{"id":22845,"date":"2025-06-16T22:27:14","date_gmt":"2025-06-16T22:27:14","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=22845"},"modified":"2025-06-16T22:27:19","modified_gmt":"2025-06-16T22:27:19","slug":"write-75-as-a-decimal-and-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-75-as-a-decimal-and-fraction-in-simplest-form\/","title":{"rendered":"write 75% as a decimal and fraction in simplest form"},"content":{"rendered":"\n<p>write 75% as a decimal and fraction in simplest form<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimal:<\/strong> 0.75<\/li>\n\n\n\n<li><strong>Fraction (simplest form):<\/strong> \u00be<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>300-Word Explanation:<\/strong><\/h3>\n\n\n\n<p>To convert <strong>75%<\/strong> into a <strong>decimal<\/strong> and a <strong>fraction in simplest form<\/strong>, we need to understand what a percent is and how it relates to fractions and decimals.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 1: Understanding Percent<\/strong><\/h4>\n\n\n\n<p>The word <strong>percent<\/strong> means &#8220;per hundred.&#8221; So, <strong>75%<\/strong> literally means <strong>75 out of 100<\/strong>, or: 75%=7510075\\% = \\frac{75}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 2: Converting to a Decimal<\/strong><\/h4>\n\n\n\n<p>To change a percent into a decimal, <strong>divide the number by 100<\/strong>: 75\u00f7100=0.7575 \\div 100 = 0.75<\/p>\n\n\n\n<p>So, <strong>75% as a decimal is 0.75<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 3: Converting to a Fraction<\/strong><\/h4>\n\n\n\n<p>We already know: 75%=7510075\\% = \\frac{75}{100}<\/p>\n\n\n\n<p>Now, simplify the fraction. Both 75 and 100 can be divided by their <strong>greatest common divisor (GCD)<\/strong>, which is <strong>25<\/strong>: 75\u00f725100\u00f725=34\\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}<\/p>\n\n\n\n<p>So, <strong>75% as a simplified fraction is \u00be<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Why This Matters<\/strong><\/h4>\n\n\n\n<p>Understanding how to convert between percentages, decimals, and fractions helps in everyday life, such as when comparing discounts, calculating taxes, or interpreting statistics. For example, if an item is 75% off, knowing that this is the same as paying just 25% (or \u00bc) of the price can help you estimate quickly.<\/p>\n\n\n\n<p>In math, being able to move fluidly between formats improves number sense and helps you solve problems more efficiently.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>75% = 0.75 (decimal)<\/strong><\/li>\n\n\n\n<li><strong>75% = \u00be (fraction in simplest form)<\/strong><\/li>\n<\/ul>\n\n\n\n<p>This shows how percentages relate directly to real numbers and parts of a whole.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>write 75% as a decimal and fraction in simplest form The correct answer and explanation is: Correct Answer: 300-Word Explanation: To convert 75% into a decimal and a fraction in simplest form, we need to understand what a percent is and how it relates to fractions and decimals. Step 1: Understanding Percent The word percent [&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-22845","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22845","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=22845"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22845\/revisions"}],"predecessor-version":[{"id":22846,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22845\/revisions\/22846"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=22845"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=22845"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=22845"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}