{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-04-30T19:14:55+00:00","modifiedTime":"2017-04-30T19:14:55+00:00","timestamp":"2022-09-14T18:18:38+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":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"Practice Math Questions for Praxis: Converting Fractions","strippedTitle":"practice math questions for praxis: converting fractions","slug":"practice-math-questions-praxis-converting-fractions","canonicalUrl":"","seo":{"metaDescription":"Sometimes it's okay to be improper. Case in point: the Praxis Core exam, where you may be asked to convert fractions between their mixed, simple, and improper f","noIndex":0,"noFollow":0},"content":"Sometimes it's okay to be improper. Case in point: the Praxis Core exam, where you may be asked to convert fractions between their mixed, simple, and improper forms.\r\n\r\nIn the following practice questions, you start with a simplified form of a fraction and have to find the original, and then you start with a mixed fraction and have to find the equivalent improper fraction.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>The fraction 4/7 is the simplified form of which of the following fractions?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0301.gif\"><img class=\"alignnone wp-image-238892 size-full\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0301.gif\" alt=\"PRAXIS_0301\" width=\"48\" height=\"275\" /></a></li>\r\n\t<li>Which of the following fractions is equal to\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0302.gif\"><img class=\"alignnone wp-image-238893 size-full\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0302.gif\" alt=\"PRAXIS_0302\" width=\"48\" height=\"344\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(C).\r\n</strong>\r\nYou could simplify every choice until you find that one of them is equal to 4/7. However, there's a quicker and easier method. Because this is a multiple-choice question, you can look for a fraction in which the numerator is a multiple of 4 and the denominator is a multiple of 7. When the numerator and denominator of 4/7 can be multiplied by the same number to get a fraction that is one of the choices, that choice is the correct answer. Because 4 can be multiplied by 7 to get 28 and 7 can be multiplied by 7 to get 49, the correct answer is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0303.gif\"><img class=\"alignnone size-full wp-image-238894\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0303.gif\" alt=\"PRAXIS_0303\" width=\"75\" height=\"61\" /></a></li>\r\n\t<li>The correct answer is Choice <strong>(C).\r\n\r\n</strong>To convert a mixed number to an improper fraction, multiply the denominator of the fraction by the whole number and then add the numerator to the result. Put the number you get over the denominator:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0304.gif\"><img class=\"alignnone size-full wp-image-238895\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0304.gif\" alt=\"PRAXIS_0304\" width=\"100\" height=\"167\" /></a></li>\r\n</ol>","description":"Sometimes it's okay to be improper. Case in point: the Praxis Core exam, where you may be asked to convert fractions between their mixed, simple, and improper forms.\r\n\r\nIn the following practice questions, you start with a simplified form of a fraction and have to find the original, and then you start with a mixed fraction and have to find the equivalent improper fraction.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>The fraction 4/7 is the simplified form of which of the following fractions?\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0301.gif\"><img class=\"alignnone wp-image-238892 size-full\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0301.gif\" alt=\"PRAXIS_0301\" width=\"48\" height=\"275\" /></a></li>\r\n\t<li>Which of the following fractions is equal to\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0302.gif\"><img class=\"alignnone wp-image-238893 size-full\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0302.gif\" alt=\"PRAXIS_0302\" width=\"48\" height=\"344\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(C).\r\n</strong>\r\nYou could simplify every choice until you find that one of them is equal to 4/7. However, there's a quicker and easier method. Because this is a multiple-choice question, you can look for a fraction in which the numerator is a multiple of 4 and the denominator is a multiple of 7. When the numerator and denominator of 4/7 can be multiplied by the same number to get a fraction that is one of the choices, that choice is the correct answer. Because 4 can be multiplied by 7 to get 28 and 7 can be multiplied by 7 to get 49, the correct answer is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0303.gif\"><img class=\"alignnone size-full wp-image-238894\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0303.gif\" alt=\"PRAXIS_0303\" width=\"75\" height=\"61\" /></a></li>\r\n\t<li>The correct answer is Choice <strong>(C).\r\n\r\n</strong>To convert a mixed number to an improper fraction, multiply the denominator of the fraction by the whole number and then add the numerator to the result. Put the number you get over the denominator:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0304.gif\"><img class=\"alignnone size-full wp-image-238895\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_0304.gif\" alt=\"PRAXIS_0304\" width=\"100\" height=\"167\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":9383,"name":"Carla Kirkland","slug":"carla-kirkland","description":"","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9383"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. Kirkland</b> is CEO of The Kirkland Group, a consulting firm providing professional development, technical assistance, and standardized test preparation to schools. <b>Chan Cleveland,</b> Executive Vice President of The Kirkland Group, has created and revised language arts standards for many school districts. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9384"}}],"primaryCategoryTaxonomy":{"categoryId":33807,"title":"Praxis","slug":"praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":175788,"title":"Trig Identities for Pre-Calculus","slug":"trig-identities-for-pre-calculus","categoryList":["academics-the-arts","math","pre-calculus"],"_links":{"self":"/articles/175788"}},{"articleId":147241,"title":"How to Use the Z-Table","slug":"how-to-use-the-z-table","categoryList":["academics-the-arts","math","statistics"],"_links":{"self":"/articles/147241"}},{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive 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Practice Math Questions for Praxis: Converting Fractions

By: Carla Kirkland and Chan Cleveland and

Updated: 04-30-2017

From The Book: Praxis Core: 1,001 Practice Questions For Dummies

Praxis Core: 1,001 Practice Questions For Dummies

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Sometimes it's okay to be improper. Case in point: the Praxis Core exam, where you may be asked to convert fractions between their mixed, simple, and improper forms.

In the following practice questions, you start with a simplified form of a fraction and have to find the original, and then you start with a mixed fraction and have to find the equivalent improper fraction.

Practice questions

The fraction 4/7 is the simplified form of which of the following fractions?
Which of the following fractions is equal to

Answers and explanations

The correct answer is Choice (C). You could simplify every choice until you find that one of them is equal to 4/7. However, there's a quicker and easier method. Because this is a multiple-choice question, you can look for a fraction in which the numerator is a multiple of 4 and the denominator is a multiple of 7. When the numerator and denominator of 4/7 can be multiplied by the same number to get a fraction that is one of the choices, that choice is the correct answer. Because 4 can be multiplied by 7 to get 28 and 7 can be multiplied by 7 to get 49, the correct answer is
The correct answer is Choice (C).
To convert a mixed number to an improper fraction, multiply the denominator of the fraction by the whole number and then add the numerator to the result. Put the number you get over the denominator:

About This Article

This article is from the book:

Praxis Core: 1,001 Practice Questions For Dummies ,

About the book authors:

Carla Kirkland, founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.

Chan Cleveland, executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.

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