{"id":44412,"date":"2025-06-30T15:35:55","date_gmt":"2025-06-30T15:35:55","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=44412"},"modified":"2025-06-30T15:35:56","modified_gmt":"2025-06-30T15:35:56","slug":"which-is-greater-1-3-4-or-1-1-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-is-greater-1-3-4-or-1-1-4\/","title":{"rendered":"which is greater -1 3\/4 or -1 1\/4"},"content":{"rendered":"\n<p>which is greater -1 3\/4 or -1 1\/4<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine which number is greater between -1 3\/4 and -1 1\/4, we need to compare these two mixed numbers. A mixed number consists of a whole number and a fraction, and to compare them, we will first convert both mixed numbers to improper fractions, then compare their values.<\/p>\n\n\n\n<p><strong>Step 1: Convert -1 3\/4 to an improper fraction.<\/strong><\/p>\n\n\n\n<p>A mixed number like -1 3\/4 can be rewritten as:<\/p>\n\n\n\n<p>-1 3\/4 = &#8211; (1 + 3\/4) = &#8211; (4\/4 + 3\/4) = -7\/4.<\/p>\n\n\n\n<p>So, -1 3\/4 becomes -7\/4 when written as an improper fraction.<\/p>\n\n\n\n<p><strong>Step 2: Convert -1 1\/4 to an improper fraction.<\/strong><\/p>\n\n\n\n<p>Similarly, -1 1\/4 can be rewritten as:<\/p>\n\n\n\n<p>-1 1\/4 = &#8211; (1 + 1\/4) = &#8211; (4\/4 + 1\/4) = -5\/4.<\/p>\n\n\n\n<p>Thus, -1 1\/4 becomes -5\/4 when written as an improper fraction.<\/p>\n\n\n\n<p><strong>Step 3: Compare the improper fractions.<\/strong><\/p>\n\n\n\n<p>Now we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>-1 3\/4 = -7\/4<\/li>\n\n\n\n<li>-1 1\/4 = -5\/4<\/li>\n<\/ul>\n\n\n\n<p>When comparing negative fractions, the fraction with the smaller absolute value is greater. This is because the negative fractions are less &#8220;negative.&#8221; For example, -7\/4 is farther away from zero than -5\/4, meaning -7\/4 is less than -5\/4.<\/p>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>Since -5\/4 is closer to zero than -7\/4, <strong>-1 1\/4 is greater than -1 3\/4<\/strong>.<\/p>\n\n\n\n<p>In summary, when comparing negative numbers, the one that is less negative (closer to zero) is the larger number. Hence, -1 1\/4 is greater than -1 3\/4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1502.jpeg\" alt=\"\" class=\"wp-image-44415\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1502.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1502-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1502-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>which is greater -1 3\/4 or -1 1\/4 The Correct Answer and Explanation is: To determine which number is greater between -1 3\/4 and -1 1\/4, we need to compare these two mixed numbers. A mixed number consists of a whole number and a fraction, and to compare them, we will first convert both mixed [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-44412","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=44412"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44412\/revisions"}],"predecessor-version":[{"id":44416,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44412\/revisions\/44416"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44412"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44412"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}