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The worksheet provides ten problems with repeating decimal values and requires each to be expressed as a ratio. An accompanying answer key demonstrates the fraction conversion process by using algebraic steps such as scaling and subtraction to obtain an equivalent numerator and denominator, followed by simplified fractional results.",{"@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/converting-repeating-decimals-to-fractions/463125/",{"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/converting-repeating-decimals-to-fractions/463125.png","ImageObject",300,407,{"name":92,"@type":93},"Jiven","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask you to do with repeating decimals?","Question",{"text":112,"@type":113},"Rewrite each infinitely repeating decimal as a rational number (a fraction).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many decimal problems are included?",{"text":117,"@type":113},"There are 10 problems to convert into fractions.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can you find the correct fraction answers?",{"text":121,"@type":113},"The document includes an “Answer Key” section with the fraction results.","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},463125,1790766113,{"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":81,"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},1099513958607,"https://ap-avatar.wpscdn.com/avatar/100002390cf8733938c?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778829742770036399","Converting Repeating Decimals to Fractions  \nName:  \n\n| Rewrite each infinitely repeating decimal as a rational number (fraction).\u003Cbr>1) 0.55135 2) 0.3041 \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>3) 35.139 4) 5.74 \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>5) 8.15151 6) 5.5459 \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>7) 6.4132 8) 3.289 \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>9) 0.531 10) 0.831 \u003Cbr>\u003Cbr>\u003Cbr>|  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nConverting Repeating Decimals to Fractions  \nName: Answer Key  \n\n| Rewrite each infinitely repeating decimal as a rational number (fraction). |  |  |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3. |  | Answers\u003Cbr> 54,584 \u003Cbr>99,000 |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 0.55135  \u003Cbr>f = 0.55135   100,000f=55135.35 - 1,000f=00551.35 99000f=54584 f = 54584⁄99000 | 2) 0.3041  \u003Cbr>f = 0.3041   10,000f=3041.41 - 100f=0030.41 9900f=3011 f = 3011⁄9900 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  3,011 \u003Cbr>9,900 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  34,788 \u003Cbr>990 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 517 |  |  |  |  |\n| 3) 35.139  \u003Cbr>f = 35.139   1,000f=35139.39 - 10f=00351.39 990f=34788 f = 34788⁄990 | 4) | \u003Cbr>5.74\u003Cbr>f = 5.74  \u003Cbr>100f=574.4\u003Cbr>- 10f=057.4\u003Cbr>90f=517 f = 517⁄90 |  |  |  |  | 4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | 90 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  807,000 \u003Cbr>99,000 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  49,914 \u003Cbr>9,000 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  63,491 \u003Cbr>9,900 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 2,961 |  |  |  |  |\n| 5) 8.15151  \u003Cbr>f = 8.15151   100,000f=815151.51 - 1,000f=008151.51 99000f=807000 | 6) | \u003Cbr>5.5459\u003Cbr>f = 5.5459  \u003Cbr>10,000f=55459.9\u003Cbr>- 1,000f=05546.9\u003Cbr>9000f=49914 |  |  |  |  | 8.\u003Cbr>9.\u003Cbr>10. |  | 900 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  526 \u003Cbr>990 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  748 \u003Cbr>900 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| f = 807000⁄99000 |  | f = 49914⁄9000 |  |  |  |  |  |  |  |  |  |  |  |\n| 7) 6.4132  \u003Cbr>f = 6.4132 | 8) | \u003Cbr>3.289\u003Cbr>f = 3.289 |  |  |  |  |  |  |  |  |  |  |  |\n| 10,000f=64132.32 - 100f=00641.32 |  | 1,000f=3289.9\u003Cbr>- 100f=0329.9 |  |  |  |  |  |  |  |  |  |  |  |\n| 9900f=63491 |  | 900f=2961 |  |  |  |  |  |  |  |  |  |  |  |\n| f = 63491⁄9900 |  | f = 2961⁄900 |  |  |  |  |  |  |  |  |  |  |  |\n| 9) 0.531  \u003Cbr>f = 0.531 | 10) | \u003Cbr>0.831\u003Cbr>f = 0.831 |  |  |  |  |  |  |  |  |  |  |  |\n| 1,000f=531.31 - 10f=005.31 |  | 1,000f=831.1\u003Cbr>- 100f=083.1 |  |  |  |  |  |  |  |  |  |  |  |\n| 990f=526 |  | 900f=748 |  |  |  |  |  |  |  |  |  |  |  |\n| f = 526⁄990 |  | f = 748⁄900 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 | 50 | 40 |  | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nConverting Repeating Decimals to Fractions  \nName:  \n\n| Rewrite each infinitely repeating decimal as a rational number (fraction). | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr> 3,011 \u003Cbr>9,900  517 \u003Cbr>90\u003Cbr> 49,914  9,000\u003Cbr> 807,000  99,000\u003Cbr> 54,584  99,000\u003Cbr> 34,788  990 |  |  |  |  |  |  |\n| 1) 0.55135 2) 0.3041 \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>3) 35.139 4) 5.74 \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>5) 8.15151 6) 5.5459 \u003Cbr>\u003Cbr>\u003Cbr>|  |  |  |  |  |  |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1","cbCaidX8N8ySzuin","https://ap.wps.com/l/cbCaidX8N8ySzuin","pdf",49743,"English","# Problems\n## Rewrite as Fractions\n# Answer Key","[{\"question\":\"What does the worksheet ask you to do with repeating decimals?\",\"answer\":\"Rewrite each infinitely repeating decimal as a rational number (a fraction).\"},{\"question\":\"How many decimal problems are included?\",\"answer\":\"There are 10 problems to convert into fractions.\"},{\"question\":\"Where can you find the correct fraction answers?\",\"answer\":\"The document includes an “Answer Key” section with the fraction results.\"}]","Converting Repeating Decimals to Fractions | PDF"]