{"id":17465,"date":"2025-06-12T12:39:15","date_gmt":"2025-06-12T12:39:15","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=17465"},"modified":"2025-06-12T12:39:19","modified_gmt":"2025-06-12T12:39:19","slug":"write-the-fraction-5-6-as-a-percent","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-the-fraction-5-6-as-a-percent\/","title":{"rendered":"Write the fraction 5\/6 as a percent"},"content":{"rendered":"\n<p>Write the fraction 5\/6 as a percent. Round to the nearest hundredth.<\/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>To write the fraction <strong>5\/6<\/strong> as a percent and round to the nearest hundredth, 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\">\u2705 <strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p><strong>5\/6 = 83.33% (rounded to the nearest hundredth)<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcda <strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>To convert a fraction into a percent, you multiply the fraction by 100. This is because &#8220;percent&#8221; means &#8220;per hundred,&#8221; so you&#8217;re expressing the fraction out of 100 instead of its original denominator.<\/p>\n\n\n\n<p>Let\u2019s apply this to the fraction <strong>5\/6<\/strong>: 56\u00d7100=(5\u00d71006)=5006\\frac{5}{6} \\times 100 = \\left(\\frac{5 \\times 100}{6}\\right) = \\frac{500}{6}<\/p>\n\n\n\n<p>Now divide 500 by 6: 500\u00f76=83.3333&#8230;500 \\div 6 = 83.3333&#8230;<\/p>\n\n\n\n<p>The decimal repeats with 3s, which means it is a <strong>repeating decimal<\/strong>. Since the problem asks for the answer to be rounded to the <strong>nearest hundredth<\/strong>, we look at the third digit after the decimal to decide how to round.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>83.3333&#8230; \u2192 The first two decimal places are <strong>33<\/strong>.<\/li>\n\n\n\n<li>The third decimal digit is a <strong>3<\/strong>, which is less than 5.<\/li>\n\n\n\n<li>Therefore, we round down, and the decimal becomes <strong>83.33<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Now, we add the percent sign to convert the decimal into a percent: 83.33%\\boxed{83.33\\%}<\/p>\n\n\n\n<p>This tells us that <strong>5\/6<\/strong> is equivalent to <strong>83.33%<\/strong>, which means if you had something divided into 6 equal parts and took 5 of those parts, you would have 83.33% of the whole.<\/p>\n\n\n\n<p>This process is essential in many real-world applications such as finance, grading systems, and statistics, where percentages provide a clearer picture of proportions compared to fractions. For example, a test score of 5\/6 might be more easily understood as an 83.33% score, which people intuitively associate with a \u201cB\u201d grade in many grading systems.<\/p>\n\n\n\n<p>In summary, converting <strong>5\/6 to a percent<\/strong> involves multiplying by 100, simplifying, and rounding to the desired place value, resulting in <strong>83.33%<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the fraction 5\/6 as a percent. Round to the nearest hundredth. The correct answer and explanation is: To write the fraction 5\/6 as a percent and round to the nearest hundredth, follow these steps: \u2705 Correct Answer: 5\/6 = 83.33% (rounded to the nearest hundredth) \ud83d\udcda Explanation (300 words): To convert a fraction into [&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-17465","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17465","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=17465"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17465\/revisions"}],"predecessor-version":[{"id":17466,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17465\/revisions\/17466"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17465"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17465"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17465"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}