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Problems ask students to identify which rewritten form is equal to a given target expression, often using distributive property, regrouping, and equivalent fraction or decimal relationships. Included items cover combinations of addition and multiplication, with multiple-choice options and a corresponding answer for each numbered question.",{"@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/480798/",{"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/480798.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":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill do these questions test?","Question",{"text":112,"@type":113},"They test recognizing equivalent expressions when decimals and fractions are rewritten using operations like regrouping and the distributive property.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems presented?",{"text":117,"@type":113},"Each numbered item gives a target expression and multiple answer choices labeled with options (e.g., A, B, C, D).",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide?",{"text":121,"@type":113},"The answer key lists the correct option for each numbered question so learners can check their selections.","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},480798,1792834297,{"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":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⁄ 4 × 3⁄ 4) + 4 |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 1) | Which expression is equal to A. ( 1⁄ 4 + 3⁄ 4) + 5 | 1⁄ 4 + 4 + 3⁄ 4?\u003Cbr>B. |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | C. 1⁄ 4 + (4 × 3⁄ 4)\u003Cbr>Which expression is equal to A. (3 .8 + 6 .2) + 1.6\u003Cbr>C. 3.8 + (1 . 6 × 6 .2) | D.\u003Cbr>3.8 + 1.6 + 6.2?\u003Cbr>B.\u003Cbr>D. | ( 1⁄ 4 + 3⁄ 4) + 4\u003Cbr>(3 .8 × 6 .2) + 1.6\u003Cbr>(3 .8 + 6 .2) + 2.6 |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | Which expression is equal to A. ( 5⁄ 6 × 6) × 7 | 5\u003Cbr>⁄ 6 × 7 × 6?\u003Cbr>B. | ( 5⁄ 6 × 6) × 8 |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | C. ( 5⁄ 6 + 6) × 7\u003Cbr>Which expression is equal to A. 0.5 × (4 + 2)\u003Cbr>C. (0 . 5 × 2) × 4 | D.\u003Cbr>0.5 × 4 × 2?\u003Cbr>B.\u003Cbr>D. | 5⁄ 6 × (7 + 6)\u003Cbr>(0 . 5 × 2) × 5\u003Cbr>(0 . 5 + 2) × 4 |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8. |  |  |  |\n| 5) | Which expression is equal to A. ( 7⁄ 10 + 10) × 5 | 7\u003Cbr>⁄ 10 × 5 × 10?\u003Cbr>B. | 7⁄ 10 × (5 + 10) |  |  |  |  |  |  | 9.   |  |  |  |\n| 6) | C. ( 7⁄ 10 × 10) × 5\u003Cbr>Which expression is equal to A. (4 .75 × 5 .25) + 4.2\u003Cbr>C. 4.75 + (4 .2 × 5 .25) | D.\u003Cbr>4.75 + 4.2 + 5.25?\u003Cbr>B.\u003Cbr>D. | ( 7⁄ 10 × 10) × 6\u003Cbr>(4 .75 + 5 .25) + 4.2\u003Cbr>(4 .75 + 5 .25) + 5.2 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | Which expression is equal to | 2⁄ 5 + 8 + 3⁄ 5? |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | A. ( 2⁄ 5 × 3⁄ 5) + 8\u003Cbr>C. ( 2⁄ 5 + 3⁄ 5) + 8\u003Cbr>Which expression is equal to A. 0.25 × (5 + 8)\u003Cbr>C. (0 .25 + 8) × 5 | B.\u003Cbr>D.\u003Cbr>0.25 × 5 × 8?\u003Cbr>B.\u003Cbr>D. | ( 2⁄ 5 + 3⁄ 5) + 9\u003Cbr>2⁄ 5 + (8 × 3⁄ 5)\u003Cbr>(0 .25 × 8) × 5\u003Cbr>(0 .25 × 8) × 6 |  |  |  |  |  |  |  |  |  |  |\n| 9) | Which expression is equal to A. (4 .4 + 5 . 6) + 6.9\u003Cbr>C. 4.4 + (5 .9 × 5 . 6) | 4.4 + 5.9 + 5.6?\u003Cbr>B.\u003Cbr>D. | (4 .4 × 5 . 6) + 5.9\u003Cbr>(4 .4 + 5 . 6) + 5.9 |  |  |  |  |  |  |  |  |  |  |\n| 10) | Which expression is equal to\u003Cbr>A. ( 1⁄ 10 + 9⁄ 10) + 5\u003Cbr>C. ( 1⁄ 10 × 9⁄ 10) + 4 | 1⁄ 10 + 4 + 9⁄ 10?\u003Cbr>B.\u003Cbr>D. | ( 1⁄ 10 + 9⁄ 10) + 4\u003Cbr>1⁄ 10 + (4 × 9⁄ 10) |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \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⁄ 4 × 3⁄ 4) + 4 |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1. |  | D |  |  |\n| 1) | Which expression is equal to A. ( 1⁄ 4 + 3⁄ 4) + 5 | 1⁄ 4 + 4 + 3⁄ 4?\u003Cbr>B. |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | C. 1⁄ 4 + (4 × 3⁄ 4)\u003Cbr>Which expression is equal to A. (3 .8 + 6 .2) + 1.6\u003Cbr>C. 3.8 + (1 . 6 × 6 .2) | D.\u003Cbr>3.8 + 1.6 + 6.2?\u003Cbr>B.\u003Cbr>D. | ( 1⁄ 4 + 3⁄ 4) + 4\u003Cbr>(3 .8 × 6 .2) + 1.6\u003Cbr>(3 .8 + 6 .2) + 2.6 |  |  |  |  |  |  | 2.\u003Cbr>3.\u003Cbr>4. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | C |  |  |\n| 3) | Which expression is equal to A. ( 5⁄ 6 × 6) × 7 | 5\u003Cbr>⁄ 6 × 7 × 6?\u003Cbr>B. | ( 5⁄ 6 × 6) × 8 |  |  |  |  |  |  | 5. |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | C. ( 5⁄ 6 + 6) × 7\u003Cbr>Which expression is equal to A. 0.5 × (4 + 2)\u003Cbr>C. (0 . 5 × 2) × 4 | D.\u003Cbr>0.5 × 4 × 2?\u003Cbr>B.\u003Cbr>D. | 5⁄ 6 × (7 + 6)\u003Cbr>(0 . 5 × 2) × 5\u003Cbr>(0 . 5 + 2) × 4 |  |  |  |  |  |  | 6.\u003Cbr>7.\u003Cbr>8. |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | B |  |  |\n| 5) | Which expression is equal to A. ( 7⁄ 10 + 10) × 5 | 7\u003Cbr>⁄ 10 × 5 × 10?\u003Cbr>B. | 7⁄ 10 × (5 + 10) |  |  |  |  |  |  | 9. |  | D |  |  |","cbCait0WnJsgUin2","https://ap.wps.com/l/cbCait0WnJsgUin2","pdf",47206,"English","# Practice Questions\n## Choose Equivalent Expressions\n# Answer Key","[{\"question\":\"What skill do these questions test?\",\"answer\":\"They test recognizing equivalent expressions when decimals and fractions are rewritten using operations like regrouping and the distributive property.\"},{\"question\":\"How are the problems presented?\",\"answer\":\"Each numbered item gives a target expression and multiple answer choices labeled with options (e.g., A, B, C, D).\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the correct option for each numbered question so learners can check their selections.\"}]","Choosing an Equivalent Expression (Decimals and Fractions) - Answer Key | PDF",1790795607]