{"id":155660,"date":"2022-03-26T00:53:35","date_gmt":"2022-03-25T19:23:35","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/rational-numbers-between-two-rational-numbers\/"},"modified":"2022-12-22T21:52:25","modified_gmt":"2022-12-22T16:22:25","slug":"rational-numbers-between-two-rational-numbers","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/","title":{"rendered":"Rational Numbers Between Two Rational Numbers"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#Rational_Numbers\" title=\"Rational Numbers:\">Rational Numbers:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#Terminology_of_Rational_Numbers\" title=\"Terminology of Rational Numbers\">Terminology of Rational Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#The_Topological_Properties_of_Real_Numbers\" title=\"The Topological Properties of Real Numbers\">The Topological Properties of Real Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#Rational_Numbers_Between_Two_Rational_Numbers\" title=\"Rational Numbers Between Two Rational Numbers\">Rational Numbers Between Two Rational Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#How_to_Find_Rational_Numbers_Between_two_Rational_Numbers_With_the_Same_Denominator_Value\" title=\"How to Find Rational Numbers Between two Rational Numbers With the Same Denominator Value?\">How to Find Rational Numbers Between two Rational Numbers With the Same Denominator Value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#How_to_find_Rational_Numbers_Between_two_Rational_Numbers_with_Different_Values_of_Denominators\" title=\"How to find Rational Numbers Between two Rational Numbers with Different Values of Denominators?\">How to find Rational Numbers Between two Rational Numbers with Different Values of Denominators?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#Example\" title=\"Example\">Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers-between-two-numbers\/#Rational_Numbers_Between_two_Rational_Numbers_Example\" title=\"Rational Numbers Between two Rational Numbers Example:\">Rational Numbers Between two Rational Numbers Example:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers\"><\/span>Rational Numbers:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A rational number is a number that can be expressed as a quotient of two integers, a numerator and a denominator. For example, the rational number 3\/4 can be written as the quotient 3 \u00f7 4. The number 3 is the numerator and 4 is the denominator.<\/p>\n<p>Rational numbers can be positive, negative, or zero. They can also be fractions (such as 3\/4) or decimals (such as 0.75). The set of all rational numbers is denoted by the symbol Q.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155659 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/rational-numbers-between-two-rational-numbers.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/rational-numbers-between-two-rational-numbers.jpg?v=1648236210 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/rational-numbers-between-two-rational-numbers-300x212.jpg?v=1648236210 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Terminology_of_Rational_Numbers\"><\/span>Terminology of Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Rational number is a number that can be expressed as a ratio of two integers, a numerator and a denominator. For example, 3\/5, 1\/2 and -7\/8 are all <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/\" target=\"_blank\" rel=\"noopener\">rational numbers<\/a>.<\/p>\n<p>The denominator in a rational number cannot be zero, and the numerator and denominator must be coprime (that is, they have no factors in common). If a rational number is not expressed as a fraction (that is, if the numerator and denominator are both 1), then it is called an integer.<\/p>\n<p>A terminating decimal is a rational number that can be expressed as a fraction where the denominator is a power of 10. For example, 0.25, 0.5 and 0.75 are all terminating decimals.<\/p>\n<p>A non-terminating decimal is a rational number that cannot be expressed as a fraction where the denominator is a power of 10. For example, 0.2345, 0.876543 and 2.71828 are all non-terminating decimals.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Topological_Properties_of_Real_Numbers\"><\/span>The Topological Properties of Real Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The topological properties of real numbers are as follows:<\/p>\n<p>1. The real numbers are a linearly ordered set.<\/p>\n<p>2. The real numbers are a complete ordered set.<\/p>\n<p>3. The real numbers are a totally ordered set.<\/p>\n<p>4. The real numbers are a connected ordered set.<\/p>\n<p>5. The real numbers are a metric space.<\/p>\n<p>6. The real numbers are a topological space.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers_Between_Two_Rational_Numbers\"><\/span>Rational Numbers Between Two Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There is no definitive answer to this question since it depends on the two rational numbers involved. In general, however, a rational number between two other rational numbers can be found by using a mathematical process known as interpolation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_Rational_Numbers_Between_two_Rational_Numbers_With_the_Same_Denominator_Value\"><\/span>How to Find Rational Numbers Between two Rational Numbers With the Same Denominator Value?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find rational numbers between two rational numbers with the same denominator value, subtract the smaller number from the larger number. This will give you a list of rational numbers between the two numbers that have the same denominator value.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_Rational_Numbers_Between_two_Rational_Numbers_with_Different_Values_of_Denominators\"><\/span>How to find Rational Numbers Between two Rational Numbers with Different Values of Denominators?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find rational numbers between two rational numbers with different values of denominators, find the least common denominator (LCD) of the two denominators, and then divide both fractions by the LCD.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Example\"><\/span>Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following code creates an instance of the DateTime class, sets the value to June 1, 2013, and prints the result.<\/p>\n<p>DateTime myDate = new DateTime(2013, 6, 1); Console.WriteLine(myDate);<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers_Between_two_Rational_Numbers_Example\"><\/span>Rational Numbers Between two Rational Numbers Example:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Find the rational numbers between 2\/3 and 4\/5.<\/p>\n<p>The rational numbers between 2\/3 and 4\/5 are 1\/3, 2\/3, 4\/5, and 5\/6.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rational Numbers: A rational number is a number that can be expressed as a quotient of two integers, a numerator [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Rational Numbers Between Two Rational Numbers","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn Rational Numbers Between Two Rational Numbers topic of Maths in details explained by subject experts on infinitylearn.com. 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