[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480806-105":59,"doc-detail-480806-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-name","Choosing an Equivalent Expression - Decimals and Fractions - Name","","Choosing an Equivalent Expression (Decimals and Fractions) focuses on selecting expressions that are mathematically equal while also identifying forms that are easier to solve. The worksheet presents ten multi-step problems combining decimals, fractions, addition, and multiplication. Each question provides several alternative algebraic expressions, requiring students to compare and choose the one that matches the same value. An answer key is included for verification.",{"@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-name/480806/",{"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-name/480806.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","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 is the main skill practiced in this worksheet?","Question",{"text":112,"@type":113},"Students practice choosing equivalent expressions that produce the same value, especially when decimals and fractions are involved.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems presented?",{"text":117,"@type":113},"Each problem gives multiple expression choices that use combinations of addition and multiplication with fractions or decimals.",{"name":119,"@type":110,"acceptedAnswer":120},"Is an answer key provided?",{"text":121,"@type":113},"Yes. The document includes an “Answer Key” section listing the correct choices for the numbered problems.","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},480806,1792878711,{"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":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 5⁄ 12 + 6 + 7⁄ 12?\u003Cbr>A. ( 5⁄ 12 × 7⁄ 12) + 6 B. 5⁄ 12 + (6 × 7⁄ 12)\u003Cbr>C. ( 5⁄ 12 + 7⁄ 12) + 7 D. ( 5⁄ 12 + 7⁄ 12) + 6 |  |  |  | Answers |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | 1.  \u003Cbr>2.   |\n| 2) | Which expression is equal to 2⁄ 3 × 7 × 3?\u003Cbr>A. ( 2⁄ 3 + 3) × 7 B. |  | 2⁄ 3 × (7 + 3) | 3.   |\n| 3) | C. ( 2⁄ 3 × 3) × 8\u003Cbr>Which expression is equal to A. (0 . 5 × 8) × 5\u003Cbr>C. 0.5 × (4 + 8) | D.\u003Cbr>0.5 × 4 × 8?\u003Cbr>B.\u003Cbr>D. | ( 2⁄ 3 × 3) × 7\u003Cbr>(0 . 5 × 8) × 4\u003Cbr>(0 . 5 + 8) × 4 | 4.  \u003Cbr>5.   |\n| 4) | Which expression is equal to A. (1 .25 × 3 .75) + 7.3\u003Cbr>C. (1 .25 + 3 .75) + 7.3 | 1.25 + 7.3 + 3.75?\u003Cbr>B.\u003Cbr>D. | (1 .25 + 3 .75) + 8.3\u003Cbr>1.25 + (7.3 × 3.75) | 6.  \u003Cbr>7.   |\n| 5) | Which expression is equal to A. (0 .35 × 0 . 65) + 3.6\u003Cbr>C. (0 .35 + 0 . 65) + 3.6 | 0.35 + 3.6 + 0.65?\u003Cbr>B.\u003Cbr>D. | 0.35 + (3.6 × 0.65)\u003Cbr>(0 .35 + 0 . 65) + 4.6 | 8.  \u003Cbr>9.   |\n| 6) | Which expression is equal to A. (0 .8 × 5) × 4\u003Cbr>C. 0.8 × (4 + 5) | 0.8 × 4 × 5?\u003Cbr>B.\u003Cbr>D. | (0 .8 + 5) × 4\u003Cbr>(0 .8 × 5) × 5 | 10.   |\n| 7) | Which expression is equal to | 1⁄ 10 + 5 + 9⁄ 10? |  |  |\n| 8) | A. ( 1⁄ 10 × 9⁄ 10) + 5\u003Cbr>C. ( 1⁄ 10 + 9⁄ 10) + 6 Which expression is equal to | B.\u003Cbr>D.\u003Cbr>5\u003Cbr>⁄ 12 × 6 × 12? | ( 1⁄ 10 + 9⁄ 10) + 5\u003Cbr>1⁄ 10 + (5 × 9⁄ 10) |  |\n| 9) | A. 5⁄ 12 × (6 + 12)\u003Cbr>C. ( 5⁄ 12 + 12) × 6\u003Cbr>Which expression is equal to | B.\u003Cbr>D.\u003Cbr>3 7\u003Cbr>⁄ 10 + 5 + ⁄ 10? | ( 5⁄ 12 × 12) × 6\u003Cbr>( 5⁄ 12 × 12) × 7 |  |\n| 10) | A. ( 3⁄ 10 × 7⁄ 10) + 5\u003Cbr>C. 3⁄ 10 + (5 × 7⁄ 10) Which expression is equal to\u003Cbr>A. ( 1⁄ 3 × 3) × 10\u003Cbr>C. ( 1⁄ 3 + 3) × 9 | B.\u003Cbr>D.\u003Cbr>1\u003Cbr>⁄ 3 × 9 × 3?\u003Cbr>B.\u003Cbr>D. | ( 3⁄ 10 + 7⁄ 10) + 6\u003Cbr>( 3⁄ 10 + 7⁄ 10) + 5\u003Cbr>( 1⁄ 3 × 3) × 9 1⁄ 3 × (9 + 3) |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-10)[ 9](Math www.CommonCoreSheets.com 9 1-10)[ 1-10](Math www.CommonCoreSheets.com 9 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\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 5⁄ 12 + 6 + 7⁄ 12?\u003Cbr>A. ( 5⁄ 12 × 7⁄ 12) + 6 B. 5⁄ 12 + (6 × 7⁄ 12)\u003Cbr>C. ( 5⁄ 12 + 7⁄ 12) + 7 D. ( 5⁄ 12 + 7⁄ 12) + 6 |  |  |  | Answers |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  |  |  | 1.  D \u003Cbr>2.  D  |  |\n| 2) | Which expression is equal to 2⁄ 3 × 7 × 3?\u003Cbr>A. ( 2⁄ 3 + 3) × 7 B. |  | 2⁄ 3 × (7 + 3) | 3. | B |\n|  |  |  |  |  |  |\n| 3) | C. ( 2⁄ 3 × 3) × 8\u003Cbr>Which expression is equal to A. (0 . 5 × 8) × 5\u003Cbr>C. 0.5 × (4 + 8) | D.\u003Cbr>0.5 × 4 × 8?\u003Cbr>B.\u003Cbr>D. | ( 2⁄ 3 × 3) × 7\u003Cbr>(0 . 5 × 8) × 4\u003Cbr>(0 . 5 + 8) × 4 | 4.\u003Cbr>5.\u003Cbr>6. | C |\n|  |  |  |  |  | C |\n|  |  |  |  |  | A |\n| 4) | Which expression is equal to A. (1 .25 × 3 .75) + 7.3\u003Cbr>C. (1 .25 + 3 .75) + 7.3 | 1.25 + 7.3 + 3.75?\u003Cbr>B.\u003Cbr>D. | (1 .25 + 3 .75) + 8.3\u003Cbr>1.25 + (7.3 × 3.75) | 7. | B |\n|  |  |  |  |  |  |\n| 5) | Which expression is equal to A. (0 .35 × 0 . 65) + 3.6\u003Cbr>C. (0 .35 + 0 . 65) + 3.6 | 0.35 + 3.6 + 0.65?\u003Cbr>B.\u003Cbr>D. | 0.35 + (3.6 × 0.65)\u003Cbr>(0 .35 + 0 . 65) + 4.6 | 8.\u003Cbr>9. | B |\n|  |  |  |  |  | D |\n|  |  |  |  |  |  |\n| 6) | Which expression is equal to A. (0 .8 × 5) × 4\u003Cbr>C. 0.8 × (4 + 5) | 0.8 × 4 × 5?\u003Cbr>B.\u003Cbr>D. | (0 .8 + 5) × 4\u003Cbr>(0 .8 × 5) × 5 | 10. | B |\n|  |  |  |  |  |  |\n| 7) | Which expression is equal to | 1⁄ 10 + 5 + 9⁄ 10? |  |  |  |\n| 8) | A. ( 1⁄ 10 × 9⁄ 10) + 5\u003Cbr>C. ( 1⁄ 10 + 9⁄ 10) + 6 Which expression is equal to | B.\u003Cbr>D.\u003Cbr>5\u003Cbr>⁄ 12 × 6 × 12? | ( 1⁄ 10 + 9⁄ 10) + 5\u003Cbr>1⁄ 10 + (5 × 9⁄ 10) |  |  |\n| 9) | A. 5⁄ 12 × (6 + 12)\u003Cbr>C. ( 5⁄ 12 + 12) × 6\u003Cbr>Which expression is equal to | B.\u003Cbr>D.\u003Cbr>3 7\u003Cbr>⁄ 10 + 5 + ⁄ 10? | ( 5⁄ 12 × 12) × 6\u003Cbr>( 5⁄ 12 × 12) × 7 |  |  |\n| 10) | A. ( 3⁄ 10 × 7⁄ 10) + 5","cbCaisAbHoGVRd1s","https://ap.wps.com/l/cbCaisAbHoGVRd1s","pdf",47405,"English","# Choosing an Equivalent Expression (Decimals and Fractions)\n## Problem Set (1-10)\n## Answer Key","[{\"question\":\"What is the main skill practiced in this worksheet?\",\"answer\":\"Students practice choosing equivalent expressions that produce the same value, especially when decimals and fractions are involved.\"},{\"question\":\"How are the problems presented?\",\"answer\":\"Each problem gives multiple expression choices that use combinations of addition and multiplication with fractions or decimals.\"},{\"question\":\"Is an answer key provided?\",\"answer\":\"Yes. The document includes an “Answer Key” section listing the correct choices for the numbered problems.\"}]","Choosing an Equivalent Expression - Decimals and Fractions - Name | PDF",1790795624]