{"id":6267,"date":"2013-08-08T21:30:34","date_gmt":"2013-08-08T21:30:34","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=6267"},"modified":"2014-12-02T08:26:58","modified_gmt":"2014-12-02T08:26:58","slug":"math-review-equality-and-inequality-of-fractions","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/math-review-equality-and-inequality-of-fractions\/","title":{"rendered":"Math Review: Equality and Inequality of Fractions"},"content":{"rendered":"

Overview:\u00a0What Are Fractions?<\/strong>
\nFractions consist of a numerator, a, and a denominator, b, so that the fraction takes the form a\/b.\u00a0 The denominator is the number of equal parts in a whole, and the numerator is the number of parts considered.\u00a0 For example, if a pizza is divided into 8 equal pieces, and 3 pieces are taken, the fraction to describe the relationship is 3\/8.\u00a0 There is a close relationship between fractions and division, so that for any numbers a and b, and b is not equal to zero, a\/b means that a is divided by b.<\/p>\n

What Are Mixed Numbers and Improper Fractions?<\/strong>
\nIn many fractions, the numerator is smaller than the denominator, so the fraction is less than 1.\u00a0 For example, 1\/8 is less than 1.\u00a0 Using the division model, where a is divided by b to describe a fraction, the numerator can be larger than the denominator, such as 8\/5.\u00a0 The number 8\/5 can be represented 2 different ways, either as a mixed number 1 3\/5, or an improper fraction 8\/5.\u00a0 Think, 5\/5 is equal to 1, and there are 3\/5 left over.\u00a0 Even though the mixed number and the improper fraction mean the same thing, they are used in different circumstances.<\/p>\n

What Are Common Denominators?<\/strong>
\nIn order to compare fractions with each other, both must have the same denominator.\u00a0 In order to do that, \u00a0find the least common multiple of both denominators.\u00a0 What is the common denominator for 1\/6 and 1\/4?\u00a0 The least common multiple is 12,\u00a0 so 1\/6 x 2\/2 would equal 2\/12, and 1\/4 x 3\/3 would equal 3\/12.<\/p>\n

What Are Equal Fractions?<\/strong>
\nFractions are equal when one fraction can be obtained from the other.\u00a0 The fractions 1\/6 and 2\/12 are equal because 2\/12 means 1 X 2\/6 X 2.\u00a0 Similarly, the fractions 1\/4 and 3\/12 are equal because \u00a03\/12 means 1 X 3\/4 X 3.\u00a0 This can also be shown graphically with fraction bars, as 1\/2 can be represented by 2\/4, 4\/8, 8\/16 and so on.\u00a0 There are an infinite number of equal pairs of fractions.<\/p>\n

What Are Unequal Fractions?<\/strong>
\nAlthough 1\/6 and 1\/4 can be transformed into equivalent fractions with the same common denominator, so that 1\/6 is equal to 2\/12 and 1\/4 is equal to 3\/12, 1\/6 is not equal to 1\/4.\u00a0 That can be shown clearly because 2\/12 and 3\/12 are not equal.\u00a0 The properties of equal fractions and unequal fractions together also illustrate the density of the number line, because there are an infinite number of fractions on the number line.<\/p>\n

Interested in math tutoring services<\/a>? Learn more about how we are assisting thousands of students each academic year.<\/p>\n

SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Youngstown, OH visit: Tutoring in Youngstown, OH<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Overview:\u00a0What Are Fractions? Fractions consist of a numerator, a, and a denominator, b, so that the fraction takes the form a\/b.\u00a0 The denominator is the number of equal parts in a whole, and the numerator is the number of parts considered.\u00a0 For example, if a pizza is divided into 8 equal pieces, and 3 pieces […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[9,11],"tags":[318,585,694,1904],"class_list":["post-6267","post","type-post","status-publish","format-standard","hentry","category-fractions-2","category-math-fundamentals","tag-common-denominators","tag-equal-fractions","tag-fractions","tag-unequal-fractions"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=6267"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6267\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=6267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=6267"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=6267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}