{"id":20283,"date":"2025-06-14T09:09:04","date_gmt":"2025-06-14T09:09:04","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20283"},"modified":"2025-06-14T09:09:14","modified_gmt":"2025-06-14T09:09:14","slug":"write-3-6-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-3-6-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write 3.6% as a fraction in simplest form"},"content":{"rendered":"\n<p>Write 3.6% as a 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<p><strong>Correct Answer:<\/strong><br>3.6% as a fraction in simplest form is <strong>9\/250<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 Words):<\/strong><\/h3>\n\n\n\n<p>To convert <strong>3.6%<\/strong> into a fraction in simplest form, follow these steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Understand the meaning of percent<\/strong><\/h3>\n\n\n\n<p>The term <strong>percent<\/strong> means &#8220;per hundred.&#8221; So: 3.6%=3.61003.6\\% = \\frac{3.6}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Eliminate the decimal<\/strong><\/h3>\n\n\n\n<p>To remove the decimal from the numerator (3.6), multiply both the numerator and the denominator by <strong>10<\/strong>: 3.6\u00d710100\u00d710=361000\\frac{3.6 \\times 10}{100 \\times 10} = \\frac{36}{1000}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Simplify the fraction<\/strong><\/h3>\n\n\n\n<p>Now, simplify the fraction 361000\\frac{36}{1000}. Find the greatest common divisor (GCD) of 36 and 1000.<br>The factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36<br>The factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000<br>The <strong>GCD<\/strong> of 36 and 1000 is <strong>4<\/strong>.<\/p>\n\n\n\n<p>So divide numerator and denominator by 4: 36\u00f741000\u00f74=9250\\frac{36 \\div 4}{1000 \\div 4} = \\frac{9}{250}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4: Final Answer<\/strong><\/h3>\n\n\n\n<p>3.6%=92503.6\\% = \\frac{9}{250}<\/p>\n\n\n\n<p>This is the <strong>simplest form<\/strong> because the numerator (9) and denominator (250) have no common factors other than 1.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Why this matters:<\/strong><\/h3>\n\n\n\n<p>Converting percentages into fractions is useful in real-world applications like cooking, budgeting, and measuring. Fractions provide exact values, whereas percentages are sometimes rounded or estimated. Simplifying fractions makes them easier to understand and compare. For instance, if you&#8217;re calculating tax (3.6%) on an item, using the fraction 9250\\frac{9}{250} might help in precise manual calculations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 3.6% as a fraction in simplest form. The correct answer and explanation is: Correct Answer:3.6% as a fraction in simplest form is 9\/250. Explanation (300 Words): To convert 3.6% into a fraction in simplest form, follow these steps: Step 1: Understand the meaning of percent The term percent means &#8220;per hundred.&#8221; So: 3.6%=3.61003.6\\% = [&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-20283","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20283","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=20283"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20283\/revisions"}],"predecessor-version":[{"id":20284,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20283\/revisions\/20284"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}