[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-474822-105":59,"doc-detail-474822-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","multiplying-fractions-by-whole-numbers-visual-use-the-visual-model","Multiplying Fractions by Whole Numbers (visual) - Use the visual model","","Multiplying Fractions by Whole Numbers (visual) worksheet guides students to solve fraction-multiplication problems using a visual model. It introduces the idea of rewriting multiplication as repeated addition, illustrated with 2/4 × 3. Learners shade 2/4 three times to see the result as whole and fractional parts, reinforcing that the combined shaded areas equal 1 2/4. A set of practice items is provided along with an answer key for checking results.",{"@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/multiplying-fractions-by-whole-numbers-visual-use-the-visual-model/474822/",{"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/multiplying-fractions-by-whole-numbers-visual-use-the-visual-model/474822.png","ImageObject",300,407,{"name":92,"@type":93},"Melati","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-09","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What strategy does the worksheet use to multiply a fraction by a whole number?","Question",{"text":112,"@type":113},"It treats multiplication as repeated addition, as shown by rewriting the example as adding 2/4 three times.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does shading help with 2/4 × 3?",{"text":117,"@type":113},"Students shade 2/4 three times to visualize the total area, which becomes 1 whole and 2/4.",{"name":119,"@type":110,"acceptedAnswer":120},"What are the worksheet materials for?",{"text":121,"@type":113},"It provides problems to solve with the visual method and an answer key for verification.","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},474822,1790824250,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},962085570644,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Multiplying Fractions by Whole Numbers (visual) Name:  \n\n| Use the visual model to solve each problem.\u003Cbr>\u003Cbr>2⁄4 × 3 =\u003Cbr>To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:\u003Cbr>2 2 2\u003Cbr>⁄4 + ⁄4 + ⁄4\u003Cbr>2⁄4 × 3 =\u003Cbr>If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.\u003Cbr>\u003Cbr>2⁄4 × 3 = 1 2⁄4 After shading it in we can see why 2/4 three times is equal to 1 whole and\u003Cbr>2\u003Cbr>⁄4.\u003Cbr>\u003Cbr>1) ~~ ~~45~~ ~~×4=\u003Cbr>\u003Cbr>2) ~~ ~~110~~ ~~×3 =\u003Cbr>\u003Cbr>3) ~~ ~~34~~ ~~× 5 =\u003Cbr>\u003Cbr>4) ~~ ~~13~~ ~~×2=\u003Cbr>\u003Cbr>5) ~~ ~~25~~ ~~× 5 =\u003Cbr>\u003Cbr>6) ~~ ~~46~~ ~~×3 =\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. |  | Answers\u003Cbr>|  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 1-6 | 83 | 67 |  | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \n Multiplying Fractions by Whole Numbers (visual) Name: Answer Key  \n\n| Use the visual model to solve each problem.\u003Cbr>\u003Cbr>2⁄4 × 3 =\u003Cbr>To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:\u003Cbr>2 2 2\u003Cbr>⁄4 + ⁄4 + ⁄4\u003Cbr>2⁄4 × 3 =\u003Cbr>If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.\u003Cbr>\u003Cbr>2⁄4 × 3 = 1 2⁄4 After shading it in we can see why 2/4 three times is equal to 1 whole and\u003Cbr>2\u003Cbr>⁄4.\u003Cbr>\u003Cbr>1) ~~ ~~45~~ ~~×4=\u003Cbr>\u003Cbr>2) ~~ ~~110~~ ~~×3 =\u003Cbr>\u003Cbr>3) ~~ ~~34~~ ~~× 5 =\u003Cbr>\u003Cbr>4) ~~ ~~13~~ ~~×2=\u003Cbr>\u003Cbr>5) ~~ ~~25~~ ~~× 5 =\u003Cbr>\u003Cbr>6) ~~ ~~46~~ ~~×3 =\u003Cbr>| Answers\u003Cbr>3  1 \u003Cbr>1.  5   3 \u003Cbr>2.  10 \u003Cbr>3  3 \u003Cbr>3.  4   2 \u003Cbr>4.  3 \u003Cbr>5.  2  6.  2  |\n| --- | --- |\n\n[Math](Math www.CommonCoreSheets.com 1 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-6)[ 1](Math www.CommonCoreSheets.com 1 1-6)[ 1-6](Math www.CommonCoreSheets.com 1 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\n Multiplying Fractions by Whole Numbers (visual) Name:  \n\n| Use the visual model to solve each problem.\u003Cbr>\u003Cbr>2⁄4 × 3 =\u003Cbr>To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:\u003Cbr>2 2 2\u003Cbr>⁄4 + ⁄4 + ⁄4\u003Cbr>2⁄4 × 3 =\u003Cbr>If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.\u003Cbr>\u003Cbr>2⁄4 × 3 = 1 2⁄4 After shading it in we can see why 2/4 three times is equal to 1 whole and\u003Cbr>2\u003Cbr>⁄4.\u003Cbr>|  | Answers\u003Cbr>\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>\u003Cbr>3.  \u003Cbr>\u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>3 ~~ ~~15~~ ~~ ~~ ~~23~~ ~~ ~~ ~~130~~ ~~ 2 3 ~~ ~~34~~ ~~ 2 |  |  |  |  |  |  |  |  |\n| 1) ~~ ~~45~~ ~~×4=\u003Cbr>\u003Cbr>2) ~~ ~~110~~ ~~×3 =\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>3) ~~ ~~34~~ ~~× 5 =\u003Cbr>\u003Cbr>4) ~~ ~~13~~ ~~×2=\u003Cbr>\u003Cbr>5) ~~ ~~25~~ ~~× 5 =\u003Cbr>\u003Cbr>6) ~~ ~~46~~ ~~×3 =\u003Cbr>|  |  |  |  |  |  |  |  |\n| 1-7 | 86 |  | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n Multiplying Fractions by Whole Numbers (visual) Name:  \n\n| Use the visual model to solve each problem.\u003Cbr>\u003Cbr>2⁄4 × 3 =\u003Cbr>To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:\u003Cbr>2 2 2\u003Cbr>⁄4 + ⁄4 + ⁄4\u003Cbr>2⁄4 × 3 =\u003Cbr>If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.\u003Cbr>\u003Cbr>2⁄4 × 3 = 1 2⁄4 After shading it in we can see why 2/4 three times is equal to 1 whole and\u003Cbr>2\u003Cbr>⁄4.\u003Cbr>\u003Cbr>1) ~~ ~~14~~ ~~×2=\u003Cbr>\u003Cbr>2) ~~ ~~15~~ ~~× 5 =\u003Cbr>\u003Cbr>3) ~~ ~~18~~ ~~× 5 =\u003Cbr>\u003Cbr>4) ~~ ~~152~~ ~~×4=\u003Cbr>\u003Cbr>5) ~~ ~~172~~ ~~×3 =\u003Cbr>\u003Cbr>6) ~~ ~~13~~ ~~×3 ","cbCaiavQLcuLT9bi","https://ap.wps.com/l/cbCaiavQLcuLT9bi","pdf",611972,"English","# Use the visual model\n## Convert multiplication to repeated addition\n## Shade and combine fractional parts\n## Solve each problem and check answers","[{\"question\":\"What strategy does the worksheet use to multiply a fraction by a whole number?\",\"answer\":\"It treats multiplication as repeated addition, as shown by rewriting the example as adding 2/4 three times.\"},{\"question\":\"How does shading help with 2/4 × 3?\",\"answer\":\"Students shade 2/4 three times to visualize the total area, which becomes 1 whole and 2/4.\"},{\"question\":\"What are the worksheet materials for?\",\"answer\":\"It provides problems to solve with the visual method and an answer key for verification.\"}]","Multiplying Fractions by Whole Numbers (visual) - Use the visual model | PDF",1790784859,76]