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Category:Rational numbers - Wikipedia
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Available in 35 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-35" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">35 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D8%B5%D9%86%D9%8A%D9%81:%D8%A3%D8%B9%D8%AF%D8%A7%D8%AF_%D9%83%D8%B3%D8%B1%D9%8A%D8%A9" title="تصنيف:أعداد كسرية – Arabic" lang="ar" hreflang="ar" data-title="تصنيف:أعداد كسرية" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Categor%C3%ADa:Numeros_racionals" title="Categoría:Numeros racionals – Aragonese" lang="an" hreflang="an" data-title="Categoría:Numeros racionals" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%B7%E0%A6%AF%E0%A6%BC%E0%A6%B6%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%A3%E0%A7%80:%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A6%A6_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="বিষয়শ্রেণী:মূলদ সংখ্যা – Bangla" lang="bn" hreflang="bn" data-title="বিষয়শ্রেণী:মূলদ সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kategorija:Racionalni_brojevi" title="Kategorija:Racionalni brojevi – Bosnian" lang="bs" hreflang="bs" data-title="Kategorija:Racionalni brojevi" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Categoria:Nombres_racionals" title="Categoria:Nombres racionals – Catalan" lang="ca" hreflang="ca" data-title="Categoria:Nombres racionals" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kategorie:Racion%C3%A1ln%C3%AD_%C4%8D%C3%ADsla" title="Kategorie:Racionální čísla – Czech" lang="cs" hreflang="cs" data-title="Kategorie:Racionální čísla" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CE%B1%CF%84%CE%B7%CE%B3%CE%BF%CF%81%CE%AF%CE%B1:%CE%A1%CE%B7%CF%84%CE%BF%CE%AF_%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CE%BF%CE%AF" title="Κατηγορία:Ρητοί αριθμοί – Greek" lang="el" hreflang="el" data-title="Κατηγορία:Ρητοί αριθμοί" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Categoria:N%C3%B9mer_rasion%C3%AAl" title="Categoria:Nùmer rasionêl – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Categoria:Nùmer rasionêl" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Categor%C3%ADa:N%C3%BAmeros_racionales" title="Categoría:Números racionales – Spanish" lang="es" hreflang="es" data-title="Categoría:Números racionales" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D8%AF%D9%87:%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF_%DA%AF%D9%88%DB%8C%D8%A7" title="رده:اعداد گویا – Persian" lang="fa" hreflang="fa" data-title="رده:اعداد گویا" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B6%84%EB%A5%98:%EC%9C%A0%EB%A6%AC%EC%88%98" title="분류:유리수 – Korean" lang="ko" hreflang="ko" data-title="분류:유리수" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80:%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A5%87%E0%A4%AF_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%8F%E0%A4%81" title="श्रेणी:परिमेय संख्याएँ – Hindi" lang="hi" hreflang="hi" data-title="श्रेणी:परिमेय संख्याएँ" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Categoria:Numeri_razionali" title="Categoria:Numeri razionali – Italian" lang="it" hreflang="it" data-title="Categoria:Numeri razionali" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%99%E1%83%90%E1%83%A2%E1%83%94%E1%83%92%E1%83%9D%E1%83%A0%E1%83%98%E1%83%90:%E1%83%A0%E1%83%90%E1%83%AA%E1%83%98%E1%83%9D%E1%83%9C%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="კატეგორია:რაციონალური რიცხვი – Georgian" lang="ka" hreflang="ka" data-title="კატეგორია:რაციონალური რიცხვი" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Categoria:Numeri_rationales" title="Categoria:Numeri rationales – Latin" lang="la" hreflang="la" data-title="Categoria:Numeri rationales" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kateg%C3%B3ria:Racion%C3%A1lis_sz%C3%A1mok" title="Kategória:Racionális számok – Hungarian" lang="hu" hreflang="hu" data-title="Kategória:Racionális számok" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:%D0%A0%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%B1%D1%80%D0%BE%D0%B5%D0%B2%D0%B8" title="Категорија:Рационални броеви – Macedonian" lang="mk" hreflang="mk" data-title="Категорија:Рационални броеви" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/Category:%E6%9C%89%E7%90%86%E6%95%B0" title="Category:有理数 – Japanese" lang="ja" hreflang="ja" data-title="Category:有理数" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kategori:Rasjonale_tall" title="Kategori:Rasjonale tall – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Kategori:Rasjonale tall" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kategori:Rasjonale_tal" title="Kategori:Rasjonale tal – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Kategori:Rasjonale tal" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Categoria:N%C3%BAmeros_racionais" title="Categoria:Números racionais – Portuguese" lang="pt" hreflang="pt" data-title="Categoria:Números racionais" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Categorie:Numere_ra%C8%9Bionale" title="Categorie:Numere raționale – Romanian" lang="ro" hreflang="ro" data-title="Categorie:Numere raționale" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kateg%C3%B3ria:Racion%C3%A1lne_%C4%8D%C3%ADsla" title="Kategória:Racionálne čísla – Slovak" lang="sk" hreflang="sk" data-title="Kategória:Racionálne čísla" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%BE%DB%86%D9%84:%DA%98%D9%85%D8%A7%D8%B1%DB%95_%DA%95%DB%8E%DA%98%DB%95%DB%8C%DB%8C%DB%8C%DB%95%DA%A9%D8%A7%D9%86" title="پۆل:ژمارە ڕێژەیییەکان – Central Kurdish" lang="ckb" hreflang="ckb" data-title="پۆل:ژمارە ڕێژەیییەکان" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:%D0%A0%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%B1%D1%80%D0%BE%D1%98%D0%B5%D0%B2%D0%B8" title="Категорија:Рационални бројеви – Serbian" lang="sr" hreflang="sr" data-title="Категорија:Рационални бројеви" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kategorija:Racionalni_brojevi" title="Kategorija:Racionalni brojevi – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Kategorija:Racionalni brojevi" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Luokka:Rationaaliluvut" title="Luokka:Rationaaliluvut – Finnish" lang="fi" hreflang="fi" data-title="Luokka:Rationaaliluvut" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kategori:Rationella_tal" title="Kategori:Rationella tal – Swedish" lang="sv" hreflang="sv" data-title="Kategori:Rationella tal" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Kategorya:Mga_makatwirang_bilang" title="Kategorya:Mga makatwirang bilang – Tagalog" lang="tl" hreflang="tl" data-title="Kategorya:Mga makatwirang bilang" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AB%E0%B8%A1%E0%B8%A7%E0%B8%94%E0%B8%AB%E0%B8%A1%E0%B8%B9%E0%B9%88:%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99%E0%B8%95%E0%B8%A3%E0%B8%A3%E0%B8%81%E0%B8%A2%E0%B8%B0" title="หมวดหมู่:จำนวนตรรกยะ – Thai" lang="th" hreflang="th" data-title="หมวดหมู่:จำนวนตรรกยะ" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kategori:Rasyonel_say%C4%B1lar" title="Kategori:Rasyonel sayılar – Turkish" lang="tr" hreflang="tr" data-title="Kategori:Rasyonel sayılar" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B2%D9%85%D8%B1%DB%81:%D9%86%D8%A7%D8%B7%D9%82_%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF" title="زمرہ:ناطق اعداد – Urdu" lang="ur" hreflang="ur" data-title="زمرہ:ناطق اعداد" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Th%E1%BB%83_lo%E1%BA%A1i:S%E1%BB%91_h%E1%BB%AFu_t%E1%BB%89" title="Thể loại:Số hữu tỉ – Vietnamese" lang="vi" hreflang="vi" data-title="Thể loại:Số hữu tỉ" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/%E1%BA%B8%CC%80ka:%C3%80w%E1%BB%8Dn_n%E1%BB%8D%CC%81mb%C3%A0_on%C3%AD%C3%ACp%C3%ADn" title="Ẹ̀ka:Àwọn nọ́mbà oníìpín – Yoruba" lang="yo" hreflang="yo" data-title="Ẹ̀ka:Àwọn nọ́mbà oníìpín" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Category:%E6%9C%89%E7%90%86%E6%95%B8" title="Category:有理數 – Chinese" lang="zh" hreflang="zh" data-title="Category:有理數" data-language-autonym="中文" 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data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Rational_numbers" class="extiw" title="commons:Category:Rational numbers">Rational numbers</a></span>.</div></div> </div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">The main article for this <a href="/wiki/Help:Categories" title="Help:Categories">category</a> is <b><a href="/wiki/Rational_number" title="Rational number">Rational number</a></b>.</div> <p>This category represents all <b><a href="/wiki/Rational_number" title="Rational number">rational numbers</a></b>, that is, those <a href="/wiki/Real_number" title="Real number">real numbers</a> which can be represented in the form: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {a}{b}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mi>b</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a}{b}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fbb66e57f89debc3cde3213de12228971148a93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:2.066ex; height:4.843ex;" alt="{\displaystyle {\frac {a}{b}}}"></span> ...where <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> are <a href="/wiki/Integer" title="Integer">integers</a> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> is not equal to <a href="/wiki/0_(number)" class="mw-redirect" title="0 (number)">zero</a>. All integers are rational, including zero. </p> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐75c465f4c6‐2ckmm Cached time: 20241125135708 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.076 seconds Real time usage: 0.154 seconds Preprocessor visited node count: 168/1000000 Post‐expand include size: 3180/2097152 bytes Template argument size: 292/2097152 bytes Highest expansion depth: 14/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2245/5000000 bytes Lua time usage: 0.043/10.000 seconds Lua memory usage: 1243188/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 98.956 1 -total 77.52% 76.708 1 Template:Commons_category 75.32% 74.536 1 Template:Sister_project 73.21% 72.443 1 Template:Side_box 32.89% 32.542 2 Template:If_then_show 22.39% 22.154 1 Template:Cat_main --> <!-- Saved in parser cache with key enwiki:pcache:1921992:|#|:idhash:canonical and timestamp 20241125135708 and revision id 1126772098. Rendering was triggered because: page-view --> </div><div class="mw-category-generated" lang="en" dir="ltr"><div id="mw-subcategories"> <h2>Subcategories</h2> <p>This category has the following 3 subcategories, out of 3 total. </p><div lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-category"><div class="mw-category-group"><h3>F</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Floating_point" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Floating_point" title="Category:Floating point">Floating point</a></bdi> <span title="Contains 1 subcategory, 46 pages, and 0 files" dir="ltr">(1 C, 46 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Fractions_(mathematics)" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Fractions_(mathematics)" title="Category:Fractions (mathematics)">Fractions (mathematics)</a></bdi> <span title="Contains 2 subcategories, 21 pages, and 0 files" dir="ltr">(2 C, 21 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>I</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Integers" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Integers" title="Category:Integers">Integers</a></bdi> <span title="Contains 24 subcategories, 449 pages, and 0 files" dir="ltr">(24 C, 449 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div></div></div> </div><div id="mw-pages"> <h2><span class="anchor" id="Pages_in_category"></span>Pages in category "Rational numbers"</h2> <p>The following 12 pages are in this category, out of 12 total. <a href="/wiki/Wikipedia:FAQ/Categorization#Why_might_a_category_list_not_be_up_to_date?" title="Wikipedia:FAQ/Categorization">This list may not reflect recent changes</a>. </p><div lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-category mw-category-columns"><div class="mw-category-group"><h3> </h3> <ul><li><a href="/wiki/Rational_number" title="Rational number">Rational number</a></li></ul></div><div class="mw-category-group"><h3>D</h3> <ul><li><a href="/wiki/Dedekind_cut" title="Dedekind cut">Dedekind cut</a></li> <li><a href="/wiki/Dyadic_rational" title="Dyadic rational">Dyadic rational</a></li></ul></div><div class="mw-category-group"><h3>H</h3> <ul><li><a href="/wiki/Half-integer" title="Half-integer">Half-integer</a></li> <li><a href="/wiki/Hundredth" title="Hundredth">Hundredth</a></li></ul></div><div class="mw-category-group"><h3>M</h3> <ul><li><a href="/wiki/Millionth" title="Millionth">Millionth</a></li> <li><a href="/wiki/Mil%C3%BC" title="Milü">Milü</a></li></ul></div><div class="mw-category-group"><h3>N</h3> <ul><li><a href="/wiki/Niven%27s_theorem" title="Niven's theorem">Niven's theorem</a></li></ul></div><div class="mw-category-group"><h3>O</h3> <ul><li><a href="/wiki/One_half" title="One half">One half</a></li></ul></div><div class="mw-category-group"><h3>R</h3> <ul><li><a href="/wiki/Reciprocals_of_primes" title="Reciprocals of primes">Reciprocals of primes</a></li></ul></div><div class="mw-category-group"><h3>S</h3> <ul><li><a href="/wiki/Superparticular_ratio" title="Superparticular ratio">Superparticular ratio</a></li> <li><a href="/wiki/Superpartient_ratio" title="Superpartient ratio">Superpartient ratio</a></li></ul></div></div></div> </div></div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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