[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"glossary:en":3,"tool-content:en:fraction-calculator":4,"published-tools-en":63},[],{"id":5,"documentId":6,"slug":7,"intro":8,"howTo":9,"longContent":10,"createdAt":11,"updatedAt":12,"publishedAt":13,"locale":14,"name":15,"faq":16,"examples":37,"category":38,"seo":47,"localizations":52,"metaTitle":49,"metaDescription":50},118,"g9zbpsdtaots1iuz9i97my9n","fraction-calculator","\u003Cp>This \u003Cstrong>fraction calculator\u003C\u002Fstrong> adds, subtracts, multiplies and divides two fractions and always returns the exact simplified answer. You also get the \u003Cstrong>mixed number\u003C\u002Fstrong> form when the fraction runs above one, plus the decimal value, all updated as you type.\u003C\u002Fp>","\u003Col>\u003Cli>Type the numerator and denominator of each fraction in the stacked fields.\u003C\u002Fli>\u003Cli>Pick the operation: add, subtract, multiply or divide.\u003C\u002Fli>\u003Cli>Read the simplified fraction, the mixed number and the decimal, updated live.\u003C\u002Fli>\u003Cli>Copy or download the result with the buttons under the tool.\u003C\u002Fli>\u003C\u002Fol>","\u003Ch2 id=\"how-fraction-operations-work\">How does the calculator work with fractions?\u003C\u002Fh2>\n\u003Cp>The tool runs on exact integer arithmetic, never on rounded decimals. It computes the raw result of your operation, then reduces it with the \u003Cstrong>greatest common divisor\u003C\u002Fstrong> (GCD), so 42\u002F56 always comes back as 3\u002F4 rather than 0.75 with hidden rounding. The decimal value rides along for reference and stays out of the math itself.\u003C\u002Fp>\n\u003Ch3 id=\"the-four-operations\">The four operations\u003C\u002Fh3>\n\u003Ctable>\u003Cthead>\u003Ctr>\u003Cth>Operation\u003C\u002Fth>\u003Cth>Rule\u003C\u002Fth>\u003Cth>Example\u003C\u002Fth>\u003C\u002Ftr>\u003C\u002Fthead>\u003Ctbody>\n\u003Ctr>\u003Ctd>Addition\u003C\u002Ftd>\u003Ctd>a\u002Fb + c\u002Fd = (ad + cb) ÷ bd\u003C\u002Ftd>\u003Ctd>1\u002F2 + 1\u002F3 = 5\u002F6\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>Subtraction\u003C\u002Ftd>\u003Ctd>a\u002Fb - c\u002Fd = (ad - cb) ÷ bd\u003C\u002Ftd>\u003Ctd>1\u002F2 - 1\u002F3 = 1\u002F6\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>Multiplication\u003C\u002Ftd>\u003Ctd>a\u002Fb × c\u002Fd = ac ÷ bd\u003C\u002Ftd>\u003Ctd>3\u002F4 × 2\u002F5 = 3\u002F10\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>Division\u003C\u002Ftd>\u003Ctd>a\u002Fb ÷ c\u002Fd = ad ÷ bc\u003C\u002Ftd>\u003Ctd>1\u002F2 ÷ 1\u002F4 = 2\u003C\u002Ftd>\u003C\u002Ftr>\n\u003C\u002Ftbody>\u003C\u002Ftable>\n\u003Ch2 id=\"adding-fractions-step-by-step\">How do I add two fractions step by step?\u003C\u002Fh2>\n\u003Cp>Adding 1\u002F2 and 1\u002F3 by hand needs a \u003Cstrong>common denominator\u003C\u002Fstrong>. Multiply each numerator by the other denominator: 1 × 3 = 3 and 1 × 2 = 2, then put the sum over the product of the denominators: (3 + 2) ÷ 6 = \u003Cstrong>5\u002F6\u003C\u002Fstrong>. The calculator does exactly that, then checks whether the result reduces. Here 5 and 6 share no factor, so 5\u002F6 is final.\u003C\u002Fp>\n\u003Ch2 id=\"simplifying-a-fraction\">How do I simplify a fraction with the GCD?\u003C\u002Fh2>\n\u003Cp>Simplifying divides the numerator and the denominator by their greatest common divisor. For 42\u002F56, the GCD of 42 and 56 is \u003Cstrong>14\u003C\u002Fstrong>, so 42\u002F56 = 3\u002F4. To use the tool as a plain fraction simplifier, \u003Cstrong>divide your fraction by 1\u002F1\u003C\u002Fstrong>: you get back the same fraction, fully reduced. The sign always rides on the numerator, so 1\u002F-2 shows as -1\u002F2.\u003C\u002Fp>\n\u003Ch2 id=\"mixed-numbers-and-decimals\">What are the mixed number and decimal forms?\u003C\u002Fh2>\n\u003Cp>When the result is an \u003Cstrong>improper fraction\u003C\u002Fstrong> like 7\u002F6, the calculator also shows the mixed number 1 1\u002F6: one whole plus 1\u002F6. That is the form recipes and measurements use, 1 1\u002F2 cups rather than 3\u002F2 cups. The decimal lands last, rounded to at most 6 places for display only, so 5\u002F6 shows as 0.833333 while the stored math stays exact.\u003C\u002Fp>\n\u003Ch2 id=\"everyday-uses\">Where do fractions come up day to day?\u003C\u002Fh2>\n\u003Cp>Fractions turn up wherever measurements resist round numbers. Doubling a recipe that calls for 3\u002F4 cup of sugar means 3\u002F4 × 2\u002F1 = 3\u002F2, so 1 1\u002F2 cups. Halving a 5\u002F8 inch board allowance gives 5\u002F16. Splitting two thirds of a pizza between four people is 2\u002F3 ÷ 4\u002F1 = 1\u002F6 each. Typing these straight in beats converting to decimals and back.\u003C\u002Fp>\n\u003Ch2 id=\"limits-and-errors\">What are the limits and error cases?\u003C\u002Fh2>\n\u003Cp>Numerators and denominators take whole numbers from \u003Cstrong>-9999 to 9999\u003C\u002Fstrong>, plenty for schoolwork, cooking and carpentry. A denominator of zero is rejected with a clear message, and so is dividing by a fraction equal to zero, since both are undefined.\u003C\u002Fp>","2026-07-17T11:47:15.309Z","2026-07-17T12:53:15.655Z","2026-07-17T12:53:16.690Z","en","Fraction Calculator",[17,21,25,29,33],{"id":18,"question":19,"answer":20},659,"How do I add two fractions with different denominators?","\u003Cp>Multiply each numerator by the other denominator, add the two products, and put the sum over the product of the denominators. For 1\u002F2 + 1\u002F3: (1 × 3 + 1 × 2) ÷ (2 × 3) = 5\u002F6. The calculator shows this simplified result instantly.\u003C\u002Fp>",{"id":22,"question":23,"answer":24},660,"How can I just simplify a fraction?","\u003Cp>Divide your fraction by 1\u002F1. Enter 42 over 56, pick divide, and keep 1 over 1 as the second fraction: the result is 3\u002F4, the fully reduced form of 42\u002F56, obtained by dividing both parts by their GCD of 14.\u003C\u002Fp>",{"id":26,"question":27,"answer":28},661,"What is a mixed number?","\u003Cp>A mixed number writes an improper fraction as a whole part plus a smaller fraction. 7\u002F6 becomes 1 1\u002F6, and -7\u002F2 becomes -3 1\u002F2. The calculator shows the mixed form automatically whenever the numerator is larger than the denominator.\u003C\u002Fp>",{"id":30,"question":31,"answer":32},662,"Why is the fraction result better than the decimal?","\u003Cp>Because the fraction is exact. 1\u002F3 as a decimal is 0.333333 with an infinite tail that has to be cut somewhere, and errors pile up when you keep computing with the cut version. The calculator does all its math on whole numbers and only rounds the displayed decimal.\u003C\u002Fp>",{"id":34,"question":35,"answer":36},663,"Does the calculator handle negative fractions?","\u003Cp>Yes. You can put a minus sign on any numerator or denominator. The result is normalized so the denominator stays positive: 1\u002F-2 + 0\u002F1 is displayed as -1\u002F2, and mixed forms keep the sign on the whole part, like -3 1\u002F2.\u003C\u002Fp>",[],{"id":39,"documentId":40,"uid":41,"name":42,"tagline":43,"hubContent":44,"createdAt":45,"updatedAt":45,"publishedAt":46,"locale":14},15,"s8cujbpmiszotf6zdbotc2p0","math","Math","Calculators for school, work and everyday numbers","\u003Cp>Every calculator in this category computes live as you type and shows the formula behind the result. Grades, percentages, fractions, ratios or volumes: you see the answer and the reasoning, so you can trust the number you copy. Each tool also documents its edge cases, because a calculator you cannot verify is just a guess with confidence.\u003C\u002Fp>","2026-07-17T11:46:54.883Z","2026-07-17T12:01:48.544Z",{"id":48,"metaTitle":49,"metaDescription":50,"keywords":51,"metaRobots":51,"structuredData":51,"metaViewport":51,"canonicalURL":51},157,"Fraction Calculator: Add, Subtract, Simplify","Free fraction calculator: add, subtract, multiply and divide fractions. Exact simplified result, mixed number form and decimal, as you type.",null,[53],{"id":54,"documentId":6,"slug":7,"intro":55,"howTo":56,"longContent":57,"createdAt":58,"updatedAt":59,"publishedAt":60,"locale":61,"name":62},176,"\u003Cp>Cette \u003Cstrong>calculatrice de fraction\u003C\u002Fstrong> additionne, soustrait, multiplie et divise deux fractions et renvoie toujours le résultat simplifié exact. Vous obtenez aussi la \u003Cstrong>forme mixte\u003C\u002Fstrong> quand la fraction dépasse un, plus la valeur décimale, le tout mis à jour pendant la saisie.\u003C\u002Fp>","\u003Col>\u003Cli>Saisissez le numérateur et le dénominateur de chaque fraction dans les champs superposés.\u003C\u002Fli>\u003Cli>Choisissez l'opération : addition, soustraction, multiplication ou division.\u003C\u002Fli>\u003Cli>Lisez la fraction simplifiée, la forme mixte et le décimal, mis à jour en direct.\u003C\u002Fli>\u003Cli>Copiez ou téléchargez le résultat avec les boutons sous l'outil.\u003C\u002Fli>\u003C\u002Fol>","\u003Ch2 id=\"comment-fonctionne-le-calcul-de-fraction\">Comment fonctionne le calcul de fraction ?\u003C\u002Fh2>\n\u003Cp>La calculatrice travaille en arithmétique entière exacte, jamais sur des décimaux arrondis. Elle calcule le résultat brut de l'opération, puis le réduit avec le \u003Cstrong>plus grand commun diviseur\u003C\u002Fstrong> (PGCD) : 42\u002F56 revient donc toujours en 3\u002F4, pas en 0,75 avec un arrondi caché. La valeur décimale accompagne le résultat à titre indicatif et reste en dehors du calcul.\u003C\u002Fp>\n\u003Ch3 id=\"les-quatre-operations\">Les quatre opérations\u003C\u002Fh3>\n\u003Ctable>\u003Cthead>\u003Ctr>\u003Cth>Opération\u003C\u002Fth>\u003Cth>Règle\u003C\u002Fth>\u003Cth>Exemple\u003C\u002Fth>\u003C\u002Ftr>\u003C\u002Fthead>\u003Ctbody>\n\u003Ctr>\u003Ctd>Addition\u003C\u002Ftd>\u003Ctd>a\u002Fb + c\u002Fd = (ad + cb) ÷ bd\u003C\u002Ftd>\u003Ctd>1\u002F2 + 1\u002F3 = 5\u002F6\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>Soustraction\u003C\u002Ftd>\u003Ctd>a\u002Fb - c\u002Fd = (ad - cb) ÷ bd\u003C\u002Ftd>\u003Ctd>1\u002F2 - 1\u002F3 = 1\u002F6\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>Multiplication\u003C\u002Ftd>\u003Ctd>a\u002Fb × c\u002Fd = ac ÷ bd\u003C\u002Ftd>\u003Ctd>3\u002F4 × 2\u002F5 = 3\u002F10\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>Division\u003C\u002Ftd>\u003Ctd>a\u002Fb ÷ c\u002Fd = ad ÷ bc\u003C\u002Ftd>\u003Ctd>1\u002F2 ÷ 1\u002F4 = 2\u003C\u002Ftd>\u003C\u002Ftr>\n\u003C\u002Ftbody>\u003C\u002Ftable>\n\u003Ch2 id=\"additionner-des-fractions-pas-a-pas\">Comment additionner deux fractions pas à pas ?\u003C\u002Fh2>\n\u003Cp>Additionner 1\u002F2 et 1\u002F3 à la main réclame un \u003Cstrong>dénominateur commun\u003C\u002Fstrong>. Multipliez chaque numérateur par l'autre dénominateur : 1 × 3 = 3 et 1 × 2 = 2, puis placez la somme sur le produit des dénominateurs : (3 + 2) ÷ 6 = \u003Cstrong>5\u002F6\u003C\u002Fstrong>. La calculatrice fait exactement cela, puis vérifie si le résultat se réduit. Ici 5 et 6 n'ont aucun facteur commun, 5\u002F6 est donc définitif.\u003C\u002Fp>\n\u003Ch2 id=\"simplifier-une-fraction\">Comment simplifier une fraction avec le PGCD ?\u003C\u002Fh2>\n\u003Cp>La simplification divise le numérateur et le dénominateur par leur plus grand commun diviseur. Pour 42\u002F56, le PGCD de 42 et 56 vaut \u003Cstrong>14\u003C\u002Fstrong>, donc 42\u002F56 = 3\u002F4. Pour utiliser l'outil comme simple simplificateur de fraction, \u003Cstrong>divisez votre fraction par 1\u002F1\u003C\u002Fstrong> : vous récupérez la même fraction, entièrement réduite. Le signe est toujours porté par le numérateur : 1\u002F-2 s'affiche -1\u002F2.\u003C\u002Fp>\n\u003Ch2 id=\"formes-mixtes-et-decimaux\">Que sont les formes mixte et décimale ?\u003C\u002Fh2>\n\u003Cp>Quand le résultat est une \u003Cstrong>fraction impropre\u003C\u002Fstrong> comme 7\u002F6, la calculatrice affiche aussi le nombre mixte 1 1\u002F6 : un entier plus 1\u002F6. C'est la forme des recettes et des mesures, 1 tasse et demie plutôt que 3\u002F2 tasses. La valeur décimale arrive en dernier, arrondie à 6 décimales au maximum pour l'affichage seulement : 5\u002F6 s'écrit 0,833333 alors que le calcul interne reste exact.\u003C\u002Fp>\n\u003Ch2 id=\"usages-du-quotidien\">Où croise-t-on des fractions au quotidien ?\u003C\u002Fh2>\n\u003Cp>Les fractions apparaissent partout où les mesures refusent les nombres ronds. Doubler une recette qui demande 3\u002F4 de tasse de sucre revient à 3\u002F4 × 2\u002F1 = 3\u002F2, soit 1 tasse et demie. Partager les deux tiers d'une pizza entre quatre personnes donne 2\u002F3 ÷ 4\u002F1 = 1\u002F6 chacun. Saisir ces fractions directement évite les allers-retours entre décimaux et fractions.\u003C\u002Fp>\n\u003Ch2 id=\"bornes-et-erreurs\">Quelles sont les bornes et les cas d'erreur ?\u003C\u002Fh2>\n\u003Cp>Les numérateurs et dénominateurs acceptent des entiers de \u003Cstrong>-9999 à 9999\u003C\u002Fstrong>, largement assez pour l'école, la cuisine ou le bricolage. Un dénominateur nul est refusé avec un message clair, tout comme la division par une fraction égale à zéro : les deux opérations n'ont pas de sens mathématique.\u003C\u002Fp>","2026-07-17T11:47:16.118Z","2026-07-17T12:55:11.312Z","2026-07-17T12:55:12.436Z","fr","Calculatrice de fractions",{"slugs":64},[65,66,67,68,69,70,71,72,7,73,74,75,76,77,78,79,80,81,82,83,84],"age-calculator","average-calculator","cd-calculator","concrete-calculator","cursive-font-generator","date-calculator","fantasy-name-generator","final-grade-calculator","glitch-text-generator","gpa-calculator","grade-calculator","hex-converter","hours-calculator","interest-calculator","military-time-converter","roman-numeral-converter","password-generator","kg-to-lbs-converter","binary-converter","celsius-to-fahrenheit-converter"]