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Examples include comparing spending on vegetables with linked fraction multipliers, determining the weight of a small rock from scaled fractions across three sizes, and calculating earnings at a school fundraiser through sequential fraction comparisons. A store-sales scenario and a fair-attendance problem add additional fraction chains, ending with clear numeric answers for validation.",{"@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/fraction-comparisons-with-tape-diagram-solve-each-problem/481536/",{"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/fraction-comparisons-with-tape-diagram-solve-each-problem/481536.png","ImageObject",300,407,{"name":92,"@type":93},"Anna Hans","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main method used to solve these problems?","Question",{"text":112,"@type":113},"Use a tape diagram to represent and compare the fractional relationships between the given quantities, then compute the requested value.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of word problems are included?",{"text":117,"@type":113},"The worksheet includes scenarios like vegetable spending, store sales, rock weight estimation, school fundraiser earnings, and fair attendance, all requiring chained fraction comparisons.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the final value determined in a fraction chain?",{"text":121,"@type":113},"Start from a known quantity, apply the first fraction comparison to find an intermediate amount, then apply the next fraction comparison(s) to reach the target quantity.","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},481536,1792846343,{"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":19,"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},5909892332657,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Fraction Comparisons With Tape Diagram  \nName:  \n\n| Solve each problem using a tape diagram.\u003Cbr>Ex) A chef was ordering vegetables for his restaurant. He order $630 worth of potatoes. He also spent 6⁄10 as much on tomatoes. Finally he spent 4⁄6 as much on green beans as he did on tomatoes. How much did he spend on green beans?\u003Cbr>potatoes  630 tomatoes \u003Cbr>green beans \u003Cbr>1) On Super Bowl Sunday a store sold 276 sodas. They sold 5⁄6 as many bags of chips. They also sold 4⁄5 as many jars of dip as bags of chips. How many jars of dip did they sell?\u003Cbr>Sodas  276 Chips \u003Cbr>Dip  | Answers\u003Cbr>Ex.  252 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |\n| --- | --- | --- |\n| 2) Lana was trying to determine the weight of a small rock. She determined the small rock was 1⁄6 as heavy as a medium rock. The medium rock was 6⁄8 as heavy as a large rock. The large rock weighed 672 grams. How heavy was the small rock?\u003Cbr>large rock  672 medium rock \u003Cbr>small rock  |  |  |\n| 3) At the school fundraiser Adam earned $455. Bianca earned 5⁄7 as much as Adam. And Cathy earned 1⁄5 as much as Bianca. How much did Cathy earn?\u003Cbr>Adam  455 Bianca \u003Cbr>Cathy  |  |  |\n| 4) Two years ago the fair had 3⁄4 as many people as 1 year ago. 1 year ago the fair had 4⁄5 as many people as this year. This year the fair had 305 people. How many people did the fair have 2 years ago?\u003Cbr>This Year  305\u003Cbr>1 Year Ago \u003Cbr>2 Years Ago  |  |  |\n| 4 | 1-4 | 75  50  25  0 |\n|  |  |  |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nFraction Comparisons With Tape Diagram  \nName: Answer Key  \n\n| Solve each problem using a tape diagram.\u003Cbr>Ex) A chef was ordering vegetables for his restaurant. He order $630 worth of potatoes. He also spent 6⁄10 as much on tomatoes. Finally he spent 4⁄6 as much on green beans as he did on tomatoes. How much did he spend on green beans?\u003Cbr>potatoes  630 tomatoes \u003Cbr>green beans \u003Cbr>1) On Super Bowl Sunday a store sold 276 sodas. They sold 5⁄6 as many bags of chips. They also sold 4⁄5 as many jars of dip as bags of chips. How many jars of dip did they sell?\u003Cbr>Sodas  276 Chips \u003Cbr>Dip  | Answers Ex.  252  1.  184  2.  84  3.  65  4.  183  |  |\n| --- | --- | --- |\n| 2) Lana was trying to determine the weight of a small rock. She determined the small rock was 1⁄6 as heavy as a medium rock. The medium rock was 6⁄8 as heavy as a large rock. The large rock weighed 672 grams. How heavy was the small rock?\u003Cbr>large rock  672 medium rock \u003Cbr>small rock  |  |  |\n| 3) At the school fundraiser Adam earned $455. Bianca earned 5⁄7 as much as Adam. And Cathy earned 1⁄5 as much as Bianca. How much did Cathy earn?\u003Cbr>Adam  455 Bianca \u003Cbr>Cathy  |  |  |\n| 4) Two years ago the fair had 3⁄4 as many people as 1 year ago. 1 year ago the fair had 4⁄5 as many people as this year. This year the fair had 305 people. How many people did the fair have 2 years ago?\u003Cbr>This Year  305\u003Cbr>1 Year Ago \u003Cbr>2 Years Ago  |  |  |\n| 4 | 1-4 | 75  50  25  0 |\n|  |  |  |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nFraction Comparisons With Tape Diagram  \nName:  \n\n| Solve each problem using a tape diagram.\u003Cbr>\u003Cbr>184 65 84\u003Cbr>Ex) A chef was ordering vegetables for his restaurant. He order $630 worth of potatoes. He also spent 6⁄10 as much on tomatoes. Finally he spent 4⁄6 as much\u003Cbr>on green beans as he did on tomatoes. How much did he spend on green beans? potatoes  630 tomatoes \u003Cbr>green beans \u003Cbr>1) On Super Bowl Sunday a store sold 276 sodas. They sold 5⁄6 as many bags of chips. They also sold 4⁄5 as many jars of dip as bags of chips. How many jars of dip did they sell?\u003Cbr>Sodas  276 Chips \u003Cbr>Dip \u003Cbr>2) Lana was trying to determine the weight of a small rock. She determined the small rock was 1⁄6 as heavy as a medium rock. The medium rock was 6⁄8 as heavy as a large rock. The large rock weighed 672 grams. How heavy was the small rock?\u003Cbr>large rock  672 medium rock \u003Cbr>small rock \u003Cbr>3) At the school fundraiser Adam earned $455. Bianca earned 5⁄7 as much as Adam. ","cbCaif1c6NmOadLf","https://ap.wps.com/l/cbCaif1c6NmOadLf","pdf",47425,"English","# Fraction Comparisons With Tape Diagram\n## Solve each problem using a tape diagram","[{\"question\":\"What is the main method used to solve these problems?\",\"answer\":\"Use a tape diagram to represent and compare the fractional relationships between the given quantities, then compute the requested value.\"},{\"question\":\"What kinds of word problems are included?\",\"answer\":\"The worksheet includes scenarios like vegetable spending, store sales, rock weight estimation, school fundraiser earnings, and fair attendance, all requiring chained fraction comparisons.\"},{\"question\":\"How is the final value determined in a fraction chain?\",\"answer\":\"Start from a known quantity, apply the first fraction comparison to find an intermediate amount, then apply the next fraction comparison(s) to reach the target quantity.\"}]","Fraction Comparisons With Tape Diagram - Solve each problem | PDF",1790796939]