[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-474801-105":59,"doc-detail-474801-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","estimating-multiplication-of-fractions","Estimating Multiplication of Fractions","","Practice set on estimating the product when multiplying a fraction by a whole number. The material explains estimating by treating the fraction as part of a number and using nearby whole numbers for bounds. It provides a worked example (e.g., comparing 6 2/3 to 6 and 7) and then multiple-choice problems where students choose an estimated answer. Answer-key sections list the correct letter choices for the given items.",{"@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/estimating-multiplication-of-fractions/474801/",{"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/estimating-multiplication-of-fractions/474801.png","ImageObject",300,407,{"name":92,"@type":93},"นรินทร์","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-08","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},"How do you estimate a fraction multiplied by a whole number?","Question",{"text":112,"@type":113},"Treat the fraction as part of a number and bound it between nearby whole numbers. Use those bounds to estimate the multiplication range and choose the closest option.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does the worked example show?",{"text":117,"@type":113},"It compares 6 2/3 to 6 and 7 to establish that the result must be between 5×6 and 5×7, then uses the actual product 33 1/3 as verification.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the problems formatted and graded?",{"text":121,"@type":113},"Each problem is written as a multiplication involving a fraction and a whole number, followed by answer choices labeled A–D. The answer key provides the correct letter for each item.","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},474801,1791476163,{"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},2336475104957,"https://ap-avatar.wpscdn.com/avatar/22000c4c6bd8a5076e1?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787554080175789136","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","cbCaiiNDUWVdfq9Z","https://ap.wps.com/l/cbCaiiNDUWVdfq9Z","pdf",525245,"English","# Determine the answer using estimation","[{\"question\":\"How do you estimate a fraction multiplied by a whole number?\",\"answer\":\"Treat the fraction as part of a number and bound it between nearby whole numbers. Use those bounds to estimate the multiplication range and choose the closest option.\"},{\"question\":\"What does the worked example show?\",\"answer\":\"It compares 6 2/3 to 6 and 7 to establish that the result must be between 5×6 and 5×7, then uses the actual product 33 1/3 as verification.\"},{\"question\":\"How are the problems formatted and graded?\",\"answer\":\"Each problem is written as a multiplication involving a fraction and a whole number, followed by answer choices labeled A–D. The answer key provides the correct letter for each item.\"}]","Estimating Multiplication of Fractions | PDF",1790784818,76]