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Each problem requires students to apply arithmetic skills including multiplication, division, addition, and subtraction of fractions. The document includes detailed step-by-step solutions for all six problems, serving as a comprehensive resource for students to practice and master fractional calculations in practical, real-world contexts. It is an ideal supplemental material for teachers and parents aiming to reinforce core mathematical concepts.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/grade-5-word-problems-fractions-and-mixed-operations-practice-worksheet/553766/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/grade-5-word-problems-fractions-and-mixed-operations-practice-worksheet/553766.png","ImageObject",300,407,{"name":42,"@type":43},"Franzy","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-12",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How many days of vacation can Thomas have if he goes on leave for 2/3 of a 30-day month?","Question",{"text":63,"@type":64},"Thomas can have 20 days of vacation, calculated by multiplying 2/3 by 30.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"If a train takes 5 1/8 hours and a plane takes 2 2/3 hours, how much time does the plane save?",{"text":68,"@type":64},"The plane saves 2 11/24 hours, calculated by subtracting 2 2/3 from 5 1/8.",{"name":70,"@type":61,"acceptedAnswer":71},"How much extra does Thomas pay for a car rental if he drives 69 miles, given a 54-mile allowance and a rate of $1 4/5 per excess mile?",{"text":72,"@type":64},"Thomas needs to pay $27 extra, calculated by multiplying the 15 excess miles by $1 4/5.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},553766,1793040257,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110,"preview_page_count":4},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Fraction mixed operations word problems  \nGrade 5 Word Problems Worksheet  \n1. Thomas decides to go on a vacation. He can go on leave for 23 of a month. Assume a month is 30 days, how many days of vacation can he have?  \n2. Thomas decides on a destination for his vacation. If he takes the train there, it will take him 5 18 hours to get there. If he takes the plane, it will take him 2 23 hours. How many hours does the plane save?  \n3. Thomas decided to take the plane to save some time.  \nUnfortunately, the plane was delayed for 1 56 hours. How long did the trip finally take?  \nReading and Math for K-5 © [www.k5learning.com](www.k5learning.com)  \n4. Thomas rents a car for his vacation. The mileage included with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 45. If he drives 69 miles, how much extra does he need to pay?  \n5. Thomas buys 6 souvenirs for his friends and family. Each gift takes up 115 of his suitcase. If he has two suitcases, how much room is left for his own belongings in his suitcases?  \n6. On his way back, Thomas took the train. The distance travelled by the train is 328 miles. What is the average speed of the train?  \nReading and Math for K-5 © [www.k5learning.com](www.k5learning.com)  \nAnswers  \n1. ~~ ~~23 × 30 = 20  \nHe can have 20 days of vacation.  \n2. 5 18 − 2 23 = 2 1214  \nThe plane takes 2 1124 hours shorter.  \n3. 2 23 + 1 56 = 4 12  \nThe trip finally took 4 12 hours.  \n4. (69 − 54) × 145 = 27  \nThomas needs to pay $27 extra.  \n5. 2 − 6 × 115 = 1 35  \n1 35 of his suitcase is left for his own belongings.  \n6. 328 ÷ 5 18 = 64  \nThe average speed of the train is 64 miles per hour.  \nReading and Math for K-5 © [www.k5learning.com](www.k5learning.com)","cbCaimOWmG0eZR12","https://ap.wps.com/l/cbCaimOWmG0eZR12","pdf",68762,"English","# Word Problems\n## Answer Key","[{\"question\":\"How many days of vacation can Thomas have if he goes on leave for 2/3 of a 30-day month?\",\"answer\":\"Thomas can have 20 days of vacation, calculated by multiplying 2/3 by 30.\"},{\"question\":\"If a train takes 5 1/8 hours and a plane takes 2 2/3 hours, how much time does the plane save?\",\"answer\":\"The plane saves 2 11/24 hours, calculated by subtracting 2 2/3 from 5 1/8.\"},{\"question\":\"How much extra does Thomas pay for a car rental if he drives 69 miles, given a 54-mile allowance and a rate of $1 4/5 per excess mile?\",\"answer\":\"Thomas needs to pay $27 extra, calculated by multiplying the 15 excess miles by $1 4/5.\"}]","Grade 5 Word Problems - Fractions and Mixed Operations - Practice Worksheet | PDF",1791791715]