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Covers how terminating or repeating decimals are rational, and how to compare two numbers by rewriting them in the same form. Includes short SHSAT-style word problems and an answer key, with step-by-step explanation guidance for choosing the right process and simplifying one move at a time.",{"@graph":69,"@context":123},[70,84,106],{"@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/fractions-decimals-and-rational-numbers-shsat-math-quick-review-and-helpful-hints/274487/",{"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/fractions-decimals-and-rational-numbers-shsat-math-quick-review-and-helpful-hints/274487.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What makes a decimal a rational number?","Question",{"text":113,"@type":114},"A decimal that terminates or repeats is a rational number.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you convert a fraction into a decimal?",{"text":118,"@type":114},"Divide the numerator (the top) by the denominator (the bottom).",{"name":120,"@type":111,"acceptedAnswer":121},"How should you compare a fraction and a decimal?",{"text":122,"@type":114},"Write both numbers in the same form, then compare.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},274487,1789477978,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":39},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Practice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nFractions, Decimals, and Rational Numbers  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nA rational number can be written as a fraction ab of integers. Turn a fraction into a decimal by dividing the top by the bottom. A decimal that terminates or repeats is rational. To compare, write both numbers in the same form.  \n▷ Example: Write 34 as a decimal. Work: Divide the top by the bot- tom: 3 􀀄 4 = 0.75 . ⋆ Answer: 0.75 ~~ ~~12 = 0 .5 = 50% .  \n♦ Word Problems  \n15. A pizza is cut and you eat 34 of it. Write that as a decimal.  \n16. A gas tank is 􀀂lled to 0.5 of its capacity after a commute. What fraction of the tank is full, in simplest form?  \n17. Which is larger, 12 or 0.4?  \n18. Convert 25 to a decimal.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \nAnswer Keys  \n [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1. 0.5 2. 0.75  \n3. 0.25  \n4.  \n5.  \n6.  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 1 􀀄 2 = 0 .5. So the 􀀂nal answer is 0.5.  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 3 􀀄 4 = 0 .75. So the 􀀂nal answer is 0.75.  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is  \n1 􀀄 4 = 0 .25. So the 􀀂nal answer is 0.25.  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 2 􀀄 5 = 0 .4. So the 􀀂nal answer is 0.4.  \n5. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 1 􀀄 5 = 0 .2. So the 􀀂nal answer is 0.2.  \n6. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 0.5 = 150 = 12 . So the 􀀂nal answer is 12 .  \n7. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is  \n0.25 = 12050 = 14 . So the 􀀂nal answer is 14 .  \n8. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 1 􀀄 10 = 0 .1. So the 􀀂nal answer is 0.1.  \n9. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then ","cbCairPnlZMkX15P","https://ap.wps.com/l/cbCairPnlZMkX15P","pdf",268718,"English","# Quick Review and Helpful Hints\n## Word Problems\n## Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"What makes a decimal a rational number?\",\"answer\":\"A decimal that terminates or repeats is a rational number.\"},{\"question\":\"How do you convert a fraction into a decimal?\",\"answer\":\"Divide the numerator (the top) by the denominator (the bottom).\"},{\"question\":\"How should you compare a fraction and a decimal?\",\"answer\":\"Write both numbers in the same form, then compare.\"}]","Fractions, Decimals, and Rational Numbers - SHSAT Math - Quick Review and Helpful Hints | PDF"]