[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-638102-105":59,"doc-detail-638102-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","ratio-and-proportion-sheet-4-practice-and-answer-key","Ratio and Proportion - Sheet 4 - Practice and Answer Key","","This educational resource provides a comprehensive set of practice exercises focused on the fundamentals of ratios and proportions. Designed for students, the document includes structured tables that prompt users to express ratios in their lowest terms and calculate the proportion of individual items relative to a whole as simplified fractions. The content covers various visual examples and numerical data sets, including an analysis of odd and even numbers, accompanied by a complete answer key for self-assessment and verification of mathematical accuracy. It serves as an essential tool for mastering proportional reasoning, simplifying mathematical comparisons, and reinforcing fraction-based problem-solving skills in a clear and logical format.",{"@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/ratio-and-proportion-sheet-4-practice-and-answer-key/638102/",{"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/ratio-and-proportion-sheet-4-practice-and-answer-key/638102.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you express a ratio in its lowest terms?","Question",{"text":112,"@type":113},"To express a ratio in its lowest terms, you divide both parts of the ratio by their greatest common divisor (GCD) until no further simplification is possible.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the relationship between ratios and proportions?",{"text":117,"@type":113},"A ratio compares quantities of two or more items, while a proportion represents the relationship between a part and the whole, expressed as a fraction or a comparison relative to the total sum.",{"name":119,"@type":110,"acceptedAnswer":120},"How are proportions calculated from a given ratio?",{"text":121,"@type":113},"To calculate the proportion of a part to the whole, you sum the parts of the ratio to find the total, then express each part as a numerator over that total sum as the denominator, simplifying the resulting fraction if possible.","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},638102,1792898261,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","RATIO AND PROPORTION SHEET 4  \nExpress the ratios in their lowest terms, and record the proportion of each object relative to the whole as a fraction in simplest form.  \n1)  \n| Ratio of  to  =   :   | Proportion of  = | Proportion of  = |\n| --- | --- | --- |\n\n2)  \n| Ratio of  to  =   | Proportion of  = | Proportion of  = |\n| --- | --- | --- |\n\n| Ratio of  to  =   | Proportion of  = | Proportion of  = |\n| --- | --- | --- |\n\n4)  \n| Ratio of  to  =   | Proportion of  = | Proportion of  = |\n| --- | --- | --- |\n\n5)    \n\n| Ratio of  to  =   | Proportion of  = | Proportion of  = |\n| --- | --- | --- |\n\n6) 42, 35, 27, 24, 36, 61, 85, 40, 53, 76, 17, 49, 34 , 51  \n\n| Ratio of odd to even numbers = | Proportion of odd numbers = | Proportion of even numbers = |\n| --- | --- | --- |\n\nRATIO AND PROPORTION SHEET 4 ANSWERS  \n1)  \n| Ratio of  to  = 4:6 = 2:3 | Proportion of  = 2∕5 | Proportion of  = 3∕5 |\n| --- | --- | --- |\n\n2)  \n| Ratio of  to  = 8:8 = 1:1 | Proportion of  = 1∕2 | Proportion of  = 1∕2 |\n| --- | --- | --- |\n\n| Ratio of  to  = 8:10 = 4:5 | Proportion of  = 4∕9 | Proportion of  = 5∕9 |\n| --- | --- | --- |\n\n4)  \n| Ratio of  to  = 8:4 = 2:1 | Proportion of  = 2∕3 | Proportion of  = 1∕3 |\n| --- | --- | --- |\n\n5)    \n\n| Ratio of  to  = 10:7 | Proportion of  = 10∕17 | Proportion of  = 7∕17 |\n| --- | --- | --- |\n\n6) 42, 35, 27, 24, 36, 61, 85, 40, 53, 76, 17, 49, 34, 51  \n\n| Ratio of odd to even numbers =\u003Cbr>8:6 = 4:3 | Proportion of odd numbers = 4∕7 | Proportion of even numbers = 3∕7 |\n| --- | --- | --- |","cbCaiq3ii4tr9JuA","https://ap.wps.com/l/cbCaiq3ii4tr9JuA","pdf",211292,"English","# Practice Exercises\n## Ratio and Proportion Tasks\n## Odd and Even Number Analysis\n# Answer Key\n## Solutions to Exercises\n## Solutions to Number Analysis","[{\"question\":\"How do you express a ratio in its lowest terms?\",\"answer\":\"To express a ratio in its lowest terms, you divide both parts of the ratio by their greatest common divisor (GCD) until no further simplification is possible.\"},{\"question\":\"What is the relationship between ratios and proportions?\",\"answer\":\"A ratio compares quantities of two or more items, while a proportion represents the relationship between a part and the whole, expressed as a fraction or a comparison relative to the total sum.\"},{\"question\":\"How are proportions calculated from a given ratio?\",\"answer\":\"To calculate the proportion of a part to the whole, you sum the parts of the ratio to find the total, then express each part as a numerator over that total sum as the denominator, simplifying the resulting fraction if possible.\"}]","Ratio and Proportion - Sheet 4 - Practice and Answer Key | PDF",1792682132]