{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-07-13T18:40:20+00:00","modifiedTime":"2017-07-13T18:40:20+00:00","timestamp":"2022-09-14T18:19:21+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":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"Armed Services","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33776"},"slug":"armed-services","categoryId":33776}],"title":"ASVAB Mathematics Knowledge Practice: Ratios","strippedTitle":"asvab mathematics knowledge practice: ratios","slug":"asvab-mathematics-knowledge-practice-ratios","canonicalUrl":"","seo":{"metaDescription":"A ratio is a statement that shows how two numbers compare. When you encounter a ratio question on the Mathematics Knowledge subtest on the ASVAB, you may not re","noIndex":0,"noFollow":0},"content":"A <em>ratio</em> is a statement that shows how two numbers compare. When you encounter a ratio question on the Mathematics Knowledge subtest on the ASVAB, you may not recognize it at first. That's because you can express a ratio in one of three ways:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0401.gif\"><img class=\"alignnone size-full wp-image-242021\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0401.gif\" alt=\"ASVAB_0401\" width=\"52\" height=\"105\" /></a>\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Express the ratio of women to men as a fraction and simplify: There are 15 women and 20 men in the group.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0402.gif\"><img class=\"alignnone size-full wp-image-242022\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0402.gif\" alt=\"ASVAB_0402\" width=\"56\" height=\"217\" /></a></li>\r\n\t<li>The ratio of 1.5 to 32 equals the ratio of 1/5 to <em>x</em>. Solve for <em>x</em>.\r\n\r\n<strong>A.</strong> 0.4\r\n<strong>B.</strong> 0.45\r\n<strong>C.</strong> 0.39\r\n<strong>D.</strong> 0.43</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (B).</strong>\r\n\r\nTo express the ratio as a fraction, you'd write:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0403.gif\"><img class=\"alignnone size-full wp-image-242023\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0403.gif\" alt=\"ASVAB_0403\" width=\"25\" height=\"45\" /></a>\r\n\r\nUsing what you know of fractions, simplify\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0404.gif\"><img class=\"alignnone size-full wp-image-242024\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0404.gif\" alt=\"ASVAB_0404\" width=\"63\" height=\"45\" /></a>\r\n\r\nAlthough Choices (A), (C), and (D) express the same ratio in different numbers, they're incorrect because the question asks you to simplify the fraction. Many of the questions on the ASVAB require you to pay attention to detail, so make sure you read before you answer!</li>\r\n\t<li>The correct answer is <strong>Choice (D).</strong>\r\n\r\nIt's easiest to solve problems when you're working with like terms. Convert 1/5 into 0.2 so you're not working with fractions.\r\n\r\nWrite an equation to find <em>x</em>:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0405.gif\"><img class=\"alignnone size-full wp-image-242025\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0405.gif\" alt=\"ASVAB_0405\" width=\"68\" height=\"45\" /></a>\r\n\r\nCross-multiply:\r\n\r\n1.5<em>x</em> = 0.64\r\n\r\nDivide both sides of the equation to isolate <em>x</em>:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0406.gif\"><img class=\"alignnone size-full wp-image-242026\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0406.gif\" alt=\"ASVAB_0406\" width=\"85\" height=\"77\" /></a></li>\r\n</ol>","description":"A <em>ratio</em> is a statement that shows how two numbers compare. When you encounter a ratio question on the Mathematics Knowledge subtest on the ASVAB, you may not recognize it at first. That's because you can express a ratio in one of three ways:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0401.gif\"><img class=\"alignnone size-full wp-image-242021\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0401.gif\" alt=\"ASVAB_0401\" width=\"52\" height=\"105\" /></a>\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Express the ratio of women to men as a fraction and simplify: There are 15 women and 20 men in the group.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0402.gif\"><img class=\"alignnone size-full wp-image-242022\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0402.gif\" alt=\"ASVAB_0402\" width=\"56\" height=\"217\" /></a></li>\r\n\t<li>The ratio of 1.5 to 32 equals the ratio of 1/5 to <em>x</em>. Solve for <em>x</em>.\r\n\r\n<strong>A.</strong> 0.4\r\n<strong>B.</strong> 0.45\r\n<strong>C.</strong> 0.39\r\n<strong>D.</strong> 0.43</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (B).</strong>\r\n\r\nTo express the ratio as a fraction, you'd write:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0403.gif\"><img class=\"alignnone size-full wp-image-242023\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0403.gif\" alt=\"ASVAB_0403\" width=\"25\" height=\"45\" /></a>\r\n\r\nUsing what you know of fractions, simplify\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0404.gif\"><img class=\"alignnone size-full wp-image-242024\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0404.gif\" alt=\"ASVAB_0404\" width=\"63\" height=\"45\" /></a>\r\n\r\nAlthough Choices (A), (C), and (D) express the same ratio in different numbers, they're incorrect because the question asks you to simplify the fraction. Many of the questions on the ASVAB require you to pay attention to detail, so make sure you read before you answer!</li>\r\n\t<li>The correct answer is <strong>Choice (D).</strong>\r\n\r\nIt's easiest to solve problems when you're working with like terms. Convert 1/5 into 0.2 so you're not working with fractions.\r\n\r\nWrite an equation to find <em>x</em>:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0405.gif\"><img class=\"alignnone size-full wp-image-242025\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0405.gif\" alt=\"ASVAB_0405\" width=\"68\" height=\"45\" /></a>\r\n\r\nCross-multiply:\r\n\r\n1.5<em>x</em> = 0.64\r\n\r\nDivide both sides of the equation to isolate <em>x</em>:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0406.gif\"><img class=\"alignnone size-full wp-image-242026\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0406.gif\" alt=\"ASVAB_0406\" width=\"85\" height=\"77\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33776,"title":"Armed Services","slug":"armed-services","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33776"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"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":242322,"title":"ASVAB Arithmetic Reasoning Practice: Angles","slug":"asvab-arithmetic-reasoning-practice-angles","categoryList":["academics-the-arts","study-skills-test-prep","armed-services"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/242322"}},{"articleId":242317,"title":"ASVAB Arithmetic Reasoning Practice: Two-Dimensional Geometry 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ASVAB Mathematics Knowledge Practice: Ratios

By: The Experts at Dummies and

Updated: 07-13-2017

From The Book: ASVAB AFQT

ASVAB AFQT

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A ratio is a statement that shows how two numbers compare. When you encounter a ratio question on the Mathematics Knowledge subtest on the ASVAB, you may not recognize it at first. That's because you can express a ratio in one of three ways:

Practice questions

Express the ratio of women to men as a fraction and simplify: There are 15 women and 20 men in the group.
The ratio of 1.5 to 32 equals the ratio of 1/5 to x. Solve for x.
A. 0.4 B. 0.45 C. 0.39 D. 0.43

Answers and explanations

The correct answer is Choice (B).
To express the ratio as a fraction, you'd write:
Using what you know of fractions, simplify
Although Choices (A), (C), and (D) express the same ratio in different numbers, they're incorrect because the question asks you to simplify the fraction. Many of the questions on the ASVAB require you to pay attention to detail, so make sure you read before you answer!
The correct answer is Choice (D).
It's easiest to solve problems when you're working with like terms. Convert 1/5 into 0.2 so you're not working with fractions.
Write an equation to find x:
Cross-multiply:
1.5x = 0.64
Divide both sides of the equation to isolate x:

About This Article

This article is from the book:

ASVAB AFQT ,

About the book author:

Angie Papple Johnston joined the U.S. Army in 2006 as a Chemical, Biological, Radiological, and Nuclear specialist, ready to tackle chemical weapons in a Level- A HAZMAT suit. She's currently the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C.

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