[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-474289-105":59,"doc-detail-474289-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","subtracting-fractions-with-a-tape-diagram-answer-key","Subtracting Fractions with a Tape Diagram - Answer Key","","Practice set on using a tape diagram to subtract and compare fractions across multiple contexts. Learners solve six word problems where a part of a whole is described using two time or category breakdowns (e.g., yesterday vs. today, math vs. non-math, corn vs. other plants, blue vs. not trucks). Each problem requires determining the remaining fraction after accounting for the given fraction on the diagram, followed by an included answer key.",{"@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/subtracting-fractions-with-a-tape-diagram-answer-key/474289/",{"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/subtracting-fractions-with-a-tape-diagram-answer-key/474289.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-08","2026-09-30",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 use a tape diagram to solve these fraction subtraction problems?","Question",{"text":112,"@type":113},"Represent the whole as a single tape, split it according to the first given fraction, then subtract the portion accounted for by the second description. The remaining segment gives the target fraction.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"In problem 1 (mowed field), how is the “mowed today” fraction found?",{"text":117,"@type":113},"Start with the fraction of the whole field mowed yesterday, then use the other given mowed amount to compute what portion remains for today on the tape diagram.",{"name":119,"@type":110,"acceptedAnswer":120},"What does “blue and not trucks” mean in problem 4 (cars)?",{"text":121,"@type":113},"It refers to cars that are blue minus those that are blue trucks. On the tape diagram, remove the overlap category (blue trucks) from the total blue portion to get the result.","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},474289,1790825890,{"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":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},549768702563,"https://ap-avatar.wpscdn.com/avatar/8000c4aa63b76e948b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786536092046926083","Subtracting Fractions with a Tape Diagram  \nName:  \n\n| Use the tape diagram to solve each problem.\u003Cbr>1) 1⁄ 4 of the field is mowed. Of the whole field, 1⁄ 6 was mowed yesterday. What\u003Cbr>fraction of the field was mowed today?\u003Cbr>1 whole\u003Cbr>\u003Cbr>\u003Cbr>Y Y T N N N N N N N N N\u003Cbr>Y = Yesterday T = Today N = Not mowed\u003Cbr>2) Sam finished 4⁄ 5 of his homework. Of all his homework, 7⁄ 10 was math. What fraction of his homework did he finish that was not math?\u003Cbr>1 whole\u003Cbr> M = Math\u003Cbr>M M M M M M M F U U\u003Cbr>F = Other finished U = Unfinished\u003Cbr>3) 2⁄ 3 of the garden is planted. Of the whole garden, 1⁄ 2 is planted with corn. What fraction of the garden is planted with something other than corn?\u003Cbr>1 whole\u003Cbr> C = Corn\u003Cbr> P = Other plants C C C P E E E = Empty ground\u003Cbr>4) Of the cars in the lot, 6⁄ 8 are blue. Of all the cars in the lot, 1⁄ 8 are blue trucks. What fraction of the cars are blue and not trucks?\u003Cbr>1 whole\u003Cbr> T = Blue trucks\u003Cbr>\u003Cbr>T B B B B B O O\u003Cbr>B = Other blue O = Other colors\u003Cbr>5) Vanessa read 1⁄ 2 of a book this month. She read 1⁄ 3 of the book during the first week. What fraction of the book did she read after the first week?\u003Cbr>1 whole\u003Cbr> W = First week\u003Cbr>W W A N N N\u003Cbr>A = After that N = Not read\u003Cbr>6) At the bake sale 3⁄ 4 of the trays held cookies. Of all the trays, 1⁄ 3 held sugar cookies. What fraction of the trays held cookies that were not sugar cookies?\u003Cbr>1 whole\u003Cbr> S = Sugar cookies\u003Cbr>S S S S C C C C C N N N\u003Cbr>C = Other cookies N = No cookies | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>\u003Cbr>3.  \u003Cbr>\u003Cbr>4.  \u003Cbr>\u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nSubtracting Fractions with a Tape Diagram  \nName: Answer Key  \n\n| Use the tape diagram to solve each problem.\u003Cbr>1) 1⁄ 4 of the field is mowed. Of the whole field, 1⁄ 6 was mowed yesterday. What\u003Cbr>fraction of the field was mowed today?\u003Cbr>1 whole\u003Cbr>\u003Cbr>\u003Cbr>Y Y T N N N N N N N N N\u003Cbr>Y = Yesterday T = Today N = Not mowed\u003Cbr>2) Sam finished 4⁄ 5 of his homework. Of all his homework, 7⁄ 10 was math. What fraction of his homework did he finish that was not math?\u003Cbr>1 whole\u003Cbr> M = Math\u003Cbr>M M M M M M M F U U\u003Cbr>F = Other finished U = Unfinished\u003Cbr>3) 2⁄ 3 of the garden is planted. Of the whole garden, 1⁄ 2 is planted with corn. What fraction of the garden is planted with something other than corn?\u003Cbr>1 whole\u003Cbr> C = Corn\u003Cbr> P = Other plants C C C P E E E = Empty ground\u003Cbr>4) Of the cars in the lot, 6⁄ 8 are blue. Of all the cars in the lot, 1⁄ 8 are blue trucks. What fraction of the cars are blue and not trucks?\u003Cbr>1 whole\u003Cbr> T = Blue trucks\u003Cbr>\u003Cbr>T B B B B B O O\u003Cbr>B = Other blue O = Other colors\u003Cbr>5) Vanessa read 1⁄ 2 of a book this month. She read 1⁄ 3 of the book during the first week. What fraction of the book did she read after the first week?\u003Cbr>1 whole\u003Cbr> W = First week\u003Cbr>W W A N N N\u003Cbr>A = After that N = Not read\u003Cbr>6) At the bake sale 3⁄ 4 of the trays held cookies. Of all the trays, 1⁄ 3 held sugar cookies. What fraction of the trays held cookies that were not sugar cookies?\u003Cbr>1 whole\u003Cbr> S = Sugar cookies\u003Cbr>S S S S C C C C C N N N\u003Cbr>C = Other cookies N = No cookies | Answers\u003Cbr>1\u003Cbr>1.  12  1\u003Cbr>2.  10   1 \u003Cbr>3.  6   5 \u003Cbr>4.  8   1 \u003Cbr>5.  6   5 \u003Cbr>6.  12  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nSubtracting Fractions with a Tape Diagram  \nName:  \n\n| Use the tape diagram to solve each problem.\u003Cbr>1) 1⁄ 4 of the field is mowed. Of the whole field, 1⁄ 6 was mowed yesterday. What\u003Cbr>fraction of the field was mowed today?\u003Cbr>1 whole\u003Cbr>\u003Cbr>\u003Cbr>Y Y T N N N N N N N N N\u003Cbr>Y = Yesterday T = Today N = Not mowed\u003Cbr>2) Sam finished 4⁄ 5 of his homewor","cbCaieUrgQMdpNPy","https://ap.wps.com/l/cbCaieUrgQMdpNPy","pdf",48364,"English","# Problems\n## Problem 1\n## Problem 2\n## Problem 3\n## Problem 4\n## Problem 5\n## Problem 6\n# Answers","[{\"question\":\"How do you use a tape diagram to solve these fraction subtraction problems?\",\"answer\":\"Represent the whole as a single tape, split it according to the first given fraction, then subtract the portion accounted for by the second description. The remaining segment gives the target fraction.\"},{\"question\":\"In problem 1 (mowed field), how is the “mowed today” fraction found?\",\"answer\":\"Start with the fraction of the whole field mowed yesterday, then use the other given mowed amount to compute what portion remains for today on the tape diagram.\"},{\"question\":\"What does “blue and not trucks” mean in problem 4 (cars)?\",\"answer\":\"It refers to cars that are blue minus those that are blue trucks. On the tape diagram, remove the overlap category (blue trucks) from the total blue portion to get the result.\"}]","Subtracting Fractions with a Tape Diagram - Answer Key | PDF",1790783903]