[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-358578-105":59,"doc-detail-358578-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","adding-subtracting-mixed-numbers-word-problems","Adding & Subtracting Mixed Numbers Word Problems","","A set of K-12 fraction exercises focused on adding and subtracting mixed numbers using fraction equations. Each word problem gives a scenario—hiking distances over time, remaining miles on a trail, combined backpack weights, water consumed, trail mix amounts, granola left after breakfast, and rope length after a cut. Learners are prompted to simplify their solutions, and an answer key provides step-by-step fraction simplifications, including a multi-step challenge problem.",{"@graph":69,"@context":123},[70,84,106],{"@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/adding-subtracting-mixed-numbers-word-problems/358578/",{"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/adding-subtracting-mixed-numbers-word-problems/358578.png","ImageObject",300,407,{"name":92,"@type":93},"River Wang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How should each mixed-number word problem be solved?","Question",{"text":113,"@type":114},"Read the problem carefully, set up a fraction equation, solve it, and simplify the final mixed-number answer.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What types of scenarios are included in these mixed-number problems?",{"text":118,"@type":114},"The worksheet uses real-life contexts such as hiking distances, food and snack weights, water consumption, trail mix quantities, and measurement changes like cutting a rope.",{"name":120,"@type":111,"acceptedAnswer":121},"Where can students find the correct answers?",{"text":122,"@type":114},"The document includes an answer key after the 12 problems, listing each solution and showing intermediate steps for simplification.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},358578,1790520760,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","Name:  \n_________________________________________  \nAdding & Subtracting Mixed Numbers Word Problems  \nDirections: Read each word problem carefully.  \nFor each problem, set up a fraction equation and solve. Simplify your answer.  \n1.  \nA hiker walked 2 14 miles in the morning and 1 14 miles in the afternoon. How many miles did the hiker walk in all?  \nAnswer:   2.  \nThe hiking trail is 2 56 miles long. A group has already hiked 1 16 miles. How many miles do they have left to hike?  \nAnswer:   3.  \nOne camper's backpack weighs 1 58 pounds. Another's weighs 1 38 pounds. What is the combined weight of the two backpacks?  \nAnswer:   4.  \nA water bottle held 2 25 cups. After a rest stop, only 1 35 cups remain. How many cups of water were consumed during the rest stop?  \nAnswer:    \n5.  \nA trail mix bag had 1 56 cups. A hiker added 46 cup more from a second bag. How many cups of trail mix are there now?  \nAnswer:    \n6.  \nThe camp has 4 pounds of granola. The cook used 1 34 pounds for breakfast. How many pounds of granola remain?  \nAnswer:    \n1  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n7.  \nOn Day 1 the group hiked 1 78 miles. On Day 2 they hiked 1 58 miles. How many miles did they hike over the two days?  \nAnswer:   8.  \nA rope is 3 56 feet long. A ranger cuts off a 2 16 foot piece. How long is the remaining rope?  \nAnswer:   9.  \nThree hikers carried 1 14 , 2 24 , and 1 34 pounds of food.  \nWhat was the total weight of food they carried?  \nAnswer:   10.  \nA bird-watching hike covers 2 110 miles. The group has finished 1 410 miles. How much of the hike is left?  \nAnswer:   11.  \nThe campers hiked 4 34 miles before lunch and 3 14 miles after lunch. What was the total distance hiked that day?  \nAnswer:    \n12. Challenge Problem  \nA hiker started with 5 26 pounds of food. After two days, they used 1 46 They then found 36 pound of extra snacks at the shelter.  \nHow much food does the hiker have now?  \nCorrect answer:    \n2  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nAnswer Key  \n1. 3 12 miles (2 14 + 1 14 = 3 24 = 3 12)  \n2. 1 23 miles (2 56 − 1 16 = 1 46 = 1 23)  \n3. 3 pounds ( 1 58 + 1 38 = 2 88 = 3)  \n4. 45 cup (2 25 − 1 35 = 45)  \n5. 2 12 cups ( 1 56 + 46 = 2 36 = 2 12)  \n6. 2 14 pounds (4 − 1 34 = 344 − 1 34 = 2 14)  \n7. 3 12 miles ( 1 78 + 1 58 = 3 48 = 3 12)  \n8. 1 23 feet (3 56 − 2 16 = 1 46 = 1 23)  \n9. 5 12 pounds ( 1 14 + 2 24 + 1 34 = 5 24 = 5 12)  \n10. ~~ ~~170 mile (2 110 − 1 410 = 170)  \n11.8 miles (4 34 + 3 14 = 7 44 = 8)  \n12. 4 16 pounds (5 26 − 1 46 + 36 = 3 46 + 36 = 4 16)  \nFirst subtract: 5 26 − 1 46 = 3 46; then add: 3 46 + 36 = 4 16 pounds.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n3","cbCaiqEpbCybutJj","https://ap.wps.com/l/cbCaiqEpbCybutJj","pdf",973243,"English","# Adding & Subtracting Mixed Numbers Word Problems\n## Problems 1-12\n## Answer Key","[{\"question\":\"How should each mixed-number word problem be solved?\",\"answer\":\"Read the problem carefully, set up a fraction equation, solve it, and simplify the final mixed-number answer.\"},{\"question\":\"What types of scenarios are included in these mixed-number problems?\",\"answer\":\"The worksheet uses real-life contexts such as hiking distances, food and snack weights, water consumption, trail mix quantities, and measurement changes like cutting a rope.\"},{\"question\":\"Where can students find the correct answers?\",\"answer\":\"The document includes an answer key after the 12 problems, listing each solution and showing intermediate steps for simplification.\"}]","Adding & Subtracting Mixed Numbers Word Problems | PDF",1790134658]