inputs",
  "description": "Estimate a fraction sum or difference using benchmark fractions, and compare it with the exact result.",
  "type": "object",
  "properties": {
    "operation": {
      "title": "Operation",
      "type": "string",
      "default": "add",
      "enum": [
        "add",
        "subtract"
      ],
      "x-optionLabels": {
        "add": "Add",
        "subtract": "Subtract"
      }
    },
    "numeratorA": {
      "title": "First numerator",
      "type": "number",
      "default": 5,
      "x-step": 1,
      "multipleOf": 1
    },
    "denominatorA": {
      "title": "First denominator",
      "type": "number",
      "default": 8,
      "x-step": 1,
      "multipleOf": 1
    },
    "numeratorB": {
      "title": "Second numerator",
      "type": "number",
      "default": 7,
      "x-step": 1,
      "multipleOf": 1
    },
    "denominatorB": {
      "title": "Second denominator",
      "type": "number",
      "default": 12,
      "x-step": 1,
      "multipleOf": 1
    },
    "benchmark": {
      "title": "Benchmark increment",
      "type": "string",
      "default": "half",
      "enum": [
        "whole",
        "half",
        "quarter",
        "tenth"
      ],
      "x-optionLabels": {
        "whole": "Nearest whole",
        "half": "Nearest half",
        "quarter": "Nearest quarter",
        "tenth": "Nearest tenth"
      }
    }
  },
  "required": [
    "operation",
    "numeratorA",
    "denominatorA",
    "numeratorB",
    "denominatorB",
    "benchmark"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "1.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/estimating-sums-and-differences-of-fractions-calculator/",
    "queryExample": "https://askcalculators.com/calculator/estimating-sums-and-differences-of-fractions-calculator/?operation=add&numeratorA=5&denominatorA=8&numeratorB=7&denominatorB=12&benchmark=half",
    "migrationStatus": "new",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "formula": {
      "expression": "round each fraction to a benchmark increment, then add or subtract; exact result uses a common denominator"
    },
    "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."
    },
    "outputs": {
      "estimate": {
        "title": "Estimated result",
        "type": "number",
        "x-format": "number",
        "x-digits": 6,
        "x-primary": true
      },
      "exactFraction": {
        "title": "Exact reduced result",
        "type": "string",
        "x-format": "text"
      },
      "exactDecimal": {
        "title": "Exact decimal",
        "type": "number",
        "x-format": "number",
        "x-digits": 12
      },
      "estimatedTerms": {
        "title": "Rounded terms",
        "type": "string",
        "x-format": "text"
      },
      "absoluteError": {
        "title": "Absolute error",
        "type": "number",
        "x-format": "number",
        "x-digits": 12
      }
    }
  }
}