[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-398512-105":59,"doc-detail-398512-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-and-subtracting-fractions-quick-review-and-practice-problems","Adding and Subtracting Fractions - Quick Review and Practice Problems","","Practice set focused on adding and subtracting fractions with different denominators. Teaches using the least common denominator, rewriting each fraction with that common denominator, then adding or subtracting numerators while keeping the denominator unchanged, followed by simplifying the result. Includes worked examples showing step-by-step setup and combination of equivalent fractions, plus practice questions and word problems involving recipes, measurements, distance, and fractions of quantities.",{"@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-and-subtracting-fractions-quick-review-and-practice-problems/398512/",{"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-and-subtracting-fractions-quick-review-and-practice-problems/398512.png","ImageObject",300,407,{"name":92,"@type":93},"iuabcfuw","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you add or subtract fractions with different denominators?","Question",{"text":113,"@type":114},"Find the least common denominator, rewrite each fraction with that denominator, then add or subtract the numerators while keeping the denominator the same. Simplify the result.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Why do you rewrite fractions using a common denominator?",{"text":118,"@type":114},"Rewriting creates equivalent fractions with the same denominator, which makes the numerators directly combinable by addition or subtraction.",{"name":120,"@type":111,"acceptedAnswer":121},"What does it mean to give the answer in simplest form?",{"text":122,"@type":114},"After computing the result, reduce it so the numerator and denominator share no common factor other than 1.","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},398512,1790828266,{"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},3985747874027,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Practice 􀀏 Progress 􀀏 Succeed | TSIA2 Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAdding and Subtracting Fractions  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nTo add or subtract fractions with different denominators, 􀀂rst 􀀂nd a common denominator (the least common denominator works best) . Rewrite each fraction with that denominator, then add or subtract the numerators and keep the denominator the same. Always simplify your answer.  \n▷ Example: Add 13 + 14. Work: The least common denominator of 3 and 4 is 12. Rewrite: 13 = 412 and 14 = 312 . Now add the numerators:  \n412 + 312 = 712 . ⋆ Answer: 712  \n♦ Practice Problems  \nAdd or subtract. Write each answer in simplest form.  \n♦ Word Problems  \n15. A recipe needs 12 cup of white sugar and 13 cup of brown sugar. How much sugar in all?  \n16. A board is 78 foot long. If 14 foot is cut off, how much is left?  \n17. Maria walked 23 mile in the morning and 16 mile in the evening. How far did she walk?  \n18. A tank is 34 full. After 13 of the tank is used, what fraction is left?  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | TSIA2 Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Find a common denominator for 2 and 4 – that is 4. Rewrite  \n12 = 24 , then add the numerators: 24 + 14 = 34 . So the 􀀂nal answer is 34 .  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is The denominators 3 and 6 share the common denominator 6. Change 23 = 46 , then add: 46 + 16 = 56 . So the 􀀂nal answer is 56 .  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Use denominator 4. Rewrite 12 = 24 , then subtract the numerators: 34 􀀀 24 = 14 . So the 􀀂nal answer is 14 .  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Since 3 and 5 share no factor, the least common denominator is 3 􀀂 5 = 15 . Rewrite 13 = 155 and 25 = 165 , then add: 155 + 165 = 1115 . So the  \n􀀂nal answer is 1115 .  \n5. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Common denominator 6: change 13 = 26 . Subtract: 56 􀀀 26 = 36 , which simpli􀀂es to 12 . So the 􀀂nal answer is 12 .  \n6. A good way to think about this is: Read what the problem is asking, choose the matchi","cbCaiuAfEkDE8G1x","https://ap.wps.com/l/cbCaiuAfEkDE8G1x","pdf",108353,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems","[{\"question\":\"How do you add or subtract fractions with different denominators?\",\"answer\":\"Find the least common denominator, rewrite each fraction with that denominator, then add or subtract the numerators while keeping the denominator the same. Simplify the result.\"},{\"question\":\"Why do you rewrite fractions using a common denominator?\",\"answer\":\"Rewriting creates equivalent fractions with the same denominator, which makes the numerators directly combinable by addition or subtraction.\"},{\"question\":\"What does it mean to give the answer in simplest form?\",\"answer\":\"After computing the result, reduce it so the numerator and denominator share no common factor other than 1.\"}]","Adding and Subtracting Fractions - Quick Review and Practice Problems | PDF",1790482743]