{"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":"zlomkova-kalkulacka-vypocty-zlomku-a-algebraicke-operace","status":"publish","type":"page","link":"https:\/\/xn--szmolgp-iwa0f0e.hu\/cs\/tort-kalkulator-tortszamitasok-es-algebrai-muveletek\/","title":{"rendered":"Zlomkov\u00fd Kalkul\u00e1tor \u2013 V\u00fdpo\u010dty se zlomky a algebraick\u00e9 operace"},"content":{"rendered":"<h1 class=\"wp-block-heading has-text-align-center\" style=\"margin-bottom:2rem\">Zlomkov\u00fd Kalkul\u00e1tor \u2013 V\u00fdpo\u010dty se zlomky a algebraick\u00e9 operace<\/h1>\n<p class=\"has-text-align-center\" style=\"margin-bottom:3rem\">Profesion\u00e1ln\u00ed kalkula\u010dka zlomk\u016f pro v\u00fdpo\u010dty zlomk\u016f, algebraick\u00e9 operace, zjednodu\u0161ov\u00e1n\u00ed a p\u0159evod zlomk\u016f. Ide\u00e1ln\u00ed volba pro studenty, u\u010ditele a matematiky.<\/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>Kalkula\u010dka zlomk\u016f<\/h2>\n<p class=\"calculator-description\">V\u00fdpo\u010dty zlomk\u016f, algebraick\u00e9 operace, zjednodu\u0161ov\u00e1n\u00ed a p\u0159evod zlomk\u016f<\/p>\n<div class=\"input-section\">\n<div class=\"calculation-type\">\n<h3>Typ v\u00fdpo\u010dtu<\/h3>\n<div class=\"type-buttons\">\n                            <button type=\"button\" class=\"type-btn active\" data-type=\"basic\">Z\u00e1kladn\u00ed operace<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"simplify\">Zjednodu\u0161en\u00ed<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"convert\">P\u0159evod<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"compare\">Porovn\u00e1n\u00ed<\/button><br \/>\n                            <button type=\"button\" class=\"type-btn\" data-type=\"mixed\">Sm\u00ed\u0161en\u00e1 \u010d\u00edsla<\/button>\n                        <\/div>\n<\/p><\/div>\n<div class=\"fraction-inputs\" id=\"basic-inputs\">\n<div class=\"fraction-group\">\n<h4>Prvn\u00ed zlomek<\/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\">S\u010d\u00edt\u00e1n\u00ed (+)<\/option><option value=\"subtract\">Od\u010d\u00edt\u00e1n\u00ed (-)<\/option><option value=\"multiply\">N\u00e1soben\u00ed (\u00d7)<\/option><option value=\"divide\">D\u011blen\u00ed (\u00f7)<\/option><\/select>\n                        <\/div>\n<div class=\"fraction-group\">\n<h4>Druh\u00fd zlomek<\/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>Zjednodu\u0161en\u00ed zlomku<\/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>P\u0159evod zlomku<\/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> Desetinn\u00fd zlomek<br \/>\n                            <\/label><br \/>\n                            <label><br \/>\n                                <input type=\"radio\" name=\"convert-type\" value=\"percentage\"> Procento<br \/>\n                            <\/label><br \/>\n                            <label><br \/>\n                                <input type=\"radio\" name=\"convert-type\" value=\"mixed\"> Sm\u00ed\u0161en\u00e9 \u010d\u00edslo<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>Prvn\u00ed zlomek<\/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>Druh\u00fd zlomek<\/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>Sm\u00ed\u0161en\u00e9 \u010d\u00edslo<\/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> P\u0159evod na zlomek<br \/>\n                            <\/label><br \/>\n                            <label><br \/>\n                                <input type=\"radio\" name=\"mixed-convert\" value=\"decimal\"> Desetinn\u00fd zlomek<br \/>\n                            <\/label>\n                        <\/div>\n<\/p><\/div>\n<div class=\"input-group\" id=\"precision-group\">\n                        <label for=\"precision\">P\u0159esnost<\/label><br \/>\n                        <select id=\"precision\"><option value=\"2\">2 desetinn\u00e1 m\u00edsta<\/option><option value=\"4\" selected>4 desetinn\u00e1 m\u00edsta<\/option><option value=\"6\">6 desetinn\u00fdch m\u00edst<\/option><option value=\"8\">8 desetinn\u00fdch m\u00edst<\/option><\/select><br \/>\n                        <span class=\"input-hint\">P\u0159esnost v\u00fdsledku<\/span>\n                    <\/div>\n<p>                    <button type=\"button\" id=\"calculate-fraction\" class=\"calculate-btn\">V\u00fdpo\u010det<\/button>\n                <\/div>\n<div class=\"result-section\" id=\"result-section\" style=\"display: none;\">\n<div class=\"result-header\">\n<h3>V\u00fdsledek<\/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>Podrobn\u00e9 informace<\/h4>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Typ v\u00fdpo\u010dtu:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"calculation-type-used\">\u2013<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Operace:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"operation-used\">\u2013<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Zjednodu\u0161en\u00fd tvar:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"simplified-form\">\u2013<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Desetinn\u00e1 hodnota:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"decimal-value\">\u2013<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Procento:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"percentage-value\">\u2013<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">P\u0159esnost:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"precision-used\">\u2013<\/span>\n                            <\/div>\n<div class=\"detail-item\">\n                                <span class=\"detail-label\">Doba v\u00fdpo\u010dtu:<\/span><br \/>\n                                <span class=\"detail-value\" id=\"calculation-time\">\u2013<\/span>\n                            <\/div>\n<\/p><\/div>\n<div class=\"calculation-history\" id=\"calculation-history\">\n<h4>Historie v\u00fdpo\u010dt\u016f<\/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>Typy v\u00fdpo\u010dt\u016f<\/h4>\n<div class=\"types-grid\">\n<div class=\"type-category\">\n<h5>Z\u00e1kladn\u00ed operace<\/h5>\n<p>S\u010d\u00edt\u00e1n\u00ed, od\u010d\u00edt\u00e1n\u00ed, n\u00e1soben\u00ed, d\u011blen\u00ed<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 3\/4 + 1\/2 = 5\/4<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>Zjednodu\u0161en\u00ed<\/h5>\n<p>Zjednodu\u0161en\u00ed zlomku na nejmen\u0161\u00ed spole\u010dn\u00fd jmenovatel<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 12\/18 = 2\/3<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>P\u0159evod<\/h5>\n<p>P\u0159evod zlomku na desetinn\u00fd zlomek, procento<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 3\/4 = 0.75 = 75%<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>Porovn\u00e1n\u00ed<\/h5>\n<p>Porovn\u00e1n\u00ed dvou zlomk\u016f<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 2\/3 < 3\/4<\/p>\n<\/p><\/div>\n<div class=\"type-category\">\n<h5>Sm\u00ed\u0161en\u00e1 \u010d\u00edsla<\/h5>\n<p>P\u0159evod sm\u00ed\u0161en\u00fdch \u010d\u00edsel na zlomky<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 2 3\/4 = 11\/4<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<h4>N\u00e1vod k pou\u017eit\u00ed<\/h4>\n<ol>\n<li>Vyberte typ v\u00fdpo\u010dtu<\/li>\n<li>Zadejte zlomky<\/li>\n<li>Vyberte operaci (pokud je to nutn\u00e9)<\/li>\n<li>Nastavte po\u017eadovanou p\u0159esnost<\/li>\n<li>Klikn\u011bte na tla\u010d\u00edtko \u201eVypo\u010d\u00edtat\u201d<\/li>\n<li>V\u00fdsledek se okam\u017eit\u011b zobraz\u00ed<\/li>\n<\/ol>\n<div class=\"examples\">\n<h4>Praktick\u00e9 p\u0159\u00edklady<\/h4>\n<div class=\"example-item\">\n                            <strong>S\u010d\u00edt\u00e1n\u00ed:<\/strong> 3\/4 + 1\/2 = 5\/4\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>N\u00e1soben\u00ed:<\/strong> 2\/3 \u00d7 3\/4 = 1\/2\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>Zjednodu\u0161en\u00ed:<\/strong> 12\/18 = 2\/3\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>P\u0159evod:<\/strong> 3\/4 = 0.75\n                        <\/div>\n<div class=\"example-item\">\n                            <strong>Sm\u00ed\u0161en\u00e9 \u010d\u00edslo:<\/strong> 2 3\/4 = 11\/4\n                        <\/div>\n<\/p><\/div>\n<div class=\"disclaimer\">\n<p><strong>D\u016fle\u017eit\u00e9:<\/strong> Jmenovatel nem\u016f\u017ee b\u00fdt nula. Kalkula\u010dka automaticky zjednodu\u0161\u00ed v\u00fdsledek. U sm\u00ed\u0161en\u00fdch \u010d\u00edsel je t\u0159eba zach\u00e1zet s cel\u00fdm \u010d\u00edslem a zlomkovou \u010d\u00e1st\u00ed odd\u011blen\u011b.<\/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\">Kalkula\u010dka zlomk\u016f \u2013 Profesion\u00e1ln\u00ed v\u00fdpo\u010dty zlomk\u016f<\/h2>\n<p>Kalkula\u010dka zlomk\u016f je profesion\u00e1ln\u00ed online n\u00e1stroj, kter\u00fd umo\u017e\u0148uje rychl\u00e9 a p\u0159esn\u00e9 prov\u00e1d\u011bn\u00ed v\u00fdpo\u010dt\u016f zlomk\u016f. Ide\u00e1ln\u00ed volba pro studenty, u\u010ditele, matematiky a v\u0161echny, kte\u0159\u00ed pot\u0159ebuj\u00ed prov\u00e1d\u011bt v\u00fdpo\u010dty zlomk\u016f.<\/p>\n<h3 class=\"wp-block-heading\">Jak\u00e9 v\u00fdpo\u010dty zlomk\u016f m\u016f\u017eete prov\u00e1d\u011bt?<\/h3>\n<h4 class=\"wp-block-heading\">Z\u00e1kladn\u00ed operace se zlomky<\/h4>\n<ul class=\"wp-block-list\">\n<li><strong>S\u010d\u00edt\u00e1n\u00ed:<\/strong> S\u010d\u00edt\u00e1n\u00ed dvou zlomk\u016f<\/li>\n<li><strong>Od\u010d\u00edt\u00e1n\u00ed:<\/strong> Od\u010d\u00edt\u00e1n\u00ed dvou zlomk\u016f<\/li>\n<li><strong>N\u00e1soben\u00ed:<\/strong> N\u00e1soben\u00ed dvou zlomk\u016f<\/li>\n<li><strong>D\u011blen\u00ed:<\/strong> D\u011blen\u00ed dvou zlomk\u016f<\/li>\n<li><strong>Zjednodu\u0161en\u00ed:<\/strong> Zjednodu\u0161en\u00ed zlomku<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">Speci\u00e1ln\u00ed operace se zlomky<\/h4>\n<ul class=\"wp-block-list\">\n<li><strong>P\u0159evod:<\/strong> P\u0159evod zlomku na desetinn\u00fd zlomek<\/li>\n<li><strong>Procento:<\/strong> P\u0159evod zlomku na procento<\/li>\n<li><strong>Sm\u00ed\u0161en\u00e1 \u010d\u00edsla:<\/strong> P\u0159evod sm\u00ed\u0161en\u00fdch \u010d\u00edsel na zlomky<\/li>\n<li><strong>Porovn\u00e1n\u00ed:<\/strong> Porovn\u00e1n\u00ed dvou zlomk\u016f<\/li>\n<li><strong>Spole\u010dn\u00fd jmenovatel:<\/strong> Ur\u010den\u00ed nejmen\u0161\u00edho spole\u010dn\u00e9ho jmenovatele<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Pro\u010d zvolit kalkula\u010dku zlomk\u016f?<\/h3>\n<p>Kalkula\u010dka zlomk\u016f m\u00e1 oproti tradi\u010dn\u00edm kalkula\u010dk\u00e1m \u0159adu v\u00fdhod:<\/p>\n<ul class=\"wp-block-list\">\n<li><strong>P\u0159esnost:<\/strong> Prov\u00e1d\u00ed v\u00fdpo\u010dty s vysokou p\u0159esnost\u00ed<\/li>\n<li><strong>Rychlost:<\/strong> Okam\u017eit\u00e9 v\u00fdsledky<\/li>\n<li><strong>Funkce:<\/strong> P\u011bt r\u016fzn\u00fdch typ\u016f v\u00fdpo\u010dt\u016f<\/li>\n<li><strong>Zjednodu\u0161en\u00ed:<\/strong> Automatick\u00e9 zjednodu\u0161ov\u00e1n\u00ed zlomk\u016f<\/li>\n<li><strong>P\u0159evod:<\/strong> Podpora v\u00edce form\u00e1t\u016f<\/li>\n<li><strong>Historie:<\/strong> Ukl\u00e1d\u00e1n\u00ed historie v\u00fdpo\u010dt\u016f<\/li>\n<li><strong>Responzivn\u00ed:<\/strong> Funguje perfektn\u011b na v\u0161ech za\u0159\u00edzen\u00edch<\/li>\n<li><strong>Zdarma:<\/strong> Zcela zdarma k pou\u017eit\u00ed<\/li>\n<li><strong>U\u017eivatelsky p\u0159\u00edv\u011btiv\u00e1:<\/strong> Jednoduch\u00e9 a intuitivn\u00ed rozhran\u00ed<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">N\u00e1vod k pou\u017eit\u00ed<\/h3>\n<p>Pou\u017eit\u00ed kalkula\u010dky zlomk\u016f je velmi jednoduch\u00e9:<\/p>\n<ol>\n<li>Vyberte typ v\u00fdpo\u010dtu<\/li>\n<li>Zadejte zlomky<\/li>\n<li>Vyberte operaci (pokud je to nutn\u00e9)<\/li>\n<li>Nastavte po\u017eadovanou p\u0159esnost<\/li>\n<li>Klikn\u011bte na tla\u010d\u00edtko \u201eVypo\u010d\u00edtat\u201d<\/li>\n<li>V\u00fdsledek se okam\u017eit\u011b zobraz\u00ed<\/li>\n<\/ol>\n<h3 class=\"wp-block-heading\">Matematick\u00e9 vzorce a vysv\u011btlen\u00ed<\/h3>\n<h4 class=\"wp-block-heading\">S\u010d\u00edt\u00e1n\u00ed zlomk\u016f<\/h4>\n<p><strong>Vzorec:<\/strong> a\/b + c\/d = (a\u00d7d + b\u00d7c)\/(b\u00d7d)<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 3\/4 + 1\/2 = (3\u00d72 + 4\u00d71)\/(4\u00d72) = 10\/8 = 5\/4<\/p>\n<p><strong>Kroky:<\/strong> P\u0159evod na spole\u010dn\u00e9ho jmenovatele a n\u00e1sledn\u00e9 s\u010d\u00edt\u00e1n\u00ed<\/p>\n<h4 class=\"wp-block-heading\">Od\u010d\u00edt\u00e1n\u00ed zlomk\u016f<\/h4>\n<p><strong>Vzorec:<\/strong> a\/b \u2013 c\/d = (a\u00d7d \u2013 b\u00d7c)\/(b\u00d7d)<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 3\/4 \u2013 1\/2 = (3\u00d72 \u2013 4\u00d71)\/(4\u00d72) = 2\/8 = 1\/4<\/p>\n<p><strong>Kroky:<\/strong> P\u0159evod na spole\u010dn\u00e9ho jmenovatele a n\u00e1sledn\u00e9 od\u010d\u00edt\u00e1n\u00ed<\/p>\n<h4 class=\"wp-block-heading\">N\u00e1soben\u00ed zlomk\u016f<\/h4>\n<p><strong>Vzorec:<\/strong> a\/b \u00d7 c\/d = (a\u00d7c)\/(b\u00d7d)<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 2\/3 \u00d7 3\/4 = (2\u00d73)\/(3\u00d74) = 6\/12 = 1\/2<\/p>\n<p><strong>Kroky:<\/strong> \u010citatele n\u00e1sob\u00edme \u010ditatelem, jmenovatele jmenovatelem<\/p>\n<h4 class=\"wp-block-heading\">D\u011blen\u00ed zlomk\u016f<\/h4>\n<p><strong>Vzorec:<\/strong> a\/b \u00f7 c\/d = (a\u00d7d)\/(b\u00d7c)<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 2\/3 \u00f7 3\/4 = (2\u00d74)\/(3\u00d73) = 8\/9<\/p>\n<p><strong>Kroky:<\/strong> N\u00e1sob\u00edme p\u0159evr\u00e1cenou hodnotou druh\u00e9ho zlomku<\/p>\n<h4 class=\"wp-block-heading\">Zjednodu\u0161ov\u00e1n\u00ed zlomk\u016f<\/h4>\n<p><strong>Vzorec:<\/strong> a\/b = (a\u00f7gcd(a,b))\/(b\u00f7gcd(a,b))<\/p>\n<p><strong>P\u0159\u00edklad:<\/strong> 12\/18 = (12\u00f76)\/(18\u00f76) = 2\/3<\/p>\n<p><strong>Kroky:<\/strong> D\u011bl\u00edme nejv\u011bt\u0161\u00edm spole\u010dn\u00fdm d\u011blitelem<\/p>\n<h3 class=\"wp-block-heading\">\u010casto kladen\u00e9 ot\u00e1zky<\/h3>\n<h4 class=\"wp-block-heading\">Jak se\u010dtu dva zlomky?<\/h4>\n<p>Je t\u0159eba je p\u0159ev\u00e9st na spole\u010dn\u00e9ho jmenovatele a pot\u00e9 se\u010d\u00edst \u010ditatele. Nap\u0159\u00edklad: 1\/3 + 1\/6 = 2\/6 + 1\/6 = 3\/6 = 1\/2.<\/p>\n<h4 class=\"wp-block-heading\">Co je nejmen\u0161\u00ed spole\u010dn\u00fd jmenovatel?<\/h4>\n<p>Nejmen\u0161\u00ed spole\u010dn\u00fd jmenovatel (NSJ) je nejmen\u0161\u00ed spole\u010dn\u00fd n\u00e1sobek obou jmenovatel\u016f. Nap\u0159\u00edklad: NSJ \u010d\u00edsel 6 a 8 je 24.<\/p>\n<h4 class=\"wp-block-heading\">Jak zjednodu\u0161\u00edm zlomek?<\/h4>\n<p>\u010citatele a jmenovatele je t\u0159eba vyd\u011blit nejv\u011bt\u0161\u00edm spole\u010dn\u00fdm d\u011blitelem. Nap\u0159\u00edklad: 8\/12 = (8\u00f74)\/(12\u00f74) = 2\/3.<\/p>\n<h4 class=\"wp-block-heading\">Jak\u00fd je rozd\u00edl mezi sm\u00ed\u0161en\u00fdm \u010d\u00edslem a zlomkem?<\/h4>\n<p>Sm\u00ed\u0161en\u00e9 \u010d\u00edslo se skl\u00e1d\u00e1 z cel\u00e9ho \u010d\u00edsla a zlomku (nap\u0159. 2 3\/4), zat\u00edmco zlomek je pouze zlomek (nap\u0159. 11\/4).<\/p>\n<h4 class=\"wp-block-heading\">Jak p\u0159evedu zlomek na desetinn\u00e9 \u010d\u00edslo?<\/h4>\n<p>\u010citatele je t\u0159eba vyd\u011blit jmenovatelem. Nap\u0159\u00edklad: 3\/4 = 3 \u00f7 4 = 0.75.<\/p>\n<h3 class=\"wp-block-heading\">Praktick\u00e9 oblasti pou\u017eit\u00ed<\/h3>\n<h4 class=\"wp-block-heading\">Vzd\u011bl\u00e1v\u00e1n\u00ed<\/h4>\n<ul class=\"wp-block-list\">\n<li>V\u00fduka matematiky<\/li>\n<li>Kontrola dom\u00e1c\u00edch \u00fakol\u016f<\/li>\n<li>P\u0159\u00edprava na zkou\u0161ky<\/li>\n<li>Cvi\u010dn\u00e9 \u00falohy<\/li>\n<li>Pochopen\u00ed koncept\u016f<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">In\u017een\u00fdrsk\u00e9 aplikace<\/h4>\n<ul class=\"wp-block-list\">\n<li>V\u00fdpo\u010det pom\u011br\u016f<\/li>\n<li>\u0160k\u00e1lov\u00e1n\u00ed<\/li>\n<li>Proporce<\/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>Slevy<\/li>\n<li>Ad\u00f3sz\u00e1m\u00edt\u00e1sok<\/li>\n<li>Befektet\u00e9si ar\u00e1nyok<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\">V\u011bdeck\u00e9 v\u00fdpo\u010dty<\/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>V\u00fdsledky v\u00fdzkumu<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Matematick\u00e9 pozad\u00ed<\/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> S\u010d\u00edt\u00e1n\u00ed, od\u010d\u00edt\u00e1n\u00ed, n\u00e1soben\u00ed, d\u011blen\u00ed<\/li>\n<li><strong>Zjednodu\u0161en\u00ed:<\/strong> Legnagyobb k\u00f6z\u00f6s oszt\u00f3 alkalmaz\u00e1sa<\/li>\n<li><strong>P\u0159evod:<\/strong> K\u00fcl\u00f6nb\u00f6z\u0151 sz\u00e1mrendszerek k\u00f6z\u00f6tt<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Souvisej\u00edc\u00ed kalkula\u010dky<\/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=\"\/cs\/vedecka-kalkulacka-trigonometricke-a-specialni-funkce\/\">V\u011bdeck\u00e1 kalkula\u010dka<\/a> \u2013 Komplexn\u00ed matematick\u00e9 operace<\/li>\n<li><a href=\"\/cs\/procentualni-kalkulacka-procentni-vypocty-a-prevody\/\">Procentn\u00ed kalkula\u010dka<\/a> \u2013 V\u00fdpo\u010dty procent<\/li>\n<li><a href=\"\/cs\/kalkulacka-mocnin-operace-s-mocninami-a-exponencialni-funkce\/\">Kalkula\u010dka mocnin<\/a> \u2013 Operace umoc\u0148ov\u00e1n\u00ed<\/li>\n<li><a href=\"\/cs\/kalkulacka-odmocnin-operace-odmocnovani-a-podrobne-vypocty\/\">Kalkula\u010dka odmocnin<\/a> &#8211; Gy\u00f6kvon\u00e1si m\u0171veletek<\/li>\n<li><a href=\"\/cs\/logaritmus-kalkulator-logaritmus-szamitasok-es-exponencialis-fuggvenyek\/\">Logaritmick\u00e1 kalkula\u010dka<\/a> \u2013 V\u00fdpo\u010dty logaritm\u016f<\/li>\n<li><a href=\"\/cs\/faktorialni-kalkulator-faktorialni-vypocty-a-kombinatoricke-operace\/\">Faktori\u00e1ln\u00ed kalkula\u010dka<\/a> \u2013 V\u00fdpo\u010dty faktori\u00e1l\u016f<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\">Technick\u00e9 informace<\/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>V\u00fdpo\u010dty zalo\u017een\u00e9 na JavaScriptu<\/li>\n<li>Responzivn\u00ed design<\/li>\n<li>Podpora p\u0159\u00edstupnosti<\/li>\n<li>SEO optimalizace<\/li>\n<li>Rychl\u00e1 doba na\u010d\u00edt\u00e1n\u00ed<\/li>\n<li>Kompatibilita nap\u0159\u00ed\u010d prohl\u00ed\u017ee\u010di<\/li>\n<li>Automatick\u00e9 zjednodu\u0161ov\u00e1n\u00ed zlomk\u016f<\/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=\"Zlomkov\u00e1 kalkula\u010dka \u2013 V\u00fdpo\u010dty zlomk\u016f a algebraick\u00e9 operace\" class=\"read-more\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/cs\/tort-kalkulator-tortszamitasok-es-algebrai-muveletek\/\" aria-label=\"\u010c\u00edst v\u00edce o T\u00f6rt Kalkul\u00e1tor &#8211; T\u00f6rtsz\u00e1m\u00edt\u00e1sok \u00e9s Algebrai M\u0171veletek\">\u010c\u00edst d\u00e1l<\/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\/cs\/zlomkova-kalkulacka-vypocty-zlomku-a-algebraicke-operace\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\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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