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Students are asked to simplify given ratio pairs such as 32:8, 36:30, 24:21, 6:14, 15:12, and more, including examples like 72:9 reduced to 8:1. The worksheet provides a complete answer key listing the reduced forms for each numbered item from 1 through 20, supporting self-check and review.",{"@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/reducing-ratios-answer-key/480999/",{"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/reducing-ratios-answer-key/480999.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","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},"What does “reduce each ratio to its lowest form” mean?","Question",{"text":112,"@type":113},"It means simplify the ratio so the two numbers have no common factor other than 1, while keeping the same relationship.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Is 72:9 reduced correctly as 8:1?",{"text":117,"@type":113},"Yes. Dividing both numbers by 9 gives 72÷9:9÷9 = 8:1.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can I find the solutions for problems 1 through 20?",{"text":121,"@type":113},"The document includes an “Answers” section that lists the reduced ratios for each item from 1 to 20.","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},480999,1792876329,{"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":143,"read_time":39},24464137899374,"https://us-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Reducing Ratios  \nName:  \nReduce each ratio to its lowest form.  \nEx) 72 : 9 = 8:1 1) 32 : 8 = 2) 36 : 30 =  \n3) 24 : 21 = 4) 6 : 14 = 5) 15 : 12 =  \n6) 16 : 72 = 7) 10 : 90 = 8) 2 : 6 =  \n9) 48 : 30 = 10) 30 : 21 = 11) 20 : 50 =  \n12) 56 : 40 = 13) 45 : 25 = 14) 4 : 20 =  \n15) 42 : 24 = 16) 49 : 63 = 17) 10 : 70 =  \n18) 36 : 6 = 19) 9 : 30 = 20) 14 : 49 =  \nAnswers  \nEx. 8:1  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nReducing Ratios  \nName: Answer Key  \nReduce each ratio to its lowest form.  \nEx) 72 : 9 = 8:1 1) 32 : 8 = 4:1 2) 36 : 30 = 6:5  \n3) 24 : 21 = 8:7 4) 6 : 14 = 3:7 5) 15 : 12 = 5:4  \n6) 16 : 72 = 2:9 7) 10 : 90 = 1:9 8) 2 : 6 = 1:3  \n9) 48 : 30 = 8:5 10) 30 : 21 = 10:7 11) 20 : 50 = 2:5  \n12) 56 : 40 = 7:5 13) 45 : 25 = 9:5 14) 4 : 20 = 1:5  \n15) 42 : 24 = 7:4 16) 49 : 63 = 7:9 17) 10 : 70 = 1:7  \n18) 36 : 6 = 6:1 19) 9 : 30 = 3:10 20) 14 : 49 = 2:7  \nAnswers  \nEx. 8:1  \n1. 4:1 2. 6:5 3. 8:7 4. 3:7 5. 5:4 6. 2:9 7. 1:9 8. 1:3 9. 8:5 10. 10:7 11. 2:5 12. 7:5 13. 9:5 14. 1:5 15. 7:4 16. 7:9 17. 1:7 18. 6:1 19. 3:10  \n20. 2:7  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nReducing Ratios  \nName:  \n\n| Reduce each ratio to its lowest form. |  |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Ex)\u003Cbr>3) | 72 : 9 =  8:1 \u003Cbr>24 : 21 = |  |  | 1) 32 : 8 =\u003Cbr>4) 6 : 14 = | 2) 36 : 30 =\u003Cbr>5) 15 : 12 = |  |  |  |  |  |  | Ex.  8:1 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |  |  |  |\n| 6) | 16 : 72 | = | 7) 10 : 90 = |  |  | 8) 2 : 6 = |  |  |  |  |  | 4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |\n| 9) | 48 : 30 | = |   10) 30 : 21 =   |  |  | 11) | 20 : 50 =   |  |  |  |  | 8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.   |  |  |  |  |  |  |\n| 12) | 56 : 40 | = |  |  |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math |  | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  | 9 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |","cbCaiux9Ff2O2ndW","https://ap.wps.com/l/cbCaiux9Ff2O2ndW","pdf",44126,"English","# Reduce each ratio to its lowest form\n## Example\n## Problems (1-20)\n## Answers (reduced ratios)","[{\"question\":\"What does “reduce each ratio to its lowest form” mean?\",\"answer\":\"It means simplify the ratio so the two numbers have no common factor other than 1, while keeping the same relationship.\"},{\"question\":\"Is 72:9 reduced correctly as 8:1?\",\"answer\":\"Yes. Dividing both numbers by 9 gives 72÷9:9÷9 = 8:1.\"},{\"question\":\"Where can I find the solutions for problems 1 through 20?\",\"answer\":\"The document includes an “Answers” section that lists the reduced ratios for each item from 1 to 20.\"}]","Reducing Ratios - Answer Key | PDF",1790795968]