{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2018-06-25T23:01:36+00:00","modifiedTime":"2023-07-10T18:47:24+00:00","timestamp":"2023-07-10T21:01:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Basic Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"},"slug":"basic-math","categoryId":33722}],"title":"Pre-Algebra: Comparing Fractions Using Cross-Multiplication","strippedTitle":"pre-algebra: comparing fractions using cross-multiplication","slug":"pre-algebra-practice-questions-comparing-fractions-using-cross-multiplication","canonicalUrl":"","seo":{"metaDescription":"Cross-multiplication is a handy tool for finding the common denominator for two fractions, which is important for many operations involving fractions. In the fo","noIndex":0,"noFollow":0},"content":"Cross-multiplication is a handy tool for finding the common denominator for two fractions, which is important for many operations involving fractions. In the following practice questions, you are asked to cross-multiply to compare fractions to find out which is greater or less.\r\n<h2 style=\"padding-left: 30px;\">Practice questions</h2>\r\n<p style=\"padding-left: 30px;\"><strong>1.</strong> Find the lesser fraction:</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253711\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0101.gif\" alt=\"PREALGEBRA_0101\" width=\"65\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\"><strong>2.</strong> Among these three fractions, which is greatest:</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253712\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0102.gif\" alt=\"PREALGEBRA_0102\" width=\"116\" height=\"45\" /></p>\r\n\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<p style=\"padding-left: 30px;\"><strong>1.</strong> Of the two fractions,</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253713\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0103.gif\" alt=\"PREALGEBRA_0103\" width=\"79\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\">Cross-multiply to compare the two fractions:</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253714\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0104-FINAL.gif\" alt=\"PREALGEBRA_0104\" width=\"59\" height=\"71\" /></p>\r\n<p style=\"padding-left: 30px;\">Because 35 is less than 36,</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253715\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0105.gif\" alt=\"PREALGEBRA_0105\" width=\"131\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\"><strong>2.</strong> Of the three fractions,</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253716\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0106.gif\" alt=\"PREALGEBRA_0106\" width=\"217\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\">Use cross-multiplication to compare the first two fractions.</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253717\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0107-FINAL.gif\" alt=\"PREALGEBRA_0107\" width=\"64\" height=\"71\" /></p>\r\n<p style=\"padding-left: 30px;\">Because 21 is greater than 20, this means that 1/10 is greater than 2/21, so you can rule out 2/21. Next, compare 1/10 and 3/29 by cross-multiplying.</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253718\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0108-FINAL.gif\" alt=\"PREALGEBRA_0108\" width=\"67\" height=\"71\" /></p>\r\n<p style=\"padding-left: 30px;\">Because 30 is greater than 29, 3/29 is greater than 1/10. Therefore, 3/29 is the greatest of the three fractions.</p>","description":"Cross-multiplication is a handy tool for finding the common denominator for two fractions, which is important for many operations involving fractions. In the following practice questions, you are asked to cross-multiply to compare fractions to find out which is greater or less.\r\n<h2 style=\"padding-left: 30px;\">Practice questions</h2>\r\n<p style=\"padding-left: 30px;\"><strong>1.</strong> Find the lesser fraction:</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253711\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0101.gif\" alt=\"PREALGEBRA_0101\" width=\"65\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\"><strong>2.</strong> Among these three fractions, which is greatest:</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253712\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0102.gif\" alt=\"PREALGEBRA_0102\" width=\"116\" height=\"45\" /></p>\r\n\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<p style=\"padding-left: 30px;\"><strong>1.</strong> Of the two fractions,</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253713\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0103.gif\" alt=\"PREALGEBRA_0103\" width=\"79\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\">Cross-multiply to compare the two fractions:</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253714\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0104-FINAL.gif\" alt=\"PREALGEBRA_0104\" width=\"59\" height=\"71\" /></p>\r\n<p style=\"padding-left: 30px;\">Because 35 is less than 36,</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253715\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0105.gif\" alt=\"PREALGEBRA_0105\" width=\"131\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\"><strong>2.</strong> Of the three fractions,</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253716\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0106.gif\" alt=\"PREALGEBRA_0106\" width=\"217\" height=\"45\" /></p>\r\n<p style=\"padding-left: 30px;\">Use cross-multiplication to compare the first two fractions.</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253717\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0107-FINAL.gif\" alt=\"PREALGEBRA_0107\" width=\"64\" height=\"71\" /></p>\r\n<p style=\"padding-left: 30px;\">Because 21 is greater than 20, this means that 1/10 is greater than 2/21, so you can rule out 2/21. Next, compare 1/10 and 3/29 by cross-multiplying.</p>\r\n<p style=\"padding-left: 30px;\"><img class=\"alignnone size-full wp-image-253718\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_0108-FINAL.gif\" alt=\"PREALGEBRA_0108\" width=\"67\" height=\"71\" /></p>\r\n<p style=\"padding-left: 30px;\">Because 30 is greater than 29, 3/29 is greater than 1/10. Therefore, 3/29 is the greatest of the three fractions.</p>","blurb":"","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":" <p><b>Mark Zegarelli</b> is a math teacher and tutor with degrees in math and English from Rutgers University. He is the author of a dozen books, including <i>Basic Math & Pre-Algebra For Dummies, SAT Math For Dummies, and Calculus II For Dummies</i>. Through online tutoring, he teaches multiplication and beyond to preschoolers in a way that sets them up for school success while keeping the natural magic of math alive. Contact Mark at markzegarelli.com. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9399"}}],"primaryCategoryTaxonomy":{"categoryId":33722,"title":"Basic Math","slug":"basic-math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"}},"secondaryCategoryTaxonomy":{"categoryId":33726,"title":"Pre-Algebra","slug":"pre-algebra","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33726"}},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":249996,"title":"Solving Simple Equations in Pre-Algebra Problems","slug":"pre-algebra-practice-questions-solving-simple-algebraic-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249996"}},{"articleId":249986,"title":"Pre-Algebra: Isolating x in an Equation","slug":"pre-algebra-practice-questions-isolating-x-equation","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249986"}},{"articleId":249980,"title":"Rearranging Algebraic Equations to Isolate X","slug":"pre-algebra-practice-questions-rearranging-equations-isolate-x","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249980"}},{"articleId":249971,"title":"Pre-Algebra: Cross-Multiply to Solve Equations","slug":"pre-algebra-practice-questions-cross-multiply-solve-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249971"}},{"articleId":249964,"title":"Pre-Algebra Practice Questions: Finding the Volume of Prisms and Cylinders","slug":"pre-algebra-practice-questions-finding-volume-prisms-cylinders","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249964"}}],"fromCategory":[{"articleId":291491,"title":"Teaching Your Kids New Math (K-5) For Dummies Cheat Sheet","slug":"teaching-your-kids-new-math-k-5-for-dummies-cheat-sheet","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/291491"}},{"articleId":249996,"title":"Solving Simple Equations in Pre-Algebra Problems","slug":"pre-algebra-practice-questions-solving-simple-algebraic-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249996"}},{"articleId":249986,"title":"Pre-Algebra: Isolating x in an Equation","slug":"pre-algebra-practice-questions-isolating-x-equation","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249986"}},{"articleId":249980,"title":"Rearranging Algebraic Equations to Isolate X","slug":"pre-algebra-practice-questions-rearranging-equations-isolate-x","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249980"}},{"articleId":249971,"title":"Pre-Algebra: Cross-Multiply to Solve Equations","slug":"pre-algebra-practice-questions-cross-multiply-solve-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249971"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281980,"slug":"basic-math-and-pre-algebra-workbook-for-dummies-with-online-practice-3rd-edition","isbn":"9781119357513","categoryList":["academics-the-arts","math","basic-math"],"amazon":{"default":"https://www.amazon.com/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119357519-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/basic-math-and-pre-algebra-workbook-for-dummies-3rd-edition-cover-9781119357513-204x255.jpg","width":204,"height":255},"title":"Basic Math & Pre-Algebra Workbook For Dummies with Online Practice","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"9399\">Mark Zegarelli</b> is a math and test prep teacher who has written a wide variety of basic math and pre-algebra books in the <i>For Dummies</i> series. </p>","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":" <p><b>Mark Zegarelli</b> is a math teacher and tutor with degrees in math and English from Rutgers University. 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Pre-Algebra: Comparing Fractions Using Cross-Multiplication

By: Mark Zegarelli and

Updated: 07-10-2023

From The Book: Basic Math & Pre-Algebra Workbook For Dummies with Online Practice

Basic Math & Pre-Algebra Workbook For Dummies with Online Practice

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Cross-multiplication is a handy tool for finding the common denominator for two fractions, which is important for many operations involving fractions. In the following practice questions, you are asked to cross-multiply to compare fractions to find out which is greater or less.