[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-463717-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-463717-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","multiplying-fractions-by-whole-numbers-visual-worksheet","Multiplying Fractions by Whole Numbers (visual) - Worksheet","","Worksheet and answer key for multiplying fractions by whole numbers using a visual model. Students practice interpreting multiplication as repeated addition of fractional parts, then shade fraction units to represent multiplying by a whole number. The main example explains that 2/4 multiplied by 3 corresponds to three shaded 2/4 pieces, which combine into 1 whole and 2/4. Six problems require completing products expressed with fractional results.",{"@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/multiplying-fractions-by-whole-numbers-visual-worksheet/463717/",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/multiplying-fractions-by-whole-numbers-visual-worksheet/463717.png","ImageObject",300,407,{"name":42,"@type":43},"Patrick","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-05","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How should students use the visual model to solve fraction-by-whole-number problems?","Question",{"text":63,"@type":64},"Shade the fractional part as many times as the whole number indicates, then combine the shaded regions to form the product.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Why does 2/4 × 3 equal 1 and 2/4?",{"text":68,"@type":64},"Three shaded groups of 2/4 combine into 3 copies of 2/4, which form 1 whole plus an additional 2/4.",{"name":70,"@type":61,"acceptedAnswer":71},"What strategy does the worksheet emphasize besides shading?",{"text":72,"@type":64},"Treat multiplication of fractions as repeated addition of the same fraction parts.","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},463717,1790767023,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"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":55,"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":80,"read_time":110},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","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","cbCaip4uFDv1901q","https://ap.wps.com/l/cbCaip4uFDv1901q","pdf",59241,"English","# Use the visual model to solve each problem","[{\"question\":\"How should students use the visual model to solve fraction-by-whole-number problems?\",\"answer\":\"Shade the fractional part as many times as the whole number indicates, then combine the shaded regions to form the product.\"},{\"question\":\"Why does 2/4 × 3 equal 1 and 2/4?\",\"answer\":\"Three shaded groups of 2/4 combine into 3 copies of 2/4, which form 1 whole plus an additional 2/4.\"},{\"question\":\"What strategy does the worksheet emphasize besides shading?\",\"answer\":\"Treat multiplication of fractions as repeated addition of the same fraction parts.\"}]","Multiplying Fractions by Whole Numbers (visual) - Worksheet | PDF"]