{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2018-06-25T23:01:36+00:00","modifiedTime":"2018-06-25T23:01:36+00:00","timestamp":"2022-09-14T18:16:34+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 Practice Questions: Comparing Fractions Using Cross-Multiplication","strippedTitle":"pre-algebra practice questions: 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":" <b>Mark Zegarelli</b> is a professional writer with degrees in both English and Math from Rutgers University. He has earned his living for many years writing vast quantities of logic puzzles, a hefty chunk of software documentation, and the occasional book or film review. Along the way, he’s also paid a few bills doing housecleaning, decorative painting, and (for ten hours) retail sales. He likes writing best, though.","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":"Pre-Algebra Practice Questions: Solving Simple Algebraic 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Pre-Algebra Practice Questions: Comparing Fractions Using Cross-Multiplication

By: Mark Zegarelli and

Updated: 06-25-2018

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.