[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634948-105":59,"doc-detail-634948-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","how-to-divide-fractions-by-whole-numbers-math-education-guide","How to Divide Fractions by Whole Numbers - Math Education Guide","","This educational resource provides a clear, step-by-step methodology for dividing fractions by whole numbers, specifically designed for students learning fundamental arithmetic operations. The document outlines a four-step process: converting integers into fractions, applying the reciprocal method to transform division into multiplication, performing the multiplication of numerators and denominators, and simplifying the final result. Additionally, it features illustrative examples and a practical shortcut to enhance student comprehension. By breaking down complex procedures into manageable actions, the guide ensures that learners can effectively master fraction division, including the handling of mixed numbers and improper fractions. This material serves as an essential tool for classroom instruction and independent math practice.",{"@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/how-to-divide-fractions-by-whole-numbers-math-education-guide/634948/",{"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/how-to-divide-fractions-by-whole-numbers-math-education-guide/634948.png","ImageObject",300,407,{"name":92,"@type":93},"วิน","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",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},"What is the first step in dividing a fraction by a whole number?","Question",{"text":112,"@type":113},"The first step is to change the whole number into a fraction by placing it over a denominator of 1, and converting any mixed fractions into improper fractions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you convert a division problem into multiplication when working with fractions?",{"text":117,"@type":113},"You swap the numerator and denominator of the divisor fraction and change the division operation to multiplication.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there a shortcut for dividing fractions by whole numbers?",{"text":121,"@type":113},"Yes, a shortcut is to multiply the denominator of the fraction by the whole number you are dividing by to reach the final answer.","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},634948,1792880438,{"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":8,"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":81},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","Name Date  \nHOW TO DIVIDE FRACTIONS BY WHOLE NUMBERS  \nBefore you tackle this, you need to know about multiplying fractions.  \nFrazer says “To divide a fraction by an integer, or whole number, follow these 4 easy steps.”  \nStep 1  \n• Change the integer, or whole number, into a fraction by putting it over a denominator of 1.  \n• Convert any mixed fractions into improper fractions.  \nStep 2  \n• Swap the numerator and denominator the the dividend fraction (which was the whole number), and then change the operation to x instead of ÷ .  \nStep 3  \n• Multiply the numerators of the fractions together, and the denominators of the fractions together. This will give you the answer.  \nStep 4 (Optional)  \n• You may want to convert the fraction into its simplest form and convert it back to a mixed fraction (if it is an improper fraction) .  \nExample 1 ~~ ~~34~~ ~~ ÷ 6 = ~~ ~~34~~ ~~ ÷ ~~ ~~61~~ ~~ = ~~ ~~34~~ ~~ x ~~ ~~16~~ ~~ = ~~ ~~324~~ ~~ = ~~ ~~18~~  ~~Example 2 2 ~~ ~~23~~ ~~ ÷ 7 = ~~ ~~83~~ ~~ ÷ ~~ ~~71~~ ~~ = ~~ ~~83~~ ~~ x ~~ ~~17~~ ~~ = ~~ ~~821~~ ~~“Once you have understood how to use this method, a short cut is to multiply the denominator of the fraction by the integer you are dividing to give you the answer.”  \nExample 3  \n~~ ~~27~~ ~~ ÷ 4 = ~~ ~~72x4~~ ~~ = ~~ ~~228~~ ~~ = ~~ ~~114~~ ~~","cbCaigizIHvhI9A7","https://ap.wps.com/l/cbCaigizIHvhI9A7","pdf",172086,"English","# Steps to Divide Fractions by Whole Numbers\n## Step-by-Step Methodology\n## Examples of Division Operations","[{\"question\":\"What is the first step in dividing a fraction by a whole number?\",\"answer\":\"The first step is to change the whole number into a fraction by placing it over a denominator of 1, and converting any mixed fractions into improper fractions.\"},{\"question\":\"How do you convert a division problem into multiplication when working with fractions?\",\"answer\":\"You swap the numerator and denominator of the divisor fraction and change the division operation to multiplication.\"},{\"question\":\"Is there a shortcut for dividing fractions by whole numbers?\",\"answer\":\"Yes, a shortcut is to multiply the denominator of the fraction by the whole number you are dividing by to reach the final answer.\"}]","How to Divide Fractions by Whole Numbers - Math Education Guide | PDF",1792674957]