{"id":271882,"date":"2025-07-26T08:04:30","date_gmt":"2025-07-26T08:04:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271882"},"modified":"2025-07-26T08:04:31","modified_gmt":"2025-07-26T08:04:31","slug":"simplify-5-2512-5-1-25-4%c2%b7-1-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/simplify-5-2512-5-1-25-4%c2%b7-1-8\/","title":{"rendered":"Simplify 5.25+12.5\/ 1.25-4\u00b7 1\/8\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-757.png\" alt=\"\" class=\"wp-image-271883\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is&nbsp;<strong>A. 14.75<\/strong>.<\/p>\n\n\n\n<p>Here is a detailed explanation of how to arrive at this solution.<\/p>\n\n\n\n<p>The problem as written is &#8220;Simplify 5.25 \u00f7 12.5 : 1.25 &#8211; 4 * 1\/8&#8221;. A literal interpretation, where both the &#8216;\u00f7&#8217; and &#8216;:&#8217; symbols represent division, does not lead to any of the multiple choice answers. When calculated strictly as written, the result is a negative number. This suggests there is a typographical error in the problem statement, which is common in test questions. The most likely error is that the first division symbol (\u00f7) was intended to be an addition symbol (+).<\/p>\n\n\n\n<p>Let&#8217;s solve the problem with this correction. The intended expression is likely:<br><strong>5.25 + 12.5 \u00f7 1.25 &#8211; 4 * (1\/8)<\/strong><\/p>\n\n\n\n<p>To solve this, we must follow the order of operations, often remembered by the acronym PEMDAS or BODMAS. This means we perform operations in the following sequence: Parentheses\/Brackets, Exponents\/Orders, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Multiplication and Division:<\/strong><br>First, we handle the division and multiplication parts of the expression.\n<ul class=\"wp-block-list\">\n<li>Calculate\u00a012.5 \u00f7 1.25. Dividing by 1.25 is the same as multiplying by its reciprocal. Alternatively, you can multiply both numbers by 100 to remove the decimals, making the calculation\u00a01250 \u00f7 125, which equals 10.<\/li>\n\n\n\n<li>Next, calculate\u00a04 * (1\/8). This becomes\u00a04\/8, which simplifies to\u00a01\/2\u00a0or\u00a00.5.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Substitute and Rewrite:<\/strong><br>Now we replace these parts of the expression with their results:<br><strong>5.25 + 10 &#8211; 0.5<\/strong><\/li>\n\n\n\n<li><strong>Addition and Subtraction:<\/strong><br>Finally, we perform the addition and subtraction from left to right.\n<ul class=\"wp-block-list\">\n<li>First, add\u00a05.25 + 10, which gives\u00a015.25.<\/li>\n\n\n\n<li>Then, subtract\u00a00.5\u00a0from this result:\u00a015.25 &#8211; 0.5, which equals\u00a014.75.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>This final result, 14.75, matches option A.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2103.jpeg\" alt=\"\" class=\"wp-image-271884\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;A. 14.75. Here is a detailed explanation of how to arrive at this solution. The problem as written is &#8220;Simplify 5.25 \u00f7 12.5 : 1.25 &#8211; 4 * 1\/8&#8221;. A literal interpretation, where both the &#8216;\u00f7&#8217; and &#8216;:&#8217; symbols represent division, does not lead to any [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-271882","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271882","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=271882"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271882\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271882"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271882"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271882"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}