[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-463715-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-463715-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","estimating-multiplication-of-fractions","Estimating Multiplication of Fractions","","Worksheets focused on estimating products when multiplying a fraction by a whole number. Explains the core idea that a fraction represents a part of a number, so the multiplier can be bounded between the nearest integers. Includes worked example showing how to predict the answer range and then compares with the exact result. Provides multiple choice practice items for the learner to choose the estimated product, plus an answer key section.",{"@graph":14,"@context":72},[15,34,55],{"@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/estimating-multiplication-of-fractions/463715/",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/estimating-multiplication-of-fractions/463715.png","ImageObject",300,407,{"name":42,"@type":43},"Patrick","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you estimate when multiplying a fraction by a whole number?","Question",{"text":62,"@type":63},"Remember the fraction is only part of a whole number. Use nearby whole numbers to form an interval for the estimated product.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What does the worked example show?",{"text":67,"@type":63},"It shows that when the fraction is between two integers, the product will fall between the corresponding integer products, and then compares that range to the exact answer.",{"name":69,"@type":60,"acceptedAnswer":70},"Are there practice problems and an answer key included?",{"text":71,"@type":63},"Yes. The worksheet lists multiple problems (with options) and provides a separate answer key with the correct selections.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},463715,1790767012,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":22,"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":79,"read_time":110},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","Estimating Multiplication of Fractions  \nName:  \n\n| Determine the answer using estimation. |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>When multiplying a fraction and a whole number you can estimate the answer by remembering that the fraction is just part of a number.\u003Cbr>5 × 6 2⁄3 = In the example above, 6 2⁄3 is larger than 6 but less than 7. So we know the answer is going to be between 5 × 6 and\u003Cbr>5 × 7.\u003Cbr>5 × 6 2⁄3 = 33 1⁄3 The actual answer is 33 1⁄3\u003Cbr>which is between 5 × 6 (30) and 5 × 7 (35) .\u003Cbr>1) 9 4⁄ 10 × 3 = A. 32 1⁄ 5 B. 23 2⁄ 5 C. 28 1⁄ 5 D. 26 2⁄ 5\u003Cbr>2) 3 × 7 4⁄ 9 = A. 21 4⁄ 9 B. 19 1⁄ 3 C. 22 1⁄ 3 D. 18 4⁄ 9\u003Cbr>3) 7 × 3 1⁄ 2 = A. 17 1⁄ 2 B. 17 1⁄ 2 C. 24 1⁄ 2 D. 14 1⁄ 2\u003Cbr>4) 7 × 2 5⁄ 8 = A. 7 3⁄ 8 B. 18 3⁄ 8 C. 18 5⁄ 8 D. 24 3⁄ 8 |  |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |\n| 5)\u003Cbr>6) | 8 × 3 4⁄ 8 =\u003Cbr>4 × 4 4⁄ 6 = | A. 28 B. 21 1⁄ 2\u003Cbr>A. 18 2⁄ 3 B. 13 2⁄ 3 | C. | C. 20\u003Cbr>14 2⁄ 3 | D. 40\u003Cbr>D. 13 2⁄ 3 |  |  |  |  |  | 10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| 7) | 8 × 4 4⁄ 6 = | A. 37 1⁄ 3 B. 48 1⁄ 3 | C. | 28 1⁄ 3 | D. 43 1⁄ 3 |  |  |  |  |  |  |  |  |  |\n| 8) | 4 1⁄ 2 × 7 = | A. 38 1⁄ 2 B. 21 1⁄ 2 | C. | 24 1⁄ 2 | D. 31 1⁄ 2 |  |  |  |  |  |  |  |  |  |\n| 9) | 5 × 5 6⁄ 8 = | A. 28 3⁄ 4 B. 23 3⁄ 4 | C. | 34 3⁄ 4 | D. 35 3⁄ 4 |  |  |  |  |  |  |  |  |  |\n| 10) | 4 × 5 1⁄ 3 = | A. 18 1⁄ 3 B. 18 1⁄ 3 | C. | 21 1⁄ 3 | D. 17 1⁄ 3 |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nEstimating Multiplication of Fractions  \nName: Answer Key  \n\n| Determine the answer using estimation. |  |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>When multiplying a fraction and a whole number you can estimate the answer by remembering that the fraction is just part of a number.\u003Cbr>5 × 6 2⁄3 = In the example above, 6 2⁄3 is larger than 6 but less than 7. So we know the answer is going to be between 5 × 6 and\u003Cbr>5 × 7.\u003Cbr>5 × 6 2⁄3 = 33 1⁄3 The actual answer is 33 1⁄3\u003Cbr>which is between 5 × 6 (30) and 5 × 7 (35) . |  |  |  |  |  |  |  |  |  |  |  | 1.  C \u003Cbr>2.  C \u003Cbr>3.  C \u003Cbr>4.  B \u003Cbr>5.  A \u003Cbr>6.  A \u003Cbr>7.  A \u003Cbr>8.  D \u003Cbr>9.  A \u003Cbr>10.  C \u003Cbr>11.  D \u003Cbr>12.  B  |  |  |  |\n| 1) 9 4⁄ 10 × 3 = A. 32 1⁄ 5 B. 23 2⁄ 5\u003Cbr>2) 3 × 7 4⁄ 9 = A. 21 4⁄ 9 B. 19 1⁄ 3\u003Cbr>3) 7 × 3 1⁄ 2 = A. 17 1⁄ 2 B. 17 1⁄ 2\u003Cbr>4) 7 × 2 5⁄ 8 = A. 7 3⁄ 8 B. 18 3⁄ 8\u003Cbr>5) 8 × 3 4⁄ 8 = A. 28 B. 21 1⁄ 2\u003Cbr>6) 4 × 4 4⁄ 6 = A. 18 2⁄ 3 B. 13 2⁄ 3 |  |  |  | C. 28 1⁄ 5\u003Cbr>C. 22 1⁄ 3\u003Cbr>C. 24 1⁄ 2\u003Cbr>C. 18 5⁄ 8\u003Cbr>C. 20\u003Cbr>C. 14 2⁄ 3 |  | D. 26 2⁄ 5\u003Cbr>D. 18 4⁄ 9\u003Cbr>D. 14 1⁄ 2\u003Cbr>D. 24 3⁄ 8\u003Cbr>D. 40\u003Cbr>D. 13 2⁄ 3 |  |  |  |  |  |  |  |  |  |\n| 7) | 8 × 4 4⁄ 6 = | A. 37 1⁄ 3 B. 48 1⁄ 3 | C. |  | 28 1⁄ 3 | D. 43 1⁄ 3 |  |  |  |  |  |  |  |  |  |\n| 8) | 4 1⁄ 2 × 7 = | A. 38 1⁄ 2 B. 21 1⁄ 2 | C. |  | 24 1⁄ 2 | D. 31 1⁄ 2 |  |  |  |  |  |  |  |  |  |\n| 9) | 5 × 5 6⁄ 8 = | A. 28 3⁄ 4 B. 23 3⁄ 4 | C. |  | 34 3⁄ 4 | D. 35 3⁄ 4 |  |  |  |  |  |  |  |  |  |\n| 10) | 4 × 5 1⁄ 3 = | A. 18 1⁄ 3 B. 18 1⁄ 3 | C. |  | 21 1⁄ 3 | D. 17 1⁄ 3 |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 |  | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nEstimating Multiplication of Fractions  \nName:  \n\n| Determine the answer using estimation.\u003Cbr>\u003Cbr>When multiplying a fraction and a whole number you can estimate the answer by remembering that the fraction is just part of a number.\u003Cbr>5 × 6 2⁄3 = In the example above, 6 2⁄3 is larger than 6 but less than 7. So we know the answer is going to be between 5 × 6 and\u003Cbr>5 × 7.\u003Cbr>5 × 6 2⁄3 = 33 1⁄3 The","cbCaiezpDz4jwjFd","https://ap.wps.com/l/cbCaiezpDz4jwjFd","pdf",51914,"English","# Determine the answer using estimation\n## Estimating a fraction times a whole number\n## Practice problems (1-12)\n## Answer key","[{\"question\":\"How do you estimate when multiplying a fraction by a whole number?\",\"answer\":\"Remember the fraction is only part of a whole number. Use nearby whole numbers to form an interval for the estimated product.\"},{\"question\":\"What does the worked example show?\",\"answer\":\"It shows that when the fraction is between two integers, the product will fall between the corresponding integer products, and then compares that range to the exact answer.\"},{\"question\":\"Are there practice problems and an answer key included?\",\"answer\":\"Yes. The worksheet lists multiple problems (with options) and provides a separate answer key with the correct selections.\"}]","Estimating Multiplication of Fractions | PDF"]