{"id":23,"date":"2025-07-21T21:16:11","date_gmt":"2025-07-21T19:16:11","guid":{"rendered":"https:\/\/xn--szmolgp-iwa0f0e.hu\/?page_id=23"},"modified":"2025-07-21T21:16:11","modified_gmt":"2025-07-21T19:16:11","slug":"tort-kalkulator-tortszamitasok-es-algebrai-muveletek","status":"publish","type":"page","link":"https:\/\/xn--szmolgp-iwa0f0e.hu\/pl\/tort-kalkulator-tortszamitasok-es-algebrai-muveletek\/","title":{"rendered":"T\u00f6rt Kalkul\u00e1tor &#8211; T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek"},"content":{"rendered":"<h1 class=\"wp-block-heading has-text-align-center\" style=\"margin-bottom:2rem\">T\u00f6rt Kalkul\u00e1tor &#8211; T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek<\/h1>\n<p class=\"has-text-align-center\" style=\"margin-bottom:3rem\">Professzion\u00e1lis t\u00f6rt kalkul\u00e1tor t\u00f6rtsz\u00e1m\u00edt\u00e1sokhoz, algebrai m\u0171veletekhez, egyszer\u0171s\u00edt\u00e9shez \u00e9s t\u00f6rtek konvert\u00e1l\u00e1s\u00e1hoz. T\u00f6k\u00e9letes v\u00e1laszt\u00e1s di\u00e1koknak, tan\u00e1roknak \u00e9s matematikusoknak.<\/p>\n<div class=\"tort-kalkulator-container\" data-theme=\"light\" \n             style=\"--calculator-width: 100%; --calculator-height: auto;\"><\/p>\n<div class=\"calculator\">\n<h2>T\u00f6rt Kalkul\u00e1tor<\/h2>\n<p class=\"calculator-description\">T\u00f6rtsz\u00e1m\u00edt\u00e1sok, algebrai m\u0171veletek, egyszer\u0171s\u00edt\u00e9s \u00e9s t\u00f6rtek konvert\u00e1l\u00e1sa<\/p>\n<div class=\"input-section\">\n<div class=\"calculation-type\">\n<h3>Sz\u00e1m\u00edt\u00e1si t\u00edpus<\/h3>\n<div class=\"type-buttons\">\n                            <button type=\"button\" class=\"type-btn active\" data-type=\"basic\">Alapm\u0171veletek<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"simplify\">Egyszer\u0171s\u00edt\u00e9s<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"convert\">Konvert\u00e1l\u00e1s<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"compare\">\u00d6sszehasonl\u00edt\u00e1s<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"mixed\">Vegyes sz\u00e1mok<\/button>\n                        <\/div>\n<\/p><\/div>\n<div class=\"fraction-inputs\" id=\"basic-inputs\">\n<div class=\"fraction-group\">\n<h4>Els\u0151 t\u00f6rt<\/h4>\n<div class=\"fraction-input\">\n                                <input type=\"number\" id=\"numerator1\" placeholder=\"3\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                <input type=\"number\" id=\"denominator1\" placeholder=\"4\" required>\n                            <\/div>\n<\/p><\/div>\n<div class=\"operation-selector\">\n                            <select id=\"operation\"><option value=\"add\">\u00d6sszead\u00e1s (+)<\/option><option value=\"subtract\">Kivon\u00e1s (-)<\/option><option value=\"multiply\">Szorz\u00e1s (\u00d7)<\/option><option value=\"divide\">Oszt\u00e1s (\u00f7)<\/option><\/select>\n                        <\/div>\n<div class=\"fraction-group\">\n<h4>M\u00e1sodik t\u00f6rt<\/h4>\n<div class=\"fraction-input\">\n                                <input type=\"number\" id=\"numerator2\" placeholder=\"1\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                <input type=\"number\" id=\"denominator2\" placeholder=\"2\" required>\n                            <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fraction-inputs\" id=\"simplify-inputs\" style=\"display: none;\">\n<div class=\"fraction-group\">\n<h4>T\u00f6rt egyszer\u0171s\u00edt\u00e9se<\/h4>\n<div class=\"fraction-input\">\n                                <input type=\"number\" id=\"simplify-numerator\" placeholder=\"12\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                <input type=\"number\" id=\"simplify-denominator\" placeholder=\"18\" required>\n                            <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fraction-inputs\" id=\"convert-inputs\" style=\"display: none;\">\n<div class=\"fraction-group\">\n<h4>T\u00f6rt konvert\u00e1l\u00e1sa<\/h4>\n<div class=\"fraction-input\">\n                                <input type=\"number\" id=\"convert-numerator\" placeholder=\"7\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                <input type=\"number\" id=\"convert-denominator\" placeholder=\"3\" required>\n                            <\/div>\n<\/p><\/div>\n<div class=\"convert-type\">\n                            <label><br \/>\n                                <input type=\"radio\" name=\"convert-type\" value=\"decimal\" checked> Tizedes t\u00f6rt<br \/>\n                            <\/label><br \/>\n                            <label><br \/>\n                                <input type=\"radio\" name=\"convert-type\" value=\"percentage\"> Sz\u00e1zal\u00e9k<br \/>\n                            <\/label><br \/>\n                            <label><br \/>\n                                <input type=\"radio\" name=\"convert-type\" value=\"mixed\"> Vegyes sz\u00e1m<br \/>\n                            <\/label>\n                        <\/div>\n<\/p><\/div>\n<div class=\"fraction-inputs\" id=\"compare-inputs\" style=\"display: none;\">\n<div class=\"fraction-group\">\n<h4>Els\u0151 t\u00f6rt<\/h4>\n<div class=\"fraction-input\">\n                                <input type=\"number\" id=\"compare-numerator1\" placeholder=\"2\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                <input type=\"number\" id=\"compare-denominator1\" placeholder=\"3\" required>\n                            <\/div>\n<\/p><\/div>\n<div class=\"fraction-group\">\n<h4>M\u00e1sodik t\u00f6rt<\/h4>\n<div class=\"fraction-input\">\n                                <input type=\"number\" id=\"compare-numerator2\" placeholder=\"3\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                <input type=\"number\" id=\"compare-denominator2\" placeholder=\"4\" required>\n                            <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fraction-inputs\" id=\"mixed-inputs\" style=\"display: none;\">\n<div class=\"fraction-group\">\n<h4>Vegyes sz\u00e1m<\/h4>\n<div class=\"mixed-input\">\n                                <input type=\"number\" id=\"mixed-whole\" placeholder=\"2\" required><\/p>\n<div class=\"mixed-separator\">+<\/div>\n<div class=\"fraction-input\">\n                                    <input type=\"number\" id=\"mixed-numerator\" placeholder=\"3\" required><\/p>\n<div class=\"fraction-line\"><\/div>\n<p>                                    <input type=\"number\" id=\"mixed-denominator\" placeholder=\"4\" required>\n                                <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"mixed-convert-type\">\n                            <label><br \/>\n                                <input type=\"radio\" name=\"mixed-convert\" value=\"improper\" checked> \u00c1tv\u00e1lt\u00e1s t\u00f6rtt\u00e9<br \/>\n                            <\/label><br \/>\n                            <label><br \/>\n                                <input type=\"radio\" name=\"mixed-convert\" value=\"decimal\"> Tizedes t\u00f6rt<br \/>\n                            <\/label>\n                        <\/div>\n<\/p><\/div>\n<div class=\"input-group\" id=\"precision-group\">\n                        <label for=\"precision\">Pontoss\u00e1g<\/label><br \/>\n                        <select id=\"precision\"><option value=\"2\">2 tizedesjegy<\/option><option value=\"4\" selected>4 tizedesjegy<\/option><option value=\"6\">6 tizedesjegy<\/option><option value=\"8\">8 tizedesjegy<\/option><\/select><br \/>\n                        <span class=\"input-hint\">Eredm\u00e9ny pontoss\u00e1ga<\/span>\n                    <\/div>\n<p>                    <button type=\"button\" id=\"calculate-fraction\" class=\"calculate-btn\">Sz\u00e1m\u00edt\u00e1s<\/button>\n                <\/div>\n<div class=\"result-section\" id=\"result-section\" style=\"display: none;\">\n<div class=\"result-header\">\n<h3>Eredm\u00e9ny<\/h3>\n<\/p><\/div>\n<div class=\"result-content\">\n<div class=\"calculation-display\">\n                            <span id=\"calculation-formula\">3\/4 + 1\/2 = 5\/4<\/span>\n                        <\/div>\n<div class=\"result-value\">\n                            <span class=\"result-number\" id=\"result-value\">5\/4<\/span>\n                        <\/div>\n<div class=\"result-details\" id=\"result-details\">\n<h4>R\u00e9szletes inform\u00e1ci\u00f3k<\/h4>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Sz\u00e1m\u00edt\u00e1si t\u00edpus:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"calculation-type-used\">&#8211;<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">M\u0171velet:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"operation-used\">&#8211;<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Egyszer\u0171s\u00edtett forma:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"simplified-form\">&#8211;<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Tizedes \u00e9rt\u00e9k:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"decimal-value\">&#8211;<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Sz\u00e1zal\u00e9k:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"percentage-value\">&#8211;<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Pontoss\u00e1g:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"precision-used\">&#8211;<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Sz\u00e1m\u00edt\u00e1si id\u0151:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"calculation-time\">&#8211;<\/span>\n                            <\/div>\n<\/p><\/div>\n<div class=\"calculation-history\" id=\"calculation-history\">\n<h4>Sz\u00e1m\u00edt\u00e1si el\u0151zm\u00e9nyek<\/h4>\n<div class=\"history-list\" id=\"history-list\">\n                                <!-- Dinamikusan t\u00f6lt\u0151dik be -->\n                            <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"calculator-info\">\n<h4>Sz\u00e1m\u00edt\u00e1si t\u00edpusok<\/h4>\n<div class=\"types-grid\">\n<div class=\"type-category\">\n<h5>Alapm\u0171veletek<\/h5>\n<p>\u00d6sszead\u00e1s, kivon\u00e1s, szorz\u00e1s, oszt\u00e1s<\/p>\n<p><strong>P\u00e9lda:<\/strong> 3\/4 + 1\/2 = 5\/4<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>Egyszer\u0171s\u00edt\u00e9s<\/h5>\n<p>T\u00f6rt egyszer\u0171s\u00edt\u00e9se legkisebb k\u00f6z\u00f6s nevez\u0151re<\/p>\n<p><strong>P\u00e9lda:<\/strong> 12\/18 = 2\/3<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>Konvert\u00e1l\u00e1s<\/h5>\n<p>T\u00f6rt \u00e1tv\u00e1lt\u00e1sa tizedes t\u00f6rtre, sz\u00e1zal\u00e9kra<\/p>\n<p><strong>P\u00e9lda:<\/strong> 3\/4 = 0.75 = 75%<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>\u00d6sszehasonl\u00edt\u00e1s<\/h5>\n<p>K\u00e9t t\u00f6rt \u00f6sszehasonl\u00edt\u00e1sa<\/p>\n<p><strong>P\u00e9lda:<\/strong> 2\/3 < 3\/4<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>Vegyes sz\u00e1mok<\/h5>\n<p>Vegyes sz\u00e1mok \u00e1tv\u00e1lt\u00e1sa t\u00f6rtt\u00e9<\/p>\n<p><strong>P\u00e9lda:<\/strong> 2 3\/4 = 11\/4<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<h4>Haszn\u00e1lati \u00fatmutat\u00f3<\/h4>\n<ol>\n<li>V\u00e1lassza ki a sz\u00e1m\u00edt\u00e1si t\u00edpust<\/li>\n<li>Adja meg a t\u00f6rteket<\/li>\n<li>V\u00e1lassza ki a m\u0171veletet (ha sz\u00fcks\u00e9ges)<\/li>\n<li>\u00c1ll\u00edtsa be a k\u00edv\u00e1nt pontoss\u00e1got<\/li>\n<li>Kattintson a &#8222;Sz\u00e1m\u00edt\u00e1s&#8221; gombra<\/li>\n<li>Az eredm\u00e9ny azonnal megjelenik<\/li>\n<\/ol>\n<div class=\"examples\">\n<h4>Gyakorlati p\u00e9ld\u00e1k<\/h4>\n<div class=\"example-item\">\n                            <strong>\u00d6sszead\u00e1s:<\/strong> 3\/4 + 1\/2 = 5\/4\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>Szorz\u00e1s:<\/strong> 2\/3 \u00d7 3\/4 = 1\/2\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>Egyszer\u0171s\u00edt\u00e9s:<\/strong> 12\/18 = 2\/3\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>Konvert\u00e1l\u00e1s:<\/strong> 3\/4 = 0.75\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>Vegyes sz\u00e1m:<\/strong> 2 3\/4 = 11\/4\n                        <\/div>\n<\/p><\/div>\n<div class=\"disclaimer\">\n<p><strong>Fontos:<\/strong> A nevez\u0151 nem lehet nulla. A kalkul\u00e1tor automatikusan egyszer\u0171s\u00edti az eredm\u00e9nyt. Vegyes sz\u00e1mok eset\u00e9n a teljes sz\u00e1m \u00e9s a t\u00f6rt r\u00e9sz k\u00fcl\u00f6n kezelend\u0151.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<p>        <script type=\"text\/javascript\">\n        \/\/ Gyors inicializ\u00e1l\u00e1s, ha a DOM m\u00e1r bet\u00f6lt\u00f6tt\n        if (document.readyState === 'loading') {\n            document.addEventListener('DOMContentLoaded', function() {\n                if (typeof TortCalculator !== 'undefined') {\n                    new TortCalculator();\n                }\n            });\n        } else {\n            if (typeof TortCalculator !== 'undefined') {\n                new TortCalculator();\n            }\n        }\n        <\/script><\/p>\n<h2 class=\"wp-block-heading\">T\u00f6rt Kalkul\u00e1tor &#8211; Professzion\u00e1lis T\u00f6rtsz\u00e1m\u00edt\u00e1sok<\/h2>\n<p>A t\u00f6rt kalkul\u00e1tor egy professzion\u00e1lis online eszk\u00f6z, amely lehet\u0151v\u00e9 teszi a t\u00f6rtsz\u00e1m\u00edt\u00e1sok gyors \u00e9s pontos elv\u00e9gz\u00e9s\u00e9t. T\u00f6k\u00e9letes v\u00e1laszt\u00e1s di\u00e1koknak, tan\u00e1roknak, matematikusoknak \u00e9s mindenki sz\u00e1m\u00e1ra, akinek t\u00f6rtsz\u00e1m\u00edt\u00e1sokat kell v\u00e9geznie.<\/p>\n<h3 class=\"wp-block-heading\">Milyen t\u00f6rt sz\u00e1m\u00edt\u00e1sokat v\u00e9gezhet el?<\/h3>\n<h4 class=\"wp-block-heading\">Alapvet\u0151 t\u00f6rt m\u0171veletek<\/h4>\n<ul class=\"wp-block-list\">\n<li><strong>\u00d6sszead\u00e1s:<\/strong> K\u00e9t t\u00f6rt \u00f6sszead\u00e1sa<\/li>\n<li><strong>Kivon\u00e1s:<\/strong> K\u00e9t t\u00f6rt kivon\u00e1sa<\/li>\n<li><strong>Szorz\u00e1s:<\/strong> K\u00e9t t\u00f6rt szorz\u00e1sa<\/li>\n<li><strong>Oszt\u00e1s:<\/strong> K\u00e9t t\u00f6rt oszt\u00e1sa<\/li>\n<li><strong>Egyszer\u0171s\u00edt\u00e9s:<\/strong> T\u00f6rt egyszer\u0171s\u00edt\u00e9se<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">Speci\u00e1lis t\u00f6rt m\u0171veletek<\/h4>\n<ul class=\"wp-block-list\">\n<li><strong>Konvert\u00e1l\u00e1s:<\/strong> T\u00f6rt \u00e1tv\u00e1lt\u00e1sa tizedes t\u00f6rtre<\/li>\n<li><strong>Sz\u00e1zal\u00e9k:<\/strong> T\u00f6rt \u00e1tv\u00e1lt\u00e1sa sz\u00e1zal\u00e9kra<\/li>\n<li><strong>Vegyes sz\u00e1mok:<\/strong> Vegyes sz\u00e1mok \u00e1tv\u00e1lt\u00e1sa t\u00f6rtt\u00e9<\/li>\n<li><strong>\u00d6sszehasonl\u00edt\u00e1s:<\/strong> K\u00e9t t\u00f6rt \u00f6sszehasonl\u00edt\u00e1sa<\/li>\n<li><strong>K\u00f6z\u00f6s nevez\u0151:<\/strong> Legkisebb k\u00f6z\u00f6s nevez\u0151 meghat\u00e1roz\u00e1sa<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Mi\u00e9rt v\u00e1lassza a t\u00f6rt kalkul\u00e1tort?<\/h3>\n<p>A t\u00f6rt kalkul\u00e1tor sz\u00e1mos el\u0151nnyel rendelkezik a hagyom\u00e1nyos sz\u00e1mol\u00f3g\u00e9pekkel szemben:<\/p>\n<ul class=\"wp-block-list\">\n<li><strong>Pontoss\u00e1g:<\/strong> Nagy pontoss\u00e1ggal v\u00e9gez sz\u00e1m\u00edt\u00e1sokat<\/li>\n<li><strong>Gyorsas\u00e1g:<\/strong> Azonnali eredm\u00e9nyek<\/li>\n<li><strong>Funkci\u00f3k:<\/strong> \u00d6t k\u00fcl\u00f6nb\u00f6z\u0151 sz\u00e1m\u00edt\u00e1si t\u00edpus<\/li>\n<li><strong>Egyszer\u0171s\u00edt\u00e9s:<\/strong> Automatikus t\u00f6rt egyszer\u0171s\u00edt\u00e9s<\/li>\n<li><strong>Konvert\u00e1l\u00e1s:<\/strong> T\u00f6bbf\u00e9le form\u00e1tum t\u00e1mogat\u00e1sa<\/li>\n<li><strong>El\u0151zm\u00e9nyek:<\/strong> Sz\u00e1m\u00edt\u00e1si el\u0151zm\u00e9nyek ment\u00e9se<\/li>\n<li><strong>Reszponz\u00edv:<\/strong> Minden eszk\u00f6z\u00f6n t\u00f6k\u00e9letesen m\u0171k\u00f6dik<\/li>\n<li><strong>Ingyenes:<\/strong> Teljesen ingyenes haszn\u00e1lat<\/li>\n<li><strong>Felhaszn\u00e1l\u00f3bar\u00e1t:<\/strong> Egyszer\u0171 \u00e9s intuit\u00edv fel\u00fclet<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Haszn\u00e1lati \u00fatmutat\u00f3<\/h3>\n<p>A t\u00f6rt kalkul\u00e1tor haszn\u00e1lata rendk\u00edv\u00fcl egyszer\u0171:<\/p>\n<ol>\n<li>V\u00e1lassza ki a sz\u00e1m\u00edt\u00e1si t\u00edpust<\/li>\n<li>Adja meg a t\u00f6rteket<\/li>\n<li>V\u00e1lassza ki a m\u0171veletet (ha sz\u00fcks\u00e9ges)<\/li>\n<li>\u00c1ll\u00edtsa be a k\u00edv\u00e1nt pontoss\u00e1got<\/li>\n<li>Kattintson a &#8222;Sz\u00e1m\u00edt\u00e1s&#8221; gombra<\/li>\n<li>Az eredm\u00e9ny azonnal megjelenik<\/li>\n<\/ol>\n<h3 class=\"wp-block-heading\">Matematikai k\u00e9pletek \u00e9s elmagyar\u00e1z\u00e1sok<\/h3>\n<h4 class=\"wp-block-heading\">T\u00f6rt \u00f6sszead\u00e1s<\/h4>\n<p><strong>K\u00e9plet:<\/strong> a\/b + c\/d = (a\u00d7d + b\u00d7c)\/(b\u00d7d)<\/p>\n<p><strong>P\u00e9lda:<\/strong> 3\/4 + 1\/2 = (3\u00d72 + 4\u00d71)\/(4\u00d72) = 10\/8 = 5\/4<\/p>\n<p><strong>L\u00e9p\u00e9sek:<\/strong> K\u00f6z\u00f6s nevez\u0151re hoz\u00e1s, majd \u00f6sszead\u00e1s<\/p>\n<h4 class=\"wp-block-heading\">T\u00f6rt kivon\u00e1s<\/h4>\n<p><strong>K\u00e9plet:<\/strong> a\/b &#8211; c\/d = (a\u00d7d &#8211; b\u00d7c)\/(b\u00d7d)<\/p>\n<p><strong>P\u00e9lda:<\/strong> 3\/4 &#8211; 1\/2 = (3\u00d72 &#8211; 4\u00d71)\/(4\u00d72) = 2\/8 = 1\/4<\/p>\n<p><strong>L\u00e9p\u00e9sek:<\/strong> K\u00f6z\u00f6s nevez\u0151re hoz\u00e1s, majd kivon\u00e1s<\/p>\n<h4 class=\"wp-block-heading\">T\u00f6rt szorz\u00e1s<\/h4>\n<p><strong>K\u00e9plet:<\/strong> a\/b \u00d7 c\/d = (a\u00d7c)\/(b\u00d7d)<\/p>\n<p><strong>P\u00e9lda:<\/strong> 2\/3 \u00d7 3\/4 = (2\u00d73)\/(3\u00d74) = 6\/12 = 1\/2<\/p>\n<p><strong>L\u00e9p\u00e9sek:<\/strong> Sz\u00e1ml\u00e1l\u00f3t sz\u00e1ml\u00e1l\u00f3val, nevez\u0151t nevez\u0151vel szorzunk<\/p>\n<h4 class=\"wp-block-heading\">T\u00f6rt oszt\u00e1s<\/h4>\n<p><strong>K\u00e9plet:<\/strong> a\/b \u00f7 c\/d = (a\u00d7d)\/(b\u00d7c)<\/p>\n<p><strong>P\u00e9lda:<\/strong> 2\/3 \u00f7 3\/4 = (2\u00d74)\/(3\u00d73) = 8\/9<\/p>\n<p><strong>L\u00e9p\u00e9sek:<\/strong> A m\u00e1sodik t\u00f6rt reciprok\u00e1val szorzunk<\/p>\n<h4 class=\"wp-block-heading\">T\u00f6rt egyszer\u0171s\u00edt\u00e9s<\/h4>\n<p><strong>K\u00e9plet:<\/strong> a\/b = (a\u00f7gcd(a,b))\/(b\u00f7gcd(a,b))<\/p>\n<p><strong>P\u00e9lda:<\/strong> 12\/18 = (12\u00f76)\/(18\u00f76) = 2\/3<\/p>\n<p><strong>L\u00e9p\u00e9sek:<\/strong> Legnagyobb k\u00f6z\u00f6s oszt\u00f3val osztunk<\/p>\n<h3 class=\"wp-block-heading\">Gyakran ism\u00e9telt k\u00e9rd\u00e9sek<\/h3>\n<h4 class=\"wp-block-heading\">Hogyan adok \u00f6ssze k\u00e9t t\u00f6rtet?<\/h4>\n<p>K\u00f6z\u00f6s nevez\u0151re kell hozni \u0151ket, majd a sz\u00e1ml\u00e1l\u00f3kat \u00f6sszeadni. P\u00e9ld\u00e1ul: 1\/3 + 1\/6 = 2\/6 + 1\/6 = 3\/6 = 1\/2.<\/p>\n<h4 class=\"wp-block-heading\">Mi a legkisebb k\u00f6z\u00f6s nevez\u0151?<\/h4>\n<p>A legkisebb k\u00f6z\u00f6s nevez\u0151 (LKKN) a k\u00e9t nevez\u0151 legkisebb k\u00f6z\u00f6s t\u00f6bbsz\u00f6r\u00f6se. P\u00e9ld\u00e1ul: 6 \u00e9s 8 LKKN-je 24.<\/p>\n<h4 class=\"wp-block-heading\">Hogyan egyszer\u0171s\u00edtek egy t\u00f6rtet?<\/h4>\n<p>A sz\u00e1ml\u00e1l\u00f3t \u00e9s nevez\u0151t el kell osztani a legnagyobb k\u00f6z\u00f6s oszt\u00f3val. P\u00e9ld\u00e1ul: 8\/12 = (8\u00f74)\/(12\u00f74) = 2\/3.<\/p>\n<h4 class=\"wp-block-heading\">Mi a k\u00fcl\u00f6nbs\u00e9g a vegyes sz\u00e1m \u00e9s a t\u00f6rtsz\u00e1m k\u00f6z\u00f6tt?<\/h4>\n<p>A vegyes sz\u00e1m eg\u00e9sz sz\u00e1mb\u00f3l \u00e9s t\u00f6rtsz\u00e1mb\u00f3l \u00e1ll (pl. 2 3\/4), m\u00edg a t\u00f6rtsz\u00e1m csak t\u00f6rt (pl. 11\/4).<\/p>\n<h4 class=\"wp-block-heading\">Hogyan v\u00e1ltok \u00e1t t\u00f6rtet tizedes t\u00f6rtre?<\/h4>\n<p>A sz\u00e1ml\u00e1l\u00f3t el kell osztani a nevez\u0151vel. P\u00e9ld\u00e1ul: 3\/4 = 3 \u00f7 4 = 0.75.<\/p>\n<h3 class=\"wp-block-heading\">Gyakorlati alkalmaz\u00e1si ter\u00fcletek<\/h3>\n<h4 class=\"wp-block-heading\">Oktat\u00e1s<\/h4>\n<ul class=\"wp-block-list\">\n<li>Matematika tan\u00edt\u00e1s<\/li>\n<li>H\u00e1zi feladatok ellen\u0151rz\u00e9se<\/li>\n<li>Vizsg\u00e1k el\u0151k\u00e9sz\u00edt\u00e9se<\/li>\n<li>Gyakorl\u00f3 feladatok<\/li>\n<li>Koncepci\u00f3s meg\u00e9rt\u00e9s<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">M\u00e9rn\u00f6ki alkalmaz\u00e1sok<\/h4>\n<ul class=\"wp-block-list\">\n<li>Ar\u00e1nyok sz\u00e1m\u00edt\u00e1sa<\/li>\n<li>Sk\u00e1l\u00e1z\u00e1s<\/li>\n<li>Proporci\u00f3k<\/li>\n<li>M\u00e9r\u00e9si egys\u00e9gek<\/li>\n<li>Konstrukci\u00f3s sz\u00e1m\u00edt\u00e1sok<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">K\u00f6zgazdas\u00e1gtan<\/h4>\n<ul class=\"wp-block-list\">\n<li>Kamatl\u00e1bak<\/li>\n<li>\u00c1rindexek<\/li>\n<li>Kedvezm\u00e9nyek<\/li>\n<li>Ad\u00f3sz\u00e1m\u00edt\u00e1sok<\/li>\n<li>Befektet\u00e9si ar\u00e1nyok<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">Tudom\u00e1nyos sz\u00e1m\u00edt\u00e1sok<\/h4>\n<ul class=\"wp-block-list\">\n<li>K\u00e9miai k\u00e9pletek<\/li>\n<li>Fizikai ar\u00e1nyok<\/li>\n<li>Statisztikai val\u00f3sz\u00edn\u0171s\u00e9gek<\/li>\n<li>Biometriai adatok<\/li>\n<li>Kutat\u00e1si eredm\u00e9nyek<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Matematikai h\u00e1tt\u00e9r<\/h3>\n<p>A t\u00f6rtek a matematika alapvet\u0151 fogalmai:<\/p>\n<ul class=\"wp-block-list\">\n<li><strong>Racion\u00e1lis sz\u00e1mok:<\/strong> a\/b alak\u00fa sz\u00e1mok, ahol a, b eg\u00e9sz sz\u00e1mok<\/li>\n<li><strong>Val\u00f3s sz\u00e1mok:<\/strong> T\u00f6rtek \u00e9s irracion\u00e1lis sz\u00e1mok egy\u00fctt<\/li>\n<li><strong>Algebrai m\u0171veletek:<\/strong> \u00d6sszead\u00e1s, kivon\u00e1s, szorz\u00e1s, oszt\u00e1s<\/li>\n<li><strong>Egyszer\u0171s\u00edt\u00e9s:<\/strong> Legnagyobb k\u00f6z\u00f6s oszt\u00f3 alkalmaz\u00e1sa<\/li>\n<li><strong>Konvert\u00e1l\u00e1s:<\/strong> K\u00fcl\u00f6nb\u00f6z\u0151 sz\u00e1mrendszerek k\u00f6z\u00f6tt<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Kapcsol\u00f3d\u00f3 kalkul\u00e1torok<\/h3>\n<p>Ha a t\u00f6rt kalkul\u00e1tor nem elegend\u0151, pr\u00f3b\u00e1lja ki tov\u00e1bbi matematikai kalkul\u00e1torainkat:<\/p>\n<ul class=\"wp-block-list\">\n<li><a href=\"\/pl\/tudomanyos-kalkulator-trigonometrikus-es-specialis-fuggvenyek\/\">Tudom\u00e1nyos kalkul\u00e1tor<\/a> &#8211; Komplex matematikai m\u0171veletek<\/li>\n<li><a href=\"\/pl\/szazalek-kalkulator-szazalekszamitasok-es-atszamitasok\/\">Sz\u00e1zal\u00e9k kalkul\u00e1tor<\/a> &#8211; Sz\u00e1zal\u00e9ksz\u00e1m\u00edt\u00e1sok<\/li>\n<li><a href=\"\/pl\/hatvany-kalkulator-hatvanyozasi-muveletek-es-exponencialis-fuggvenyek\/\">Hatv\u00e1ny kalkul\u00e1tor<\/a> &#8211; Hatv\u00e1nyoz\u00e1si m\u0171veletek<\/li>\n<li><a href=\"\/pl\/gyok-kalkulator-gyokvonasi-muveletek-es-reszletes-szamitasok\/\">Gy\u00f6k kalkul\u00e1tor<\/a> &#8211; Gy\u00f6kvon\u00e1si m\u0171veletek<\/li>\n<li><a href=\"\/pl\/logaritmus-kalkulator-logaritmus-szamitasok-es-exponencialis-fuggvenyek\/\">Logaritmus kalkul\u00e1tor<\/a> &#8211; Logaritmus sz\u00e1m\u00edt\u00e1sok<\/li>\n<li><a href=\"\/pl\/faktorialis-kalkulator-faktorialis-szamitasok-es-kombinatorikai-muveletek\/\">Faktori\u00e1lis kalkul\u00e1tor<\/a> &#8211; Faktori\u00e1lis sz\u00e1m\u00edt\u00e1sok<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Technikai inform\u00e1ci\u00f3k<\/h3>\n<p>A t\u00f6rt kalkul\u00e1tor modern web technol\u00f3gi\u00e1kkal k\u00e9sz\u00fclt, \u00e9s a k\u00f6vetkez\u0151 funkci\u00f3kkal rendelkezik:<\/p>\n<ul class=\"wp-block-list\">\n<li>JavaScript alap\u00fa sz\u00e1m\u00edt\u00e1sok<\/li>\n<li>Reszponz\u00edv diz\u00e1jn<\/li>\n<li>Accessibility t\u00e1mogat\u00e1s<\/li>\n<li>SEO optimaliz\u00e1lt<\/li>\n<li>Gyors bet\u00f6lt\u00e9si id\u0151<\/li>\n<li>Keresztb\u00f6ng\u00e9sz\u0151 kompatibilit\u00e1s<\/li>\n<li>Automatikus t\u00f6rt egyszer\u0171s\u00edt\u00e9s<\/li>\n<li>Pontos matematikai algoritmusok<\/li>\n<\/ul>\n<p>A t\u00f6rt kalkul\u00e1tor folyamatosan fejleszt\u00e9s alatt \u00e1ll, hogy mindig a legjobb felhaszn\u00e1l\u00f3i \u00e9lm\u00e9nyt ny\u00fajtsa. Ha b\u00e1rmilyen javaslata vagy \u00e9szrev\u00e9tele van, k\u00e9rj\u00fck, vegye fel vel\u00fcnk a kapcsolatot.<\/p>","protected":false},"excerpt":{"rendered":"<p>T\u00f6rt Kalkul\u00e1tor &#8211; T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek Professzion\u00e1lis t\u00f6rt kalkul\u00e1tor t\u00f6rtsz\u00e1m\u00edt\u00e1sokhoz, algebrai m\u0171veletekhez, egyszer\u0171s\u00edt\u00e9shez \u00e9s t\u00f6rtek konvert\u00e1l\u00e1s\u00e1hoz. T\u00f6k\u00e9letes v\u00e1laszt\u00e1s di\u00e1koknak, tan\u00e1roknak \u00e9s matematikusoknak. T\u00f6rt Kalkul\u00e1tor T\u00f6rtsz\u00e1m\u00edt\u00e1sok, algebrai m\u0171veletek, egyszer\u0171s\u00edt\u00e9s \u00e9s t\u00f6rtek konvert\u00e1l\u00e1sa Sz\u00e1m\u00edt\u00e1si t\u00edpus Alapm\u0171veletek Egyszer\u0171s\u00edt\u00e9s Konvert\u00e1l\u00e1s \u00d6sszehasonl\u00edt\u00e1s Vegyes sz\u00e1mok Els\u0151 t\u00f6rt \u00d6sszead\u00e1s (+)Kivon\u00e1s (-)Szorz\u00e1s (\u00d7)Oszt\u00e1s (\u00f7) M\u00e1sodik t\u00f6rt T\u00f6rt egyszer\u0171s\u00edt\u00e9se T\u00f6rt konvert\u00e1l\u00e1sa Tizedes t\u00f6rt &#8230; <a title=\"Kalkulator U\u0142amk\u00f3w \u2013 Obliczenia U\u0142amkowe i Dzia\u0142ania Algebraiczne\" class=\"read-more\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/pl\/tort-kalkulator-tortszamitasok-es-algebrai-muveletek\/\" aria-label=\"Read more about T\u00f6rt Kalkul\u00e1tor &#8211; T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek\">Read more<\/a><\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-23","page","type-page","status-publish"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>T\u00f6rt Kalkul\u00e1tor - T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek - Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/pl\/tort-kalkulator-tortszamitasok-es-algebrai-muveletek\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"T\u00f6rt Kalkul\u00e1tor - T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek - Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye\" \/>\n<meta property=\"og:description\" content=\"T\u00f6rt Kalkul\u00e1tor &#8211; T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek Professzion\u00e1lis t\u00f6rt kalkul\u00e1tor t\u00f6rtsz\u00e1m\u00edt\u00e1sokhoz, algebrai m\u0171veletekhez, egyszer\u0171s\u00edt\u00e9shez \u00e9s t\u00f6rtek konvert\u00e1l\u00e1s\u00e1hoz. 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