{"id":9663,"date":"2026-10-19T21:38:40","date_gmt":"2026-10-20T00:38:40","guid":{"rendered":"https:\/\/simcalculo.com\/pt-br\/fraction-calculator\/"},"modified":"2026-10-19T21:38:40","modified_gmt":"2026-10-20T00:38:40","slug":"fraction-calculator","status":"publish","type":"page","link":"https:\/\/simcalculo.com\/en\/fraction-calculator\/","title":{"rendered":"Fraction Calculator"},"content":{"rendered":"<section data-simcalculo-tool=\"calculadora-de-fracoes\" class=\"simcalculo-tool sc-fractions\" data-fractions data-language=\"en\" data-messages=\"{&quot;locale&quot;:&quot;en-US&quot;,&quot;label&quot;:&quot;Fraction calculator&quot;,&quot;title&quot;:&quot;Calculate fractions with steps&quot;,&quot;intro&quot;:&quot;Add, subtract, multiply or divide two fractions. See the simplified result first, followed by the calculation steps.&quot;,&quot;first&quot;:&quot;First fraction&quot;,&quot;second&quot;:&quot;Second fraction&quot;,&quot;whole&quot;:&quot;Whole-number part (optional)&quot;,&quot;numerator&quot;:&quot;Numerator&quot;,&quot;denominator&quot;:&quot;Denominator&quot;,&quot;examplePrefix&quot;:&quot;e.g. &quot;,&quot;invertFirst&quot;:&quot;Find reciprocal of first fraction&quot;,&quot;invertSecond&quot;:&quot;Find reciprocal of second fraction&quot;,&quot;signFirst&quot;:&quot;Change sign of first fraction&quot;,&quot;signSecond&quot;:&quot;Change sign of second fraction&quot;,&quot;sign&quot;:&quot;Change sign (+\\\/\\u2212)&quot;,&quot;help&quot;:&quot;Enter integers only, without separators. For negative two and one-third, enter \\u22122 as the whole-number part, 1 as the numerator and 3 as the denominator. The negative sign applies to the entire mixed number.&quot;,&quot;operation&quot;:&quot;Operation&quot;,&quot;add&quot;:&quot;Add (+)&quot;,&quot;subtract&quot;:&quot;Subtract (\\u2212)&quot;,&quot;multiply&quot;:&quot;Multiply (\\u00d7)&quot;,&quot;divide&quot;:&quot;Divide (\\u00f7)&quot;,&quot;calculate&quot;:&quot;Calculate fractions&quot;,&quot;example&quot;:&quot;Use example&quot;,&quot;clear&quot;:&quot;Clear&quot;,&quot;result&quot;:&quot;Result&quot;,&quot;simplified&quot;:&quot;Simplified result&quot;,&quot;steps&quot;:&quot;Calculation steps&quot;,&quot;copy&quot;:&quot;Copy result and steps&quot;,&quot;history&quot;:&quot;Recent calculations on this page&quot;,&quot;historyNote&quot;:&quot;History is temporary and disappears when you reload this page.&quot;,&quot;mixed&quot;:&quot;Mixed number&quot;,&quot;integerResult&quot;:&quot;Whole-number result: &quot;,&quot;proper&quot;:&quot;Proper fraction: there is no nonzero whole-number part.&quot;,&quot;decimal&quot;:&quot;Decimal&quot;,&quot;approximate&quot;:&quot; (approximation)&quot;,&quot;exact&quot;:&quot; (exact)&quot;,&quot;equivalent&quot;:&quot;Are the entered fractions equivalent?&quot;,&quot;yes&quot;:&quot;Yes, they represent the same value.&quot;,&quot;no&quot;:&quot;No, they represent different values.&quot;,&quot;complete&quot;:&quot;Calculation complete.&quot;,&quot;cleared&quot;:&quot;Fields cleared.&quot;,&quot;exampleLoaded&quot;:&quot;Example loaded: 2\\\/5 + 1\\\/3.&quot;,&quot;zeroInverse&quot;:&quot;Zero has no reciprocal.&quot;,&quot;inverted&quot;:&quot;Fraction inverted. Calculate to update the result.&quot;,&quot;fillFirst&quot;:&quot;Enter the fraction before changing its sign.&quot;,&quot;signChanged&quot;:&quot;Sign changed. Calculate to update the result.&quot;,&quot;copyApprox&quot;:&quot; approximate&quot;,&quot;copyExact&quot;:&quot; exact&quot;,&quot;copied&quot;:&quot;Result and steps copied.&quot;,&quot;copyFallback&quot;:&quot;Select the result text to copy it.&quot;}\" lang=\"en-US\" aria-label=\"Fraction calculator\">\r\n<h2>Calculate fractions with steps<\/h2><p>Add, subtract, multiply or divide two fractions. See the simplified result first, followed by the calculation steps.<\/p>\r\n<form novalidate><div class=\"scf-inputs\"><fieldset><legend>First fraction<\/legend><label>Whole-number part (optional)<input type=\"text\" inputmode=\"numeric\" name=\"firstWhole\" placeholder=\"e.g. 2\" autocomplete=\"off\" maxlength=\"19\"><\/label><div class=\"scf-pair\"><label>Numerator<input type=\"text\" inputmode=\"numeric\" name=\"firstNumerator\" placeholder=\"e.g. 1\" autocomplete=\"off\" maxlength=\"19\" required><\/label><span class=\"scf-divider\" aria-hidden=\"true\"><\/span><label>Denominator<input type=\"text\" inputmode=\"numeric\" name=\"firstDenominator\" placeholder=\"e.g. 3\" autocomplete=\"off\" maxlength=\"19\" required><\/label><\/div><button type=\"button\" data-invert=\"first\">Find reciprocal of first fraction<\/button> <button type=\"button\" data-sign=\"first\" aria-label=\"Change sign of first fraction\">Change sign (+\/\u2212)<\/button><\/fieldset><fieldset><legend>Second fraction<\/legend><label>Whole-number part (optional)<input type=\"text\" inputmode=\"numeric\" name=\"secondWhole\" placeholder=\"e.g. 2\" autocomplete=\"off\" maxlength=\"19\"><\/label><div class=\"scf-pair\"><label>Numerator<input type=\"text\" inputmode=\"numeric\" name=\"secondNumerator\" placeholder=\"e.g. 1\" autocomplete=\"off\" maxlength=\"19\" required><\/label><span class=\"scf-divider\" aria-hidden=\"true\"><\/span><label>Denominator<input type=\"text\" inputmode=\"numeric\" name=\"secondDenominator\" placeholder=\"e.g. 3\" autocomplete=\"off\" maxlength=\"19\" required><\/label><\/div><button type=\"button\" data-invert=\"second\">Find reciprocal of second fraction<\/button> <button type=\"button\" data-sign=\"second\" aria-label=\"Change sign of second fraction\">Change sign (+\/\u2212)<\/button><\/fieldset><\/div>\r\n<p class=\"scf-help\">Enter integers only, without separators. For negative two and one-third, enter \u22122 as the whole-number part, 1 as the numerator and 3 as the denominator. The negative sign applies to the entire mixed number.<\/p><label>Operation<select name=\"operation\"><option value=\"+\">Add (+)<\/option><option value=\"-\">Subtract (\u2212)<\/option><option value=\"*\">Multiply (\u00d7)<\/option><option value=\"\/\">Divide (\u00f7)<\/option><\/select><\/label><div class=\"scf-actions\"><button type=\"submit\">Calculate fractions<\/button><button type=\"button\" data-example>Use example<\/button><button type=\"reset\">Clear<\/button><\/div><\/form>\r\n<p role=\"status\" aria-live=\"polite\" data-status><\/p><section data-result hidden aria-label=\"Result\"><div class=\"scf-answer\"><h3>Simplified result<\/h3><strong data-fraction><\/strong><p data-expression><\/p><\/div><dl data-details><\/dl><h3>Calculation steps<\/h3><ol data-steps><\/ol><button type=\"button\" data-copy>Copy result and steps<\/button><\/section><details class=\"scf-history\" data-history hidden><summary>Recent calculations on this page<\/summary><p>History is temporary and disappears when you reload this page.<\/p><ol data-history-list><\/ol><\/details><\/section>\r\n\n\n<div class=\"en-editorial\">\n<h2>How to use the fraction calculator<\/h2>\n<p>Enter the numerator and denominator for each fraction, choose an operation and select Calculate fractions. Leave the optional whole-number fields blank for ordinary fractions. Each field accepts an integer of up to 18 digits, with an optional minus sign and no decimal point or thousands separators.<\/p>\n<p>The simplified fraction is the exact answer. The calculator also shows a mixed-number form when there is a nonzero whole-number part and a remainder, plus a decimal representation. Use Copy result and steps to copy the explanation, or Use example to try 2\/5 + 1\/3 = 11\/15.<\/p>\n<h2>Add or subtract fractions<\/h2>\n<p>Use a common denominator before combining the numerators. For 2\/5 + 1\/3, a common denominator is 15. Rewrite the fractions as 6\/15 and 5\/15, then add the numerators to obtain 11\/15. Subtraction follows the same process with subtraction in the numerator.<\/p>\n<h2>Multiply or divide fractions<\/h2>\n<p>To multiply, multiply the numerators and multiply the denominators, then simplify. For example, 4\/10 \u00d7 5\/7 = 20\/70 = 2\/7.<\/p>\n<p>To divide, multiply the first fraction by the reciprocal of the second. For example, 1\/2 \u00f7 3\/4 = 1\/2 \u00d7 4\/3 = 2\/3. The second fraction must have a nonzero value, because division by zero is undefined. See <a href=\"https:\/\/openstax.org\/books\/prealgebra-2e\/pages\/4-2-multiply-and-divide-fractions\" target=\"_blank\" rel=\"noopener\">OpenStax\u2019s explanation of fraction multiplication and division<\/a>.<\/p>\n<h2>Mixed numbers and negative signs<\/h2>\n<p>A mixed number combines a whole number and a fraction. Enter 2, 1 and 3 in the first fraction\u2019s fields to represent 2 + 1\/3. To represent its negative, enter \u22122, 1 and 3. The calculator interprets that as \u2212(2 + 1\/3) = \u22127\/3, rather than \u22122 + 1\/3.<\/p>\n<p>When the whole-number part is nonzero, put the sign there and enter a nonnegative numerator and positive denominator. For a negative proper fraction such as \u22121\/3, leave the whole-number field blank and put the minus sign on the numerator. An ordinary negative denominator is normalized to a positive denominator.<\/p>\n<h2>Simplification, equivalence and decimals<\/h2>\n<p>The calculator divides the result\u2019s numerator and denominator by their greatest common divisor (GCD, also called greatest common factor). The equivalence check compares the two original entered values; it is separate from the answer to the selected operation.<\/p>\n<p>Terminating decimals are labeled exact. Repeating or longer decimals are truncated after 12 decimal places and labeled as approximations with an ellipsis. For example, 1\/3 is displayed as 0.333333333333\u2026; the exact result remains 1\/3. This decimal is truncated, not rounded.<\/p>\n<h2>Privacy and language<\/h2>\n<p>Calculations run in your browser with integer arithmetic. The temporary history keeps up to eight calculations in memory for this page and disappears when you reload. The calculator does not submit the entered fractions to our server or save the history in browser storage.<\/p>\n<p>The <a href=\"https:\/\/simcalculo.com\/pt-br\/calculadora-de-fracoes-online\/\">Portuguese fraction calculator<\/a> uses the same arithmetic code. English uses a decimal point; Portuguese uses a decimal comma. Switching language opens the equivalent page without transferring your entries.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>How to use the fraction calculator Enter the numerator and denominator for each fraction, choose an operation and select Calculate fractions. Leave the optional&hellip;<\/p>\n","protected":false},"author":0,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-9663","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/simcalculo.com\/pt-br\/wp-json\/wp\/v2\/pages\/9663","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/simcalculo.com\/pt-br\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/simcalculo.com\/pt-br\/wp-json\/wp\/v2\/types\/page"}],"replies":[{"embeddable":true,"href":"https:\/\/simcalculo.com\/pt-br\/wp-json\/wp\/v2\/comments?post=9663"}],"version-history":[{"count":0,"href":"https:\/\/simcalculo.com\/pt-br\/wp-json\/wp\/v2\/pages\/9663\/revisions"}],"wp:attachment":[{"href":"https:\/\/simcalculo.com\/pt-br\/wp-json\/wp\/v2\/media?parent=9663"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}