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Examples include determining a small rock’s weight from fraction ratios, calculating restaurant spending on related items, finding past fair attendance using fractional relationships across years, and working out game counts in a Nintendo collection. An answer key accompanies the set, providing the expected solutions for each numbered problem.",{"@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-math-worksheet/481538/",{"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-math-worksheet/481538.png","ImageObject",300,407,{"name":92,"@type":93},"Anna Hans","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you use a tape diagram for fraction comparisons?","Question",{"text":112,"@type":113},"Set up a tape diagram where each segment represents the fractional relationship described in the problem, then use the given total to compute the requested part.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is Example 1 asking you to find?",{"text":117,"@type":113},"Example 1 asks for the weight of a small rock given that it is a fraction of a medium rock, which is a fraction of a large rock, and the large rock’s weight is provided.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of word problems are included in this worksheet?",{"text":121,"@type":113},"The worksheet includes problems about weights, money spent on items using fractional amounts, attendance changes over multiple years using fraction comparisons, and comparing counts of games in different categories.","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},481538,1793003887,{"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":34,"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) Sarah was trying to determine the weight of a small rock. She determined the small rock was 3⁄9 as heavy as a medium rock. The medium rock was 9⁄10 as heavy asa large rock. The large rock weighed 120 grams. How heavy was the small rock?\u003Cbr>large rock  120 medium rock \u003Cbr>small rock \u003Cbr>1) A chef was ordering vegetables for his restaurant. He order $432 worth of potatoes. He also spent 2⁄9 as much on tomatoes. Finally he spent 1⁄2 as much on green beans as he did on tomatoes. How much did he spend on green beans?\u003Cbr>potatoes  432 tomatoes \u003Cbr>green beans  | Answers\u003Cbr>Ex.  36 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |\n| --- | --- | --- |\n| 2) Two years ago the fair had 1⁄2 as many people as 1 year ago. 1 year ago the fair had 2⁄7 as many people as this year. This year the fair had 154 people. How many people did the fair have 2 years ago?\u003Cbr>This Year  154\u003Cbr>1 Year Ago \u003Cbr>2 Years Ago  |  |  |\n| 3) At the school fundraiser Adam earned $215. Bianca earned 2⁄5 as much as Adam. And Cathy earned 1⁄2 as much as Bianca. How much did Cathy earn?\u003Cbr>Adam  215 Bianca \u003Cbr>Cathy  |  |  |\n| 4) Maria was looking at her Nintendo collection. She had 784 wiiU games. She had 4⁄8 as many DS games and 1⁄4 as many 3ds games as DS games. How many 3ds games does she have?\u003Cbr>wii  784 DS \u003Cbr>3ds  |  |  |\n| 6 | 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) Sarah was trying to determine the weight of a small rock. She determined the small rock was 3⁄9 as heavy as a medium rock. The medium rock was 9⁄10 as heavy asa large rock. The large rock weighed 120 grams. How heavy was the small rock?\u003Cbr>large rock  120 medium rock \u003Cbr>small rock \u003Cbr>1) A chef was ordering vegetables for his restaurant. He order $432 worth of potatoes. He also spent 2⁄9 as much on tomatoes. Finally he spent 1⁄2 as much on green beans as he did on tomatoes. How much did he spend on green beans?\u003Cbr>potatoes  432 tomatoes \u003Cbr>green beans  | Answers Ex.  36  1.  48  2.  22  3.  43  4.  98  |  |\n| --- | --- | --- |\n| 2) Two years ago the fair had 1⁄2 as many people as 1 year ago. 1 year ago the fair had 2⁄7 as many people as this year. This year the fair had 154 people. How many people did the fair have 2 years ago?\u003Cbr>This Year  154\u003Cbr>1 Year Ago \u003Cbr>2 Years Ago  |  |  |\n| 3) At the school fundraiser Adam earned $215. Bianca earned 2⁄5 as much as Adam. And Cathy earned 1⁄2 as much as Bianca. How much did Cathy earn?\u003Cbr>Adam  215 Bianca \u003Cbr>Cathy  |  |  |\n| 4) Maria was looking at her Nintendo collection. She had 784 wiiU games. She had 4⁄8 as many DS games and 1⁄4 as many 3ds games as DS games. How many 3ds games does she have?\u003Cbr>wii  784 DS \u003Cbr>3ds  |  |  |\n| 6 | 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. | Answers |  |  |  |\n| --- | --- | --- | --- | --- |\n| |  |  |  |  |\n| Ex) Sarah was trying to determine the weight of a small rock. She determined the small rock was 3⁄9 as heavy as a medium rock. The medium rock was 9⁄10 as heavy asa large rock. The large rock weighed 120 grams. How heavy was the small rock?\u003Cbr>large rock  120 medium rock \u003Cbr>small rock \u003Cbr>1) A chef was ordering vegetables for his restaurant. He order $432 worth of potatoes. He also spent 2⁄9 as much on tomatoes. Finally he spent 1⁄2 as much on green beans as he did on tomatoes. How much did he spend on green beans?\u003Cbr>potatoes  432 tomatoes \u003Cbr>green beans  | Ex.  36 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |\n| 2) Two years ago the fair had 1⁄2 as many people as 1 year ago. 1 year ago the fair had 2⁄7 as many people as this year. This year the fair had 154 people. How many people did the fair have 2 years ago?\u003Cbr>This Year","cbCaiahlbQirUAxu","https://ap.wps.com/l/cbCaiahlbQirUAxu","pdf",47433,"English","# Fraction Comparisons With Tape Diagram\n## Example problems using tape diagrams\n## Answer key","[{\"question\":\"How do you use a tape diagram for fraction comparisons?\",\"answer\":\"Set up a tape diagram where each segment represents the fractional relationship described in the problem, then use the given total to compute the requested part.\"},{\"question\":\"What is Example 1 asking you to find?\",\"answer\":\"Example 1 asks for the weight of a small rock given that it is a fraction of a medium rock, which is a fraction of a large rock, and the large rock’s weight is provided.\"},{\"question\":\"What kinds of word problems are included in this worksheet?\",\"answer\":\"The worksheet includes problems about weights, money spent on items using fractional amounts, attendance changes over multiple years using fraction comparisons, and comparing counts of games in different categories.\"}]","Fraction Comparisons With Tape Diagram - Math Worksheet | PDF",1790796947]