{"id":16698,"date":"2026-05-01T23:36:07","date_gmt":"2026-05-01T17:36:07","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/convert-repeating-decimal-to-fraction-13\/"},"modified":"2026-05-01T23:36:07","modified_gmt":"2026-05-01T17:36:07","slug":"convert-repeating-decimal-to-fraction-13","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/convert-repeating-decimal-to-fraction-13\/","title":{"rendered":"Convert Repeating Decimal To Fraction"},"content":{"rendered":"<p>Express the repeating decimal 0.363636&#8230; (with &#8217;36&#8217; repeating) as a fraction in simplest form.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>4\/11<\/li>\n<li>1\/3<\/li>\n<li>33\/100<\/li>\n<li>11\/30<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2506,2609],"subject":[1425],"education_level":[1896],"class_list":["post-16698","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-fractions","topic-recurring-decimals","subject-mathematics","education_level-hsc"],"mcq_note":"Let x = 0.363636..., then 100x = 36.3636... and subtracting gives 99x = 36, so x = 36\/99 = 4\/11 in simplest form.","mcq_options":[{"right":"yes","answer":"4\/11"},{"right":"no","answer":"1\/3"},{"right":"no","answer":"33\/100"},{"right":"no","answer":"11\/30"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2506,"title":"Fractions","slug":"fractions"},{"id":2609,"title":"Recurring Decimals","slug":"recurring-decimals"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16698","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=16698"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16698"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16698"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16698"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16698"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}