[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480802-105":59,"doc-detail-480802-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","choosing-an-equivalent-expression-decimals-and-fractions-answer-key","Choosing an Equivalent Expression (Decimals and Fractions) - Answer Key","","Worksheet answer key for selecting equivalent algebraic expressions using decimals and fractions. Tasks present multiple-choice items asking learners to choose the expression that is equal and easier to compute, typically by regrouping factors into addition inside parentheses or simplifying sums of like fractional addends. Questions cover products of fractions, products with decimals, and combined fractional-then-addition forms, followed by a corresponding answer list for items 1 through 10.",{"@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/choosing-an-equivalent-expression-decimals-and-fractions-answer-key/480802/",{"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/choosing-an-equivalent-expression-decimals-and-fractions-answer-key/480802.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",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 skill do the questions test in this worksheet?","Question",{"text":112,"@type":113},"They test choosing an expression that is mathematically equivalent and easier to solve by rearranging operations with decimals and fractions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the expressions typically made equivalent?",{"text":117,"@type":113},"By using properties of multiplication and addition, such as regrouping factors into sums within parentheses or combining like fractional parts.",{"name":119,"@type":110,"acceptedAnswer":120},"Where are the solutions provided?",{"text":121,"@type":113},"The document provides an answer key listing the correct choices for items 1 through 10.","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},480802,1792834297,{"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":81,"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":39},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Choosing an Equivalent Expression (Decimals and Fractions) Name:  \n\n| Choose the expression that is equal and is easier to solve.\u003Cbr>1) Which expression is equal to 3⁄ 8 × 7 × 8?\u003Cbr>A. ( 3⁄ 8 × 8) × 8 B. ( 3⁄ 8 + 8) × 7 |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | C. 3⁄ 8 × (7 + 8)\u003Cbr>Which expression is equal to A. (2 . 6 + 7 .4) + 6.1\u003Cbr>C. (2 . 6 × 7 .4) + 6.1 | D.\u003Cbr>2.6 + 6.1 + 7.4?\u003Cbr>B.\u003Cbr>D. | ( 3⁄ 8 × 8) × 7\u003Cbr>2.6 + (6 .1 × 7 .4)\u003Cbr>(2 . 6 + 7 .4) + 7.1 |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | Which expression is equal to A. (0 . 5 × 2) × 4\u003Cbr>C. (0 . 5 + 2) × 3 | 0.5 × 3 × 2?\u003Cbr>B.\u003Cbr>D. | (0 . 5 × 2) × 3\u003Cbr>0.5 × (3 + 2) |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | Which expression is equal to\u003Cbr>A. ( 1⁄ 4 + 3⁄ 4) + 6\u003Cbr>C. ( 1⁄ 4 × 3⁄ 4) + 6 | 1⁄ 4 + 6 + 3⁄ 4?\u003Cbr>B.\u003Cbr>D. | ( 1⁄ 4 + 3⁄ 4) + 7\u003Cbr>1⁄ 4 + (6 × 3⁄ 4) |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8. |  |  |  |\n| 5) | Which expression is equal to A. ( 5⁄ 12 + 7⁄ 12) + 9 | 5⁄ 12 + 9 + 7⁄ 12? B. | 5⁄ 12 + (9 × 7⁄ 12) |  |  |  |  |  |  | 9.   |  |  |  |\n| 6) | C. ( 5⁄ 12 × 7⁄ 12) + 9\u003Cbr>Which expression is equal to | D.\u003Cbr>5\u003Cbr>⁄ 8 × 9 × 8? | ( 5⁄ 12 + 7⁄ 12) + 10 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | A. ( 5⁄ 8 + 8) × 9\u003Cbr>C. 5⁄ 8 × (9 + 8)\u003Cbr>Which expression is equal to A. (7 .25 × 2 .75) + 8.6\u003Cbr>C. (7 .25 + 2 .75) + 8.6 | B.\u003Cbr>D.\u003Cbr>7.25 + 8.6 + 2.75?\u003Cbr>B.\u003Cbr>D. | ( 5⁄ 8 × 8) × 10\u003Cbr>( 5⁄ 8 × 8) × 9\u003Cbr>(7 .25 + 2 .75) + 9.6\u003Cbr>7.25 + (8.6 × 2.75) |  |  |  |  |  |  |  |  |  |  |\n| 8) | Which expression is equal to A. (0 .25 × 8) × 7\u003Cbr>C. (0 .25 × 8) × 8 | 0.25 × 7 × 8?\u003Cbr>B.\u003Cbr>D. | (0 .25 + 8) × 7\u003Cbr>0.25 × (7 + 8) |  |  |  |  |  |  |  |  |  |  |\n| 9) | Which expression is equal to A. (1 .25 × 4) × 8\u003Cbr>C. (1 .25 × 4) × 9 | 1.25 × 8 × 4?\u003Cbr>B.\u003Cbr>D. | 1.25 × (8 + 4)\u003Cbr>(1 .25 + 4) × 8 |  |  |  |  |  |  |  |  |  |  |\n| 10) | Which expression is equal to\u003Cbr>A. 5⁄ 6 × (7 + 6)\u003Cbr>C. ( 5⁄ 6 × 6) × 7 | 5\u003Cbr>⁄ 6 × 7 × 6?\u003Cbr>B.\u003Cbr>D. | ( 5⁄ 6 × 6) × 8\u003Cbr>( 5⁄ 6 + 6) × 7 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n Choosing an Equivalent Expression (Decimals and Fractions) Name: Answer Key  \n\n| Choose the expression that is equal and is easier to solve.\u003Cbr>1) Which expression is equal to 3⁄ 8 × 7 × 8?\u003Cbr>A. ( 3⁄ 8 × 8) × 8 B. ( 3⁄ 8 + 8) × 7 |  |  |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  D  |  |  |  |  |\n| 2) | C. 3⁄ 8 × (7 + 8)\u003Cbr>Which expression is equal to A. (2 . 6 + 7 .4) + 6.1\u003Cbr>C. (2 . 6 × 7 .4) + 6.1 | D.\u003Cbr>2.6 + 6.1 + 7.4?\u003Cbr>B.\u003Cbr>D. | ( 3⁄ 8 × 8) × 7\u003Cbr>2.6 + (6 .1 × 7 .4)\u003Cbr>(2 . 6 + 7 .4) + 7.1 |  |  |  |  |  |  | 2.\u003Cbr>3.\u003Cbr>4. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | A |  |  |\n| 3) | Which expression is equal to A. (0 . 5 × 2) × 4\u003Cbr>C. (0 . 5 + 2) × 3 | 0.5 × 3 × 2?\u003Cbr>B.\u003Cbr>D. | (0 . 5 × 2) × 3\u003Cbr>0.5 × (3 + 2) |  |  |  |  |  |  | 5.\u003Cbr>6. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | D |  |  |\n| 4) | Which expression is equal to\u003Cbr>A. ( 1⁄ 4 + 3⁄ 4) + 6\u003Cbr>C. ( 1⁄ 4 × 3⁄ 4) + 6 | 1⁄ 4 + 6 + 3⁄ 4?\u003Cbr>B.\u003Cbr>D. | ( 1⁄ 4 + 3⁄ 4) + 7\u003Cbr>1⁄ 4 + (6 × 3⁄ 4) |  |  |  |  |  |  | 7.\u003Cbr>8. |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | A |  |  |\n| 5) | Which expression is equal to A. ( 5⁄ 12 + 7⁄ 12) + 9 | 5⁄ 12 + 9 + 7⁄ 12? B. | 5⁄ 12 + (9 × 7⁄ 12) |  |  |  |  |  |  | 9. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | C. ( 5⁄ 12 × 7⁄ 12) + 9\u003Cbr>Which expression is equal to | D.\u003Cbr>5\u003Cbr>⁄ 8 × 9 × 8? | ( 5⁄ 12 + 7⁄ 12) + 10 |  |  |  |  |  |  | 10. |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | A. ( 5⁄ 8 + 8) × 9\u003Cbr>C. 5⁄ 8 × (9 + 8)\u003Cbr>Wh","cbCaikX2b0f0vSsQ","https://ap.wps.com/l/cbCaikX2b0f0vSsQ","pdf",47000,"English","# Choose the expression that is equal and easier to solve\n## Questions 1-10\n## Answers","[{\"question\":\"What skill do the questions test in this worksheet?\",\"answer\":\"They test choosing an expression that is mathematically equivalent and easier to solve by rearranging operations with decimals and fractions.\"},{\"question\":\"How are the expressions typically made equivalent?\",\"answer\":\"By using properties of multiplication and addition, such as regrouping factors into sums within parentheses or combining like fractional parts.\"},{\"question\":\"Where are the solutions provided?\",\"answer\":\"The document provides an answer key listing the correct choices for items 1 through 10.\"}]","Choosing an Equivalent Expression (Decimals and Fractions) - Answer Key | PDF",1790795617]