{"id":276424,"date":"2025-07-31T05:42:35","date_gmt":"2025-07-31T05:42:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=276424"},"modified":"2025-07-31T05:42:37","modified_gmt":"2025-07-31T05:42:37","slug":"write-3-200-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/31\/write-3-200-as-a-decimal\/","title":{"rendered":"write 3\/200 as a decimal"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-1292.png\" alt=\"\" class=\"wp-image-276425\"\/><\/figure>\n\n\n\n<p><strong>The Correct Answer and Explanation is:<\/strong><\/p>\n\n\n\n<p>The correct answer is&nbsp;<strong>0.015<\/strong>.<\/p>\n\n\n\n<p>To convert the fraction 3\/200 into a decimal, you can use one of two primary methods. Both methods will yield the same result.<\/p>\n\n\n\n<p>The first and most direct method is to perform long division. A fraction represents a division problem where the numerator is divided by the denominator. In this case, you need to calculate 3 divided by 200. Since 3 is smaller than 200, the result will be less than one. You begin by setting up the division problem. Place a decimal point after the 3 and add trailing zeros (e.g., 3.000). A corresponding decimal point is placed in the answer space above. First, you see that 200 does not go into 3, so you place a 0 in the ones place. Next, you consider 30. Again, 200 does not go into 30, so you place a 0 in the tenths place. Then, you consider 300. The number 200 goes into 300 one time. You write a 1 in the hundredths place. After subtracting 200 (1 \u00d7 200) from 300, you are left with a remainder of 100. You bring down another zero to make the new number 1000. Finally, 200 goes into 1000 exactly five times (5 \u00d7 200 = 1000). You write a 5 in the thousandths place. There is no remainder, so the division is complete. The resulting decimal is 0.015.<\/p>\n\n\n\n<p>The second method involves creating an equivalent fraction with a denominator that is a power of 10, such as 100, 1000, or 10000. This makes the conversion to a decimal very simple. Looking at the denominator, 200, we can see that multiplying it by 5 will result in 1000, which is a power of 10. To keep the fraction&#8217;s value unchanged, you must multiply both the numerator and the denominator by the same number. So, you multiply 3 by 5 and 200 by 5. This gives you the equivalent fraction 15\/1000. This fraction is read as &#8220;fifteen thousandths,&#8221; which directly translates to the decimal 0.015, where the final digit, 5, is in the thousandths place.<\/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-banner6-2611.jpeg\" alt=\"\" class=\"wp-image-276426\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;0.015. To convert the fraction 3\/200 into a decimal, you can use one of two primary methods. Both methods will yield the same result. The first and most direct method is to perform long division. A fraction represents a division problem where the numerator is divided [&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-276424","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/276424","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=276424"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/276424\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=276424"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=276424"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=276424"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}