{"success":true,"version":"v1","request":{"tool":"get_calculator_schema","calculator_id":"fraction-simplifier"},"result":{"entity_type":"calculator","id":"fraction-simplifier","calculator_id":"fraction-simplifier","canonical_url":"https://tttkmbb.com/math/fraction-simplifier","name":"Fraction Simplifier","title":"Fraction Simplifier – Reduce to Lowest Terms, Mixed Number, Decimal and Percent","category":"math","category_name":"Math","tool_name":"calculate_simplified_fraction","featured_mcp_tool":false,"description":"Reduces a fraction to lowest terms by dividing by the GCD and converts it to a mixed number, a decimal and a percentage.","use_when":"You have a numerator and denominator and want the reduced fraction, its mixed-number form, decimal value or percent.","do_not_use_when":"You need to add or multiply fractions (reduce each result with this tool afterwards) or to simplify a ratio of non-integers (use ratio).","inputs":[{"name":"numerator","label":"Numerator","type":"integer","required":true,"min":-1000000000000000,"max":1000000000000000,"description":"Top number of the fraction (may be negative).","example":6},{"name":"denominator","label":"Denominator","type":"integer","required":true,"min":-1000000000000000,"max":1000000000000000,"description":"Bottom number of the fraction; must not be 0.","example":8}],"outputs":[{"name":"simplified","label":"Simplified fraction","type":"string","decimals":4,"description":"Lowest-terms fraction with the sign in the numerator, e.g. '3/4' (a whole number when the denominator reduces to 1)."},{"name":"simplified_numerator","label":"Numerator","type":"integer","decimals":0,"description":"Numerator after reduction."},{"name":"simplified_denominator","label":"Denominator","type":"integer","decimals":0,"description":"Denominator after reduction (always positive)."},{"name":"mixed_number","label":"Mixed number","type":"string","decimals":4,"description":"Whole part plus proper fraction, e.g. '2 1/2'."},{"name":"decimal","label":"Decimal","type":"number","decimals":6,"description":"numerator / denominator."},{"name":"percent","label":"Percent","type":"number","unit":"%","decimals":2,"description":"numerator / denominator × 100."},{"name":"gcd","label":"GCD used","type":"integer","decimals":0,"description":"Greatest common divisor the fraction was divided by."}],"input_schema":{"type":"object","properties":{"numerator":{"description":"Top number of the fraction (may be negative).","type":"integer","minimum":-1000000000000000,"maximum":1000000000000000,"examples":[6]},"denominator":{"description":"Bottom number of the fraction; must not be 0.","type":"integer","minimum":-1000000000000000,"maximum":1000000000000000,"examples":[8]}},"additionalProperties":false,"required":["numerator","denominator"]},"output_schema":{"type":"object","properties":{"simplified":{"description":"Lowest-terms fraction with the sign in the numerator, e.g. '3/4' (a whole number when the denominator reduces to 1).","type":"string"},"simplified_numerator":{"description":"Numerator after reduction.","type":"integer"},"simplified_denominator":{"description":"Denominator after reduction (always positive).","type":"integer"},"mixed_number":{"description":"Whole part plus proper fraction, e.g. '2 1/2'.","type":"string"},"decimal":{"description":"numerator / denominator.","type":"number"},"percent":{"description":"numerator / denominator × 100. Unit: %.","type":"number","x-unit":"%"},"gcd":{"description":"Greatest common divisor the fraction was divided by.","type":"integer"}}},"formula":"simplified = (numerator / g) / (denominator / g) with g = gcd(|numerator|, |denominator|); decimal = numerator / denominator; percent = decimal × 100","sources":[{"name":"Wikipedia – Irreducible fraction","url":"https://en.wikipedia.org/wiki/Irreducible_fraction","type":"reference","retrieved_at":"2026-09-23"},{"name":"Wikipedia – Fraction","url":"https://en.wikipedia.org/wiki/Fraction","type":"reference","retrieved_at":"2026-09-23"},{"name":"Wolfram MathWorld – Fraction","url":"https://mathworld.wolfram.com/Fraction.html","type":"reference","retrieved_at":"2026-09-23"}],"freshness":{"type":"static","max_age_seconds":null,"note":"Deterministic formula with fixed constants; results never go stale. Inputs supplied by the caller determine the output."},"examples":[{"name":"6/8","inputs":{"numerator":6,"denominator":8},"expected":{"simplified":"3/4","simplified_numerator":3,"simplified_denominator":4,"mixed_number":"3/4","decimal":0.75,"percent":75,"gcd":2},"url":"https://tttkmbb.com/api/v1/calculate/fraction-simplifier?numerator=6&denominator=8"},{"name":"10/4","inputs":{"numerator":10,"denominator":4},"expected":{"simplified":"5/2","mixed_number":"2 1/2","decimal":2.5,"percent":250,"gcd":2},"url":"https://tttkmbb.com/api/v1/calculate/fraction-simplifier?numerator=10&denominator=4"}],"faq":[{"q":"How is a negative fraction written?","a":"The sign is moved to the numerator: 6/−8 becomes −3/4, and the mixed form of −5/4 is '-1 1/4'."},{"q":"Can I enter decimals?","a":"No, both parts must be integers. Convert a decimal such as 0.75 to 75/100 first (or use ratio for non-integer pairs)."}],"tags":["simplify fraction","reduce fraction","lowest terms","mixed number","fraction to decimal","fraction to percent"],"related":[{"calculator_id":"gcd-lcm","reason":"The GCD used to reduce the fraction."},{"calculator_id":"ratio","reason":"Simplify a ratio (also works with decimals)."},{"calculator_id":"percentage","reason":"Percent arithmetic on the resulting value."}],"links":{"html":"https://tttkmbb.com/math/fraction-simplifier","markdown":"https://tttkmbb.com/math/fraction-simplifier.md","json":"https://tttkmbb.com/math/fraction-simplifier.json","api":"https://tttkmbb.com/api/v1/calculate/fraction-simplifier","schema":"https://tttkmbb.com/api/v1/calculators/fraction-simplifier","openapi":"https://tttkmbb.com/openapi.json","mcp":"https://tttkmbb.com/mcp"},"version":"v1","updated_at":"2026-09-23"},"timestamp":"2026-09-23T23:25:36Z","next_actions":[{"tool":"run_calculator","calculator_id":"fraction-simplifier","reason":"Run Fraction Simplifier with the inputs above."}],"links":{"markdown":"https://tttkmbb.com/math/fraction-simplifier.md"}}