[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-638107-105":59,"doc-detail-638107-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","mixed-ratio-problems-61-simplifying-ratios-practice","Mixed Ratio Problems 6:1 - Simplifying Ratios Practice","","Mixed ratio problems for grade-level learners using real-world scenarios such as frogs and dragonflies, forest trees, squirrel snack collections, penguin breeding ratios, rainy vs. sunny days, and hamster vs. human running laps. Students simplify ratios, write ratios in simplest form, and solve equivalent ratio questions by scaling quantities while keeping the original relationship. Answer steps are provided for each problem to support ratio reasoning and verification.",{"@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/mixed-ratio-problems-61-simplifying-ratios-practice/638107/",{"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/mixed-ratio-problems-61-simplifying-ratios-practice/638107.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you simplify a ratio of frogs to dragonflies?","Question",{"text":112,"@type":113},"Find the greatest common divisor of the frog and dragonfly counts (12 and 8), then divide both by it. The simplified ratio is 3:2.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you convert a part-to-whole tree ratio into a ratio for all trees?",{"text":117,"@type":113},"Use the given part counts to compute the total. Then express the oak-to-all-trees ratio and simplify: 10:14 becomes 5:7.",{"name":119,"@type":110,"acceptedAnswer":120},"What does an equivalent ratio problem require you to do?",{"text":121,"@type":113},"Keep the same relationship between the two groups while scaling to the new quantity. For example, 2:3 becomes 8:12, so the number of adult penguins is 12.","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},638107,1792887044,{"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":14,"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","MIXED RATIO PROBLEMS 6:1  \n1. Frogs and Dragonflies (Simplifying Ratios Part-to-Part)  \nIn a pond, there are 12 frogs and 8 dragonflies resting on lily pads.  \nWhat is the ratio of frogs to dragonflies in simplest form?    2. Forest Trees (Part-to-Whole)  \nA small forest area is planted with just birch and oak trees.  \nIt has a ratio of 10 oak trees to every 4 birch trees.  \nWrite down the ratio of oak trees to all trees in simplest form   \n3. Squirrel Snack Mix (Simplifying Ratios)  \nA squirrel collects 20 acorns and 8 pinecones for winter.  \nWrite the ratio of acorns to pinecones and simplify it   \n4. Penguin Parade (Equivalent Ratios)  \nFor every 2 baby penguins, there are 3 adult penguins in a colony.  \nIf there are 8 baby penguins, how many adult penguins should there be if the ratio stays the same?    \n5. Rainy vs Sunny Days (Simplifying Ratios)  \nLast month had 6 rainy days and 24 sunny days.  \nWrite down the ratio of rainy days to sunny days and simplify it  6. Hamster vs Human Laps (Equivalent Ratios)  \nYour hamster runs 9 laps on its wheel in the time it takes for you run 4 laps around the  \ngarden. At this rate, how many laps will the hamster run if you manage to run 12 laps round  \nthe garden?  \n____________________________________  \nMIXED RATIO PROBLEMS 6:1 ANSWERS  \n1. Frogs and Dragonflies (Part-to-Part)  \nIn a pond, there are 12 frogs and 8 dragonflies resting on lily pads.  \nWhat is the ratio of frogs to dragonflies in simplest form? 12:8 = 6:4 = 3:2  2. Forest Trees (Part-to-Whole)  \nA small forest area is planted with only birch and oak trees. It has a ratio of 10 oak trees to every 4 birch trees.  \nWrite down the ratio of oak trees to all trees in simplest form. 10:14 = 5:7  \n3. Squirrel Snack Mix (Simplifying Ratios)  \nA squirrel collects 20 acorns and 8 pinecones for winter.  \nWrite the ratio of acorns to pinecones and simplify it. 20:8 = 5:2  \n4. Penguin Parade (Equivalent Ratios)  \nFor every 2 baby penguins, there are 3 adult penguins in a colony.  \nIf there are 8 baby penguins, how many adult penguins should there be if the ratio stays the same? 2:3 = 8:12 There will be 12 adult penguins.  \n5. Rainy vs Sunny Days (Simplifying Ratios)  \nLast month had 6 rainy days and 24 sunny days.  \nWrite down the ratio of rainy days to sunny days and simplify it. 6:24 = 1:4 6. Hamster vs Human Laps (Equivalent Ratios)  \nYour hamster runs 9 laps on its wheel in the time it takes for you run 4 laps around the  \ngarden. At this rate, how many laps will the hamster run if you manage to run 12 laps round  \nthe garden? 9:4 = 27:12 The hamster will run 27 laps.","cbCaie4E718KekF0","https://ap.wps.com/l/cbCaie4E718KekF0","pdf",286430,"English","# Mixed Ratio Problems 6:1\n## Frogs and Dragonflies (Part-to-Part)\n## Forest Trees (Part-to-Whole)\n## Squirrel Snack Mix (Simplifying Ratios)\n## Penguin Parade (Equivalent Ratios)\n## Rainy vs Sunny Days (Simplifying Ratios)\n## Hamster vs Human Laps (Equivalent Ratios)\n## Answers","[{\"question\":\"How do you simplify a ratio of frogs to dragonflies?\",\"answer\":\"Find the greatest common divisor of the frog and dragonfly counts (12 and 8), then divide both by it. The simplified ratio is 3:2.\"},{\"question\":\"How do you convert a part-to-whole tree ratio into a ratio for all trees?\",\"answer\":\"Use the given part counts to compute the total. Then express the oak-to-all-trees ratio and simplify: 10:14 becomes 5:7.\"},{\"question\":\"What does an equivalent ratio problem require you to do?\",\"answer\":\"Keep the same relationship between the two groups while scaling to the new quantity. For example, 2:3 becomes 8:12, so the number of adult penguins is 12.\"}]","Mixed Ratio Problems 6:1 - Simplifying Ratios Practice | PDF",1792682142]