{"id":18335,"date":"2025-06-12T23:02:23","date_gmt":"2025-06-12T23:02:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=18335"},"modified":"2025-06-12T23:02:33","modified_gmt":"2025-06-12T23:02:33","slug":"write-0-85-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-0-85-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write -0.85 as a fraction in simplest form"},"content":{"rendered":"\n<p>Write -0.85 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<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p>\u22120.85=\u22121720-0.85 = -\\dfrac{17}{20}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Explanation (300 words):<\/h3>\n\n\n\n<p>To convert the decimal \u22120.85-0.85 into a fraction in simplest form, we 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\">\ud83d\udd22 Step 1: Remove the negative sign temporarily<\/h3>\n\n\n\n<p>We will deal with the negative sign at the end. So first, convert <strong>0.85<\/strong> into a fraction.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd22 Step 2: Convert the decimal into a fraction<\/h3>\n\n\n\n<p>Since <strong>0.85<\/strong> has two decimal places, we can write it as: 0.85=851000.85 = \\frac{85}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2702\ufe0f Step 3: Simplify the fraction<\/h3>\n\n\n\n<p>We need to reduce 85100\\frac{85}{100} to its simplest form.<br>Find the <strong>greatest common divisor (GCD)<\/strong> of 85 and 100.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 85: 1, 5, 17, 85<\/li>\n\n\n\n<li>Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100<\/li>\n\n\n\n<li>GCD of 85 and 100 = <strong>5<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Now divide both numerator and denominator by 5: 85\u00f75100\u00f75=1720\\frac{85 \u00f7 5}{100 \u00f7 5} = \\frac{17}{20}<\/p>\n\n\n\n<p>So, 0.85=17200.85 = \\frac{17}{20}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2796 Step 4: Add the negative sign back<\/h3>\n\n\n\n<p>Since the original number was <strong>-0.85<\/strong>, we just make the fraction negative: \u22120.85=\u22121720-0.85 = -\\frac{17}{20}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<p>\u22120.85=\u22121720-0.85 = -\\frac{17}{20}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Converting decimals to fractions involves writing the decimal as a fraction with a power of 10 (e.g., 100).<\/li>\n\n\n\n<li>Then you simplify by dividing the top and bottom by their GCD.<\/li>\n\n\n\n<li>Finally, you reapply any negative sign.<\/li>\n<\/ul>\n\n\n\n<p>This method ensures the decimal is expressed as a fraction <strong>in its lowest terms<\/strong>, which is the simplest and most accurate fractional representation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write -0.85 as a fraction in simplest form. The correct answer and explanation is: \u2705 Correct Answer: \u22120.85=\u22121720-0.85 = -\\dfrac{17}{20} \ud83e\udde0 Explanation (300 words): To convert the decimal \u22120.85-0.85 into a fraction in simplest form, we follow these steps: \ud83d\udd22 Step 1: Remove the negative sign temporarily We will deal with the negative sign at [&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-18335","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18335","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=18335"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18335\/revisions"}],"predecessor-version":[{"id":18336,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18335\/revisions\/18336"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=18335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=18335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=18335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}