Para resolver el problema, vamos a buscar el menor n\u00famero de trompos que Juan debe agregar para repartirlos de manera equitativa entre sus 9 sobrinos. Lo primero es dividir los 876 trompos entre 9, para ver si el resultado es exacto o no.<\/p>\n\n\n\n
Realizamos la divisi\u00f3n:876\u00f79=97 con un residuo de 3.876 \\div 9 = 97 \\text{ con un residuo de } 3.876\u00f79=97 con un residuo de 3.<\/p>\n\n\n\n
Esto significa que, al dividir 876 trompos entre 9, el resultado no es exacto; hay un residuo de 3. Esto implica que, si Juan quiere repartir los trompos de manera equitativa entre sus 9 sobrinos sin que sobre ninguno, no puede repartir los 876 trompos sin agregar algunos m\u00e1s.<\/p>\n\n\n\n
Entonces, el n\u00famero de trompos que debe agregar es el n\u00famero necesario para completar una divisi\u00f3n exacta. El residuo es 3, por lo que Juan deber\u00e1 agregar 6 trompos para que el total sea divisible por 9. Si agrega 6 trompos, tendr\u00e1:876+6=882 trompos.876 + 6 = 882 \\text{ trompos}.876+6=882 trompos.<\/p>\n\n\n\n
Ahora, verificamos:882\u00f79=98.882 \\div 9 = 98.882\u00f79=98.<\/p>\n\n\n\n
Esto da una divisi\u00f3n exacta. Por lo tanto, el menor n\u00famero de trompos que Juan debe agregar es 6 trompos<\/strong>.<\/p>\n\n\n\n Explicaci\u00f3n adicional<\/strong>: En problemas de divisibilidad, lo que se busca es que el n\u00famero total de objetos (en este caso, trompos) sea divisible de manera exacta por el n\u00famero de personas (en este caso, sobrinos). Si el residuo de la divisi\u00f3n es 0, entonces ya se puede repartir de manera equitativa. Si no es 0, se necesita agregar la cantidad suficiente para que la divisi\u00f3n sea exacta, que en este caso fueron 6 trompos adicionales.<\/p>\n\n\n\n Juan va a repartir en partes iguales, sus 876 trompos entre sus 9 sobrinos. Si no quiere que le falte ni le sobre ning\u00fan trompo, \u00bfCu\u00e1l es el menor n\u00famero de trompos que debe agregar a los que ya tiene The Correct Answer and Explanation is: Para resolver el problema, vamos a buscar el menor […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244285","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244285","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244285"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244285\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244285"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244285"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-126.jpeg\")
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