[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522472-105":59,"doc-detail-522472-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","dividing-rational-expressions-simplify-each-expression","Dividing Rational Expressions - Simplify each expression","","Worksheets for Algebra 1 in the topic of dividing rational expressions. The document instructs the student to simplify each given expression and provides a sequence of numbered problems covering variable-based fraction division, including expressions with monomials, polynomials, and factors involving x, n, a, b, and p. It also includes examples where expressions contain products or binomials that require factoring and cancellation to reach simplified forms.",{"@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/dividing-rational-expressions-simplify-each-expression/522472/",{"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/dividing-rational-expressions-simplify-each-expression/522472.png","ImageObject",300,407,{"name":92,"@type":93},"Emma Wilson","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the instruction for the worksheet problems?","Question",{"text":112,"@type":113},"Simplify each given rational expression.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many problems are listed on the worksheet?",{"text":117,"@type":113},"The worksheet lists problems numbered 1 through 22.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of expressions appear in the division problems?",{"text":121,"@type":113},"The problems involve dividing rational expressions with variables such as x, n, a, b, and p, often requiring simplification through factoring and cancellation.","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},522472,1791490980,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},3848291630094,"https://eur-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Algebra 1 Name___________________________________  \nDividing Rational Expressions Date________________ Period____  \nSimplify each expression.  \n1) 109n ÷ ~~ ~~13n162~~ ~~ 2) 16n17 ÷ ~~ ~~8n6  \n3) 2 ÷  18  4) 12 ÷  4   \n7 8x2 7 11r  \n 7   6   5   5x  \n5) ÷ 6) ÷  \n18 9a 20 3  \n 4n   4n   3   3   \n7) ÷ 8) ÷  \nn − 6 8n − 48 28b b + 1  \n7a2 2 6 6  \n9) ~~ ~~ ÷ ~~ ~~ 10) ~~ ~~ ÷ ~~ ~~  \n7a3 + 56a2 a 2 + 7a − 8 28x + 4 35x + 5  \n11) x2x+10x6x~~ ~~~~ ~~168~~ ~~ ÷ ~~ ~~x~~ ~~~~ ~~4~~ ~~ 12) 49x6+x~~ ~~21~~ ~~ ÷ 42x~~ ~~18  \n 7   1   1   8a   \n13) ÷ 14) ÷  \n8r − 40 8r − 40 2a 2a2 + 16a  \n 8   1   a − 4   1   \n15) ÷ 16) ÷  \n4n2 − 16n n − 4 a 2 − 2a − 8 a − 5  \nb 2 − 2b − 15   2   10b2 + 42b + 36   40b + 48   \n17) ÷ 18) ÷  \n8b + 20 4b + 10 6b2 − 2b − 60 3b2 − 13b + 10  \n16x − 56   8x − 28   10x2 − 28x + 16   25x2 − 25x + 4   \n19) ÷ 20) ÷  \n8 4 2x − 4 5x2 − 41x + 8  \n 6 p + 27   16 p + 72   3x2 − 25x − 18   5x − 3   \n21) ÷ 22) ÷  \n18 p2 + 36 p 2 p + 4 27x + 18 5x2 − 33x + 18  \nKuta Software-Infinite Algebra 1 Name   \nDividing Rational Expressions Date  Period   \nSimplify each expression.  \n1)  \n3)  \n5)  \n7)  \n9)  \n 10n  \n9  \n÷  \n13n2  \n16  \n160  \n117n  \n2 ÷  18   \n7 8x2  \n8x2  \n63  \n 7   \n18  \n÷  \n 6   \n9a  \n7a  \n12  \n4n  \nn − 6  \n8  \n÷  \n4n  \n8n − 48  \n7a2 2 ~~ ~~ ÷ ~~  ~~7a3 + 56a2 a 2 + 7a − 8  \na − 1  \n2  \n2) 16n17 ÷ ~~ ~~8n6 12  \n17  \n4) 127 ÷ ~~ ~~141r  \n33r  \n7  \n6) 520 ÷ ~~ ~~5x3 3  \n20x  \n8) 238b ÷ ~~ ~~b~~ ~~~~ ~~1  \nb + 1  \n28b  \n6 6  \n10) ~~ ~~ ÷ ~~ ~~  \n28x + 4 35x + 5  \n5  \n4  \n11)  \n13)  \n15)  \n17)  \n19)  \n21)  \nx 2 + 10x + 16 1 ~~ ~~ ÷ ~~  ~~x 2 + 6x + 8 x + 4  \nx + 8  \n7  \n8r − 40  \n÷  \n1  \n8r − 40  \n7  \n 8  ÷  1   \n4n2 − 16n n − 4 2  \nn  \nb 2 − 2b − 15 2 ~~ ~~ ÷ ~~ ~~  \n8b + 20 4b + 10 (b + 3)(b − 5)  \n4  \n16x − 56 8  \n÷  \n8x − 28 4  \n1  \n6 p + 27 16 p + 72 ~~ ~~ ÷ ~~ ~~  \n18 p2 + 36 p 2 p + 4 1  \n24 p  \n12)  \n14)  \n16)  \n18)  \n20)  \n22)  \n49x + 21 6x  \n÷  \n42x + 18 6  \n 7  6x  \n1 8a ~~ ~~ ÷ ~~ ~~  \n2a 2a2 + 16aa + 8  \n8a  \na − 4 1  \n~~ ~~ ÷ ~~  ~~a 2 − 2a − 8 a − 5  \na − 5  \na + 2  \n10b2 + 42b + 36 40b + 48 ~~ ~~ ÷ ~~  ~~6b2 − 2b − 60 3b2 − 13b + 10  \nb − 1  \n8  \n10x2 − 28x + 16 25x2 − 25x + 4 ~~ ~~ ÷ ~~ ~~  \n2x − 4 5x2 − 41x + 8  \nx − 8  \n3x2 − 25x − 18 5x − 3 ~~ ~~ ÷ ~~ ~~  \n27x + 18 5x2 − 33x + 18  \n(x − 9)(x − 6)   \n9  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaitNg65YJ4R3e","https://ap.wps.com/l/cbCaitNg65YJ4R3e","pdf",34717,"English","# Simplify each expression\n## Problem set (1-22)","[{\"question\":\"What is the instruction for the worksheet problems?\",\"answer\":\"Simplify each given rational expression.\"},{\"question\":\"How many problems are listed on the worksheet?\",\"answer\":\"The worksheet lists problems numbered 1 through 22.\"},{\"question\":\"What types of expressions appear in the division problems?\",\"answer\":\"The problems involve dividing rational expressions with variables such as x, n, a, b, and p, often requiring simplification through factoring and cancellation.\"}]","Dividing Rational Expressions - Simplify each expression | PDF",1791425818]