{"id":4201,"date":"2026-11-02T10:54:33","date_gmt":"2026-11-02T10:54:33","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/oran-hesaplayici-sadelestirme-olceklednirme\/"},"modified":"2026-11-02T10:54:33","modified_gmt":"2026-11-02T10:54:33","slug":"oran-hesaplayici-sadelestirme-olceklednirme","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/oran-hesaplayici-sadelestirme-olceklednirme\/","title":{"rendered":"Oran hesaplay\u0131c\u0131 \u2013 oranlar\u0131 sadele\u015ftirme ve \u00f6l\u00e7eklendirme"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Orant\u0131y\u0131 \u00e7\u00f6z\u00fcn ya da bir oran\u0131 sadele\u015ftirin ve \u00f6l\u00e7ekleyin<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4201\" data-favorite-title=\"Oran\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/oran-hesaplayici-sadelestirme-olceklednirme\/\" data-favorite-excerpt=\"A : B = C : D orant\u0131s\u0131ndaki eksik terimi bulun, 2\u20134 par\u00e7al\u0131 bir oran\u0131 en k\u00fc\u00e7\u00fck tam say\u0131 bi\u00e7imine sadele\u015ftirin ya da bir oran\u0131 verilen bir katsay\u0131ya, par\u00e7a de\u011ferine veya toplama g\u00f6re \u00f6l\u00e7eklendirin. De\u011ferlerinizi girin; sonu\u00e7 an\u0131nda g\u00f6r\u00fcn\u00fcr.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/oran-hesaplayici-sadelestirme-olceklednirme\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4201\" data-post=\"4201\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Ne yapmak istiyorsunuz?<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"ne_yapmak_istiyorsunuz\"><option value=\"solve\" selected>A : B = C : D orant\u0131s\u0131n\u0131 \u00e7\u00f6z (eksik de\u011feri bul)<\/option><option value=\"simplify\">Bir oran\u0131 sadele\u015ftir<\/option><option value=\"scale\">Bir oran\u0131 \u00f6l\u00e7ekle<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"is-single field\" id=\"input-2\"><span class=\"font-semibold\">A : B = C : D orant\u0131s\u0131n\u0131 \u00e7\u00f6z\u00fcn<\/span><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Birinci terim (A)<\/label><div class=\"term\">A<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"birinci_terim_a\" id=\"field-3\" aria-describedby=\"calc-info-3\" step=\"any\" value=\"3\"\/><small id=\"calc-info-3\">A, B, C ve D de\u011ferlerinden tam olarak birini bo\u015f b\u0131rak\u0131n; eksik de\u011fer i\u00e7ler-d\u0131\u015flar \u00e7arp\u0131m\u0131yla bulunur. D\u00f6rd\u00fcn\u00fc de doldurursan\u0131z orant\u0131n\u0131n do\u011fru olup olmad\u0131\u011f\u0131 kontrol edilir.<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">\u0130kinci terim (B)<\/label><div class=\"term\">B<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"kinci_terim_b\" id=\"field-4\" step=\"any\" value=\"4\"\/><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">\u00dc\u00e7\u00fcnc\u00fc terim (C)<\/label><div class=\"term\">C<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"nc_terim_c\" id=\"field-5\" step=\"any\" value=\"6\"\/><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-6\">D\u00f6rd\u00fcnc\u00fc terim (D)<\/label><div class=\"term\">D<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"drdnc_terim_d\" id=\"field-6\" placeholder=\"\u00f6rn. 8 \u2014 ya da bo\u015f b\u0131rak\u0131n\" step=\"any\"\/><\/div><div class=\"is-single field\" id=\"input-7\"><span class=\"font-semibold\">Bir oran\u0131 sadele\u015ftirin<\/span><\/div><div class=\"field\" id=\"input-8\"><label for=\"field-8\">Oran par\u00e7alar\u0131 (2\u20134 say\u0131)<\/label><textarea id=\"field-8\" name=\"oran_paralar_24_say\">18 : 24 : 30<\/textarea><\/div><div class=\"is-single field\" id=\"input-9\"><span class=\"font-semibold\">Bir oran\u0131 \u00f6l\u00e7ekleyin<\/span><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-10\">Oran par\u00e7alar\u0131 (2\u20134 say\u0131)<\/label><textarea id=\"field-10\" name=\"oran_paralar_24_say\">3 : 5<\/textarea><\/div><div class=\"field\" id=\"input-11\"><label for=\"field-11\">\u00d6l\u00e7ekleme y\u00f6ntemi<\/label><div class=\"grid grid-cols-1\"><select id=\"field-11\" name=\"lekleme_yntemi\"><option value=\"factor\">Oran\u0131 bir katsay\u0131yla \u00e7arp ya da b\u00f6l<\/option><option value=\"part\">Bir par\u00e7ay\u0131 istenen de\u011fere e\u015fitle<\/option><option value=\"total\" selected>Toplam\u0131 istenen de\u011fere e\u015fitle<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-12\" hidden><label for=\"field-12\">\u0130\u015flem<\/label><div class=\"grid grid-cols-1\"><select id=\"field-12\" name=\"lem\"><option value=\"multiply\" selected>\u00d7 \u00e7arp<\/option><option value=\"divide\">\u00f7 b\u00f6l<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-13\" hidden><label for=\"field-13\">Katsay\u0131<\/label><div class=\"term\">k<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"katsay\" id=\"field-13\" aria-describedby=\"calc-info-13\" step=\"any\" value=\"2\"\/><small id=\"calc-info-13\">Her par\u00e7a bu say\u0131yla \u00e7arp\u0131l\u0131r (ya da b\u00f6l\u00fcn\u00fcr).<\/small><\/div><div class=\"field has-term\" id=\"input-14\" hidden><label for=\"field-14\">Hedef de\u011fer<\/label><div class=\"term\">T<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"hedef_deer\" id=\"field-14\" aria-describedby=\"calc-info-14\" step=\"any\" value=\"40\"\/><small id=\"calc-info-14\">Se\u00e7ilen par\u00e7a (veya toplam) bu de\u011fere e\u015fitlenecek \u015fekilde \u00f6l\u00e7eklenir.<\/small><\/div><div class=\"field\" id=\"input-15\" hidden><label for=\"field-15\">Hedefe e\u015fitlenecek par\u00e7a<\/label><div class=\"grid grid-cols-1\"><select id=\"field-15\" name=\"hedefe_eitlenecek_para\"><option value=\"1\">1. par\u00e7a<\/option><option value=\"2\" selected>2. par\u00e7a<\/option><option value=\"3\">3. par\u00e7a<\/option><option value=\"4\">4. par\u00e7a<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4201\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Oran sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Cevap<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Her par\u00e7an\u0131n toplam i\u00e7indeki kesir ve y\u00fczde pay\u0131<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Ad\u0131mlar<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"4201\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Oran form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ A : B = C : D \\iff A \\times D = B \\times C \\]\n\\[ A = \\frac{B \\times C}{D}, \\quad B = \\frac{A \\times D}{C}, \\quad C = \\frac{A \\times D}{B}, \\quad D = \\frac{B \\times C}{A} \\]\n\\[ a_1 : a_2 : \\dots : a_n \\;\\xrightarrow{\\;\\div g\\;}\\; \\frac{a_1}{g} : \\frac{a_2}{g} : \\dots : \\frac{a_n}{g} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(A, B, C, D\\) \u2014 \\(A : B = C : D\\) orant\u0131s\u0131n\u0131n d\u00f6rt terimi. \u0130ki oran, \u00e7apraz \u00e7arp\u0131mlar\u0131 e\u015fit oldu\u011fu takdirde ger\u00e7ek bir orant\u0131 olu\u015fturur.<\/li>\n<li>\\(a_1, a_2, \\dots, a_n\\) \u2014 oran\u0131n par\u00e7alar\u0131 (2 ila 4 say\u0131)<\/li>\n<li>\\(g\\) \u2014 t\u00fcm par\u00e7alar\u0131n en b\u00fcy\u00fck ortak b\u00f6leni; oran\u0131 en basit bi\u00e7ime indirmek i\u00e7in kullan\u0131l\u0131r<\/li>\n<li>\\(k\\) \u2014 \u00f6l\u00e7ek katsay\u0131s\u0131; her par\u00e7ay\u0131 ayn\u0131 \\(k &gt; 0\\) ile \u00e7arpmak oran\u0131 e\u015fde\u011fer tutar<\/li>\n<\/ul>\n<p>\u0130lk sat\u0131r, bir orant\u0131y\u0131 \u00e7\u00f6zmenin \u00e7apraz \u00e7arp\u0131m kural\u0131d\u0131r. Son sat\u0131r ise sadele\u015ftirmeyi g\u00f6sterir: her par\u00e7ay\u0131 EBOB'a b\u00f6lmek, ayn\u0131 oran\u0131 koruyan en k\u00fc\u00e7\u00fck tam say\u0131l\u0131 oran\u0131 verir; ayr\u0131ca herhangi bir \\(k &gt; 0\\) i\u00e7in \\(k \\cdot a_1 : k \\cdot a_2 : \\dots\\) e\u015fde\u011fer bir orand\u0131r.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Oran \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> bir tarifta un ve \u015feker 3 : 4 oran\u0131nda kullan\u0131l\u0131yor. Elinizde 3 bardak un, 6 bardak \u015feker kald\u0131 \u2014 3 : 4 oran\u0131na uyan miktar ne olmal\u0131? Eksik terim \\(D\\) i\u00e7in \\(3 : 4 = 6 : D\\) orant\u0131s\u0131n\u0131 \u00e7\u00f6zmek istiyorsunuz.<\/p>\n<p>\\(D\\) alan\u0131n\u0131 bo\u015f b\u0131rak\u0131n, \\(A = 3\\), \\(B = 4\\), \\(C = 6\\) girin ve \u00e7apraz \u00e7arp\u0131m kural\u0131n\u0131 uygulay\u0131n:<\/p>\n<p>\\[ 3 \\times D = 4 \\times 6 \\quad\\Rightarrow\\quad D = \\frac{B \\times C}{A} = \\frac{4 \\times 6}{3} = 8 \\]<\/p>\n<p>Kontrol: \\(A \\times D = 3 \\times 8 = 24\\) ve \\(B \\times C = 4 \\times 6 = 24\\) \u2713<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(D = 8\\); tam orant\u0131 \u015fudur: \\(3 : 4 = 6 : 8\\). Yani 6 bardak \u015fekerle 3 : 4 oran\u0131n\u0131 korumak i\u00e7in 8 bardak un gerekir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><em>\u201cNe yapmak istiyorsunuz?\u201d<\/em> a\u00e7\u0131l\u0131r listesini a\u00e7\u0131n ve bir mod se\u00e7in: <em>A : B = C : D orant\u0131s\u0131n\u0131 \u00e7\u00f6z (eksik de\u011feri bul)<\/em>, <em>Oran\u0131 sadele\u015ftir<\/em> ya da <em>Oran\u0131 \u00f6l\u00e7eklendir<\/em>. Yaln\u0131zca etkin modun alanlar\u0131 g\u00f6r\u00fcnt\u00fclenir.<\/li>\n<li><strong>Orant\u0131y\u0131 \u00e7\u00f6zmek i\u00e7in:<\/strong> <em>Birinci terim (A)<\/em>, <em>\u0130kinci terim (B)<\/em>, <em>\u00dc\u00e7\u00fcnc\u00fc terim (C)<\/em> ve <em>D\u00f6rd\u00fcnc\u00fc terim (D)<\/em> alanlar\u0131n\u0131 doldurun. Tam olarak bir alan\u0131 bo\u015f b\u0131rak\u0131n \u2014 bu de\u011fer \u00e7apraz \u00e7arp\u0131mla bulunur. D\u00f6rd\u00fcn\u00fc de doldurursan\u0131z hesaplay\u0131c\u0131 orant\u0131n\u0131n do\u011fru olup olmad\u0131\u011f\u0131n\u0131 denetler.<\/li>\n<li><strong>Sadele\u015ftirmek i\u00e7in:<\/strong> <em>Oran par\u00e7alar\u0131 (2\u20134 say\u0131)<\/em> alan\u0131na 2\u20134 say\u0131 girin; aralar\u0131na iki nokta, bo\u015fluk, virg\u00fcl ya da noktal\u0131 virg\u00fcl koyun (\u00f6rn. <code>18 : 24 : 30<\/code>). <code>0.5 : 0.75<\/code> gibi ondal\u0131kl\u0131 de\u011ferler de kabul edilir.<\/li>\n<li><strong>\u00d6l\u00e7eklendirmek i\u00e7in:<\/strong> par\u00e7alar\u0131 girin, bir <em>\u00d6l\u00e7eklendirme y\u00f6ntemi<\/em> se\u00e7in \u2014 bir <em>Katsay\u0131<\/em> ile \u00e7arpma\/b\u00f6lme, bir par\u00e7ay\u0131 bir <em>Hedef de\u011fer<\/em>e zorlama (par\u00e7ay\u0131 <em>Hedefe e\u015fit olacak par\u00e7a<\/em> alan\u0131ndan se\u00e7in) ya da toplam\u0131 bir hedefe e\u015fitleme.<\/li>\n<li><em>Cevap<\/em> b\u00f6l\u00fcm\u00fcn\u00fc, her par\u00e7an\u0131n <em>toplam\u0131n kesri ve y\u00fczdesi<\/em> olarak g\u00f6sterildi\u011fi tabloyu ve ad\u0131m ad\u0131m <em>Ad\u0131mlar<\/em> b\u00f6l\u00fcm\u00fcn\u00fc okuyun.<\/li>\n<\/ol>\n<h2>Oran nedir ve sonu\u00e7 nas\u0131l okunur?<\/h2>\n<p>Oran, ayn\u0131 t\u00fcrden iki ya da daha fazla niceli\u011fi kar\u015f\u0131la\u015ft\u0131r\u0131r. \\(3 : 4\\) oran\u0131, birinci nicelikten her 3 birim i\u00e7in ikinci nicelikten 4 birim bulundu\u011funu s\u00f6yler. Oranlar ger\u00e7ek miktarlar\u0131 sabitlemez \u2014 3 : 4, 6 : 8 ve 30 : 40 ayn\u0131 ili\u015fkiyi anlat\u0131r, \u00e7\u00fcnk\u00fc her biri orijinal oran\u0131n pozitif bir katsay\u0131yla \u00e7arp\u0131lm\u0131\u015f bi\u00e7imidir.<\/p>\n<p><strong>Orant\u0131<\/strong> olan \\(A : B = C : D\\), iki oran\u0131n e\u015fde\u011fer oldu\u011funu bildirir. \\(A \\times D = B \\times C\\) \u00e7apraz \u00e7arp\u0131m kural\u0131 hem h\u0131zl\u0131 bir e\u015fde\u011ferlik testi sa\u011flar hem de eksik terimi bulman\u0131za yarar: bilinmeyenin kar\u015f\u0131s\u0131ndaki elinizdeki iki de\u011feri \u00e7arp\u0131n, kalan de\u011fere b\u00f6l\u00fcn. Bu kural birim d\u00f6n\u00fc\u015f\u00fcmlerinin, tarif \u00f6l\u00e7eklemenin, harita \u00f6l\u00e7eklerinin ve benzer \u00fc\u00e7gen problemlerinin arkas\u0131ndaki temel ara\u00e7t\u0131r.<\/p>\n<p>Bir oran, t\u00fcm par\u00e7alar\u0131 1'den b\u00fcy\u00fck ortak b\u00f6leni olmayan tam say\u0131lar oldu\u011funda <strong>en basit bi\u00e7imindedir<\/strong> \u2014 \u00f6rne\u011fin \\(18 : 24 : 30\\), \\(3 : 4 : 5\\) bi\u00e7imine iner. Hesaplay\u0131c\u0131 ayr\u0131ca her par\u00e7ay\u0131 toplam\u0131n kesri ve y\u00fczdesi olarak g\u00f6sterir; bu \u00e7o\u011fu zaman en yararl\u0131 yorumdur: \\(3 : 5\\) oran\u0131nda par\u00e7alar b\u00fct\u00fcn\u00fcn \\(3\/8\\) (%37,5) ve \\(5\/8\\) (%62,5) kadar\u0131n\u0131 olu\u015fturur.<\/p>\n<p>Oran\u0131 \u00f6l\u00e7ekledi\u011finizde her par\u00e7a ayn\u0131 \\(k\\) katsay\u0131s\u0131yla \u00e7arp\u0131l\u0131r. \\(3 : 5\\) i\u00e7in \u201ctoplam\u0131 40 yapmak\u201d, \\(k = 40 \/ 8 = 5\\) demektir; sonu\u00e7 olan \\(15 : 25\\) yine 40'a toplan\u0131r ve paylar\u0131 aynen korur. Paray\u0131, malzemeleri ya da i\u015f s\u00fcresini ki\u015filer aras\u0131nda orant\u0131l\u0131 b\u00f6l\u00fc\u015ft\u00fcr\u00fcrken de bu y\u00f6ntem kullan\u0131l\u0131r.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li>Bir oranda yaln\u0131zca 2 ila 4 par\u00e7a desteklenir. Par\u00e7alar negatif olamaz ve en az bir par\u00e7a s\u0131f\u0131rdan b\u00fcy\u00fck olmal\u0131d\u0131r.<\/li>\n<li>Orant\u0131y\u0131 \u00e7\u00f6zerken A, B, C, D alanlar\u0131ndan <strong>tam olarak birini<\/strong> bo\u015f b\u0131rak\u0131n; \u00e7apraz \u00e7arp\u0131mda bilinmeyenin kar\u015f\u0131s\u0131ndaki de\u011fer s\u0131f\u0131r olmamal\u0131d\u0131r, yoksa tek bir \u00e7\u00f6z\u00fcm bulunmaz.<\/li>\n<li>Ondal\u0131kl\u0131 par\u00e7alar, 10'un bir kuvvetiyle \u00e7arp\u0131larak tam say\u0131ya d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr. Ondal\u0131k basamak say\u0131s\u0131 en \u00e7ok 8 olsun, aksi takdirde hesaplay\u0131c\u0131 d\u00f6n\u00fc\u015f\u00fcm\u00fc tamamlayamaz.<\/li>\n<li>Sadele\u015ftirilmi\u015f sonu\u00e7lar yaln\u0131zca ekranda g\u00f6sterilirken yuvarlan\u0131r (4 anlaml\u0131 basamak); aritmetik el verdi\u011finde temel de\u011ferler kesindir.<\/li>\n<li>Bir oran\u0131 elle sadele\u015ftirmek i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/ebob-hesaplama\/\">EBOB hesaplay\u0131c\u0131<\/a>, b\u00f6lemeniz gereken en b\u00fcy\u00fck ortak b\u00f6leni bulur. E\u015fit toplamlara g\u00f6re b\u00fcy\u00fct\u00fcrken <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/ekok-hesaplama-en-kucuk-ortak-kat\/\">EKOK hesaplay\u0131c\u0131<\/a>, en k\u00fc\u00e7\u00fck ortak toplam\u0131 bulman\u0131za yard\u0131m eder.<\/li>\n<li>Orant\u0131lar <em>do\u011fru orant\u0131y\u0131<\/em> anlat\u0131r \u2014 iki nicelik sabit bir h\u0131zla birlikte artar. Arkas\u0131ndaki tam denklem i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/dogru-oranti\/\">do\u011fru orant\u0131<\/a> hesaplay\u0131c\u0131s\u0131na bak\u0131n.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A : B = C : D orant\u0131s\u0131ndaki eksik terimi bulun, 2\u20134 par\u00e7al\u0131 bir oran\u0131 en k\u00fc\u00e7\u00fck tam say\u0131 bi\u00e7imine sadele\u015ftirin ya da bir oran\u0131 verilen bir katsay\u0131ya, par\u00e7a de\u011ferine veya toplama g\u00f6re \u00f6l\u00e7eklendirin. De\u011ferlerinizi girin; sonu\u00e7 an\u0131nda g\u00f6r\u00fcn\u00fcr.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[16],"class_list":["post-4201","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-cebir"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4201","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=4201"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4201\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4201"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4201"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}