{"id":2256,"date":"2026-05-03T20:54:41","date_gmt":"2026-05-03T20:54:41","guid":{"rendered":"https:\/\/mcqacademy.com\/ar\/mcq\/convert-repeating-decimal-to-fraction-10\/"},"modified":"2026-05-03T20:54:41","modified_gmt":"2026-05-03T20:54:41","slug":"convert-repeating-decimal-to-fraction-10","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/ar\/mcq\/convert-repeating-decimal-to-fraction-10\/","title":{"rendered":"\u062a\u062d\u0648\u064a\u0644 \u0639\u062f\u062f \u0639\u0634\u0631\u064a \u062f\u0648\u0631\u064a \u0625\u0644\u0649 \u0643\u0633\u0631"},"content":{"rendered":"<p>\u0639\u0628\u0651\u0631 \u0639\u0646 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0639\u0634\u0631\u064a \u0627\u0644\u062f\u0648\u0631\u064a 0.363636&#8230; (0.(36)) \u0641\u064a \u0635\u0648\u0631\u0629 \u0643\u0633\u0631 \u0645\u0628\u0633\u0637.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>4\/11<\/li>\n<li>33\/99<\/li>\n<li>12\/33<\/li>\n<li>11\/30<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[905,715,724],"subject":[123],"education_level":[5],"class_list":["post-2256","mcq","type-mcq","status-publish","hentry","topic-decimal-representation","topic-arithmetic-number-system","topic-fractions","subject-mathematics","education_level-hsc"],"mcq_note":"\u0644\u0646\u0641\u0631\u0636 \u0623\u0646 x = 0.363636.... \u0644\u0623\u0646 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u062f\u0648\u0631\u064a \u0645\u0643\u0648\u0651\u0646 \u0645\u0646 \u0631\u0642\u0645\u064a\u0646\u060c \u0646\u0636\u0631\u0628 \u0641\u064a 100: 100x = 36.363636.... \u0627\u0644\u0622\u0646 \u0646\u0637\u0631\u062d \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629: 100x - x = 36.363636... - 0.363636...\u060c \u0641\u064a\u0643\u0648\u0646 99x = 36. \u0625\u0630\u0646 x = 36\/99\u060c \u0648\u0647\u0630\u0627 \u064a\u0628\u0633\u0637 \u0625\u0644\u0649 4\/11. \u0644\u0630\u0644\u0643 \u0627\u0644\u0643\u0633\u0631 \u0647\u0648 4\/11.","mcq_options":[{"right":"yes","answer":"4\/11"},{"right":"no","answer":"33\/99"},{"right":"no","answer":"12\/33"},{"right":"no","answer":"11\/30"}],"multi_answers":"no","subject_terms":[{"id":123,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":905,"title":"\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0639\u0634\u0631\u064a","slug":"decimal-representation"},{"id":715,"title":"\u0627\u0644\u062d\u0633\u0627\u0628 \u0648\u0646\u0638\u0627\u0645 \u0627\u0644\u0623\u0639\u062f\u0627\u062f","slug":"arithmetic-number-system"},{"id":724,"title":"\u0627\u0644\u0643\u0633\u0648\u0631","slug":"fractions"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq\/2256","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/comments?post=2256"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/media?parent=2256"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/topic?post=2256"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/subject?post=2256"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/education_level?post=2256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}