[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-269907-105":59,"doc-detail-269907-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-step-by-step-solution-and-examples","Adding and Subtracting Fractions - Step-by-step solution and examples","","Instructional walkthrough for adding and subtracting fractions using a common denominator. Covers the rule that denominators must match, then demonstrates how to find a common denominator by listing multiples, transforming both numerators and denominators, and carrying out the arithmetic. Includes a worked addition example and a subtraction example, explains when more multiples are needed, and finishes with guidance to simplify the resulting fraction when possible.",{"@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-step-by-step-solution-and-examples/269907/",{"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-step-by-step-solution-and-examples/269907.png","ImageObject",300,407,{"name":92,"@type":93},"Ivy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the key rule for adding or subtracting fractions?","Question",{"text":113,"@type":114},"The denominators must be the same. You achieve this by converting the fractions to a common denominator before adding or subtracting the numerators.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find a common denominator?",{"text":118,"@type":114},"List multiples of each denominator and identify a value that is shared by both. 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To add or subtract fractions, the denominators need to be the same. Taking 4 over 7 plus 8 over 21 as our example, weare going to find the common denominator. We find the first few multiples of each, and we find that 21 is common. So we keep 8 over 21 the same, 7 needs to be multiplied by 3 to get to 21. We need to do the same to our numerator. 4 multiplied by 3 is 12, so we have 12 over 21 plus 8 over 21, which equals 20 over 21. We can’t simplify so this is our final answer.  \nWhen subtracting, note the only change to our process is we subtract not add. 5 over 7 take away 3 over 6. Again, we find the common denominator. Sometimes, you might have to work out more multiples until you find the common one, so here, our fractions are all going to be over 42. We multiplied 7 by 6, so we do the same to the top. 6 was multiplied by 7 so we do the same to the top here. Our answer of 9 over 42 can be simplified by dividing both top and bottom by 3. Our answer 3 over 14. Pause the video and have a try at these.  \nFor further examples and explanations contact us by email, on our website or come into the library.","cbCaif9LdaGQMNgU","https://ap.wps.com/l/cbCaif9LdaGQMNgU","pdf",87959,"English","# Adding fractions\n## Common denominator method\n# Subtracting fractions\n## Match denominators and simplify","[{\"question\":\"What is the key rule for adding or subtracting fractions?\",\"answer\":\"The denominators must be the same. You achieve this by converting the fractions to a common denominator before adding or subtracting the numerators.\"},{\"question\":\"How do you find a common denominator?\",\"answer\":\"List multiples of each denominator and identify a value that is shared by both. Use that common value as the new denominator for every fraction in the operation.\"},{\"question\":\"When should the final fraction be simplified?\",\"answer\":\"After adding or subtracting, simplify the result by dividing both the numerator and denominator by a common factor if possible.\"}]","Adding and Subtracting Fractions - Step-by-step solution and examples | PDF"]