[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-463237-105":59,"doc-detail-463237-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","finding-repeating-decimals-math-worksheet-determine-r-or-t","Finding Repeating Decimals - Math Worksheet - Determine R or T","","Worksheet and answer-key materials focused on converting fractions and division expressions into decimals and classifying them as repeating (R) or terminating (T). The guide explains the rule for terminating decimals: a simplified denominator whose prime factors include only 2 and 5. It also explains that any prime factor other than 2 or 5 produces a repeating decimal. A set of numbered problems is provided, with corresponding R/T classifications.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/finding-repeating-decimals-math-worksheet-determine-r-or-t/463237/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/finding-repeating-decimals-math-worksheet-determine-r-or-t/463237.png","ImageObject",300,407,{"name":92,"@type":93},"Logic","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine whether a fraction becomes a terminating decimal?","Question",{"text":112,"@type":113},"Reduce the fraction, then factor the simplified denominator. If its prime factors contain only 2s and/or 5s, the decimal terminates.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"When will a decimal representation be repeating?",{"text":117,"@type":113},"A repeating decimal occurs if the simplified denominator contains any prime factor other than 2 or 5.",{"name":119,"@type":110,"acceptedAnswer":120},"Which examples in the worksheet are classified as repeating (R) or terminating (T)?",{"text":121,"@type":113},"The provided list of problems is assigned an R or T label in the answer key, including items like 2/3 as R and 19 ÷ 8 as T.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},463237,1790766287,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39,"preview_page_count":4},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","Finding Repeating Decimals  \nName:  \n\n| Determine if each problem when converted to a decimal will result in a repeating (R) or |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>terminating (T) decimal.\u003Cbr>A fraction will result in a terminating decimal if the prime factors of the simplified denominator contain only 2s or 5s (or only 2s and 5s) .\u003Cbr>6⁄40 = 3⁄20 = 2×2×5 = 0.15\u003Cbr>A fraction will result in a repeating decimal if the prime factors of the simplified denominator contain any prime factor other than 2 or 5.\u003Cbr>5⁄42 = 2×3×7 = 0.1190476 |  |  |  |  |  |  |  | | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |  |\n| \u003Cbr>1) 2⁄3 =   |  |  |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |\n| 2) 19 ÷ 8 =   |  |  |  |  |  |  |  |  | 7.   |  |  |  |  |  |\n| 3) 86 ÷ 20 =   |  |  |  |  |  |  |  |  | 8.   |  |  |  |  |  |\n| 4) 102 ÷ 19 =   |  |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 5) 135 ÷ 17 =   |  |  |  |  |  |  |  |  | 10.   |  |  |  |  |  |\n| 6) 5⁄27 = |  |  |  |  |  |  |  |  | 11.   |  |  |  |  |  |\n| 7) 11⁄13 =   |  |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 8) 164 ÷ 16 = |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) 11⁄30 =  \u003Cbr>10) 79 ÷ 24 = |  |  |  |  |  |  |  |  | 13.  \u003Cbr>14.   |  |  |  |  |  |\n| 11) 2⁄15 = | |  |  |  |  |  |  |  | 15.   |  |  |  |  |  |\n| 12) 243 ÷ 26 = |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) 3⁄18 =   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) 8⁄22 =   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) 144 ÷ 14 = |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-15 | 93 | 87 | 80 | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  |  |  | 27 | 20 | 13 | 7 | 0 |  |  |  |  |  |\n\nFinding Repeating Decimals  \nName: Answer Key  \n\n| Determine if each problem when converted to a decimal will result in a repeating (R) or |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>terminating (T) decimal.\u003Cbr>A fraction will result in a terminating decimal if the prime factors of the simplified denominator contain only 2s or 5s (or only 2s and 5s) .\u003Cbr>6⁄40 = 3⁄20 = 2×2×5 = 0.15\u003Cbr>A fraction will result in a repeating decimal if the prime factors of the simplified denominator contain any prime factor other than 2 or 5.\u003Cbr>5⁄42 = 2×3×7 = 0.1190476 |  |  |  |  |  |  | | 1.  R \u003Cbr>2.  T \u003Cbr>3.  T \u003Cbr>4.  R \u003Cbr>5.  R  |  |  |  |  |  |  |\n| 1) 2⁄3 =  3 \u003Cbr>2) 19 ÷ 8 =  2×2×2 \u003Cbr>3) 86 ÷ 20 =  2×5 \u003Cbr>4) 102 ÷ 19 =  19 \u003Cbr>5) 135 ÷ 17 =  17 \u003Cbr>6) 5⁄27 =  3×3×3 \u003Cbr>7) 11⁄13 =  13 \u003Cbr>8) 164 ÷ 16 =  2×2 \u003Cbr>9) 11⁄30 =  2×3×5 \u003Cbr>10) 79 ÷ 24 =  2×2×2×3 \u003Cbr>11) 2⁄15 = 3×5 |  |  |  |  |  |  |  | 6.  R \u003Cbr>7.  R \u003Cbr>8.  T \u003Cbr>9.  R \u003Cbr>10.  R \u003Cbr>11.  R \u003Cbr>12.  R \u003Cbr>13.  R \u003Cbr>14.  R \u003Cbr>15.  R  |  |  |  |  |  |  |\n| 12) 243 ÷ 26 = 2×13 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) 3⁄18 =  2×3  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) 8⁄22 =  11  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) 144 ÷ 14 = 7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-15 | 93 | 87 | 80 | 73 |  | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  |  | 27 | 20 | 13 | 7 |  | 0 |  |  |  |  |  |\n\nFinding Repeating Decimals  \nName:  \n\n| Determine if each problem when converted to a decimal will result in a repeating (R) or\u003Cbr>\u003Cbr>terminating (T) decimal.\u003Cbr>A fraction will result in a terminating decimal if the prime factors of the simplified denominator contain only 2s or 5s (or only 2s and 5s) .\u003Cbr>6⁄40 = 3⁄20 = 2×2×5 = 0.15\u003Cbr>A fraction will result in a repeating decimal if the prime fact","cbCaiaeQn9iyIIAP","https://ap.wps.com/l/cbCaiaeQn9iyIIAP","pdf",49223,"English","# Determine R or T (Repeating or Terminating)\n## Rule for Terminating Decimals\n## Problems to Classify","[{\"question\":\"How do you determine whether a fraction becomes a terminating decimal?\",\"answer\":\"Reduce the fraction, then factor the simplified denominator. If its prime factors contain only 2s and/or 5s, the decimal terminates.\"},{\"question\":\"When will a decimal representation be repeating?\",\"answer\":\"A repeating decimal occurs if the simplified denominator contains any prime factor other than 2 or 5.\"},{\"question\":\"Which examples in the worksheet are classified as repeating (R) or terminating (T)?\",\"answer\":\"The provided list of problems is assigned an R or T label in the answer key, including items like 2/3 as R and 19 ÷ 8 as T.\"}]","Finding Repeating Decimals - Math Worksheet - Determine R or T | PDF"]