3\/400 as a percent step by step explanation<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n ( \\frac{3}{400} = 0.75\\% )<\/p>\n\n\n\n To convert a fraction into a percent, it is important to understand the relationship between fractions and percentages. Percentages represent a part of 100. When you multiply a fraction by 100, you scale the ratio to fit into this context.<\/p>\n\n\n\n In this problem, ( \\frac{3}{400} ) represents a fraction where 3 is the numerator (part) and 400 is the denominator (whole). To express this fraction as a percentage, we use the formula: Start by dividing the numerator by the denominator. Performing the calculation ( 3 \\div 400 ), we obtain 0.0075. This decimal value represents the proportion of 3 in 400. Next, multiply this decimal by 100 to convert it into a percent: The multiplication by 100 shifts the decimal point two places to the right, giving the final percentage value.<\/p>\n\n\n\n Understanding this step-by-step process helps in tackling similar problems. Fractions with larger denominators like 400 can be intimidating, but breaking the calculation into parts\u2014dividing first and then multiplying\u2014makes the process straightforward.<\/p>\n\n\n\n In conclusion, ( \\frac{3}{400} ) as a percent is 0.75%. This method works universally for any fraction, making it a valuable skill for interpreting ratios and proportions in percentage terms.<\/p>\n","protected":false},"excerpt":{"rendered":" 3\/400 as a percent step by step explanation The Correct Answer and Explanation is: To convert ( \\frac{3}{400} ) into a percent, follow these steps: Final Answer: ( \\frac{3}{400} = 0.75\\% ) Detailed Explanation (300 Words): To convert a fraction into a percent, it is important to understand the relationship between fractions and percentages. Percentages […]<\/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-167518","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167518","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=167518"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167518\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167518"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167518"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}To convert ( \\frac{3}{400} ) into a percent, follow these steps:<\/h3>\n\n\n\n
\n
\n
\n
[
\\text{Percent} = \\left( \\frac{\\text{Numerator}}{\\text{Denominator}} \\right) \\times 100
]<\/li>\n\n\n\n
[
\\text{Percent} = \\left( \\frac{3}{400} \\right) \\times 100
]<\/li>\n\n\n\n\n
( 3 \\div 400 = 0.0075 ).<\/li>\n<\/ul>\n\n\n\n\n
[
0.0075 \\times 100 = 0.75\\%
]<\/li>\n<\/ol>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
\n\n\n\nDetailed Explanation (300 Words):<\/h3>\n\n\n\n
[
\\text{Percent} = \\left( \\frac{\\text{Numerator}}{\\text{Denominator}} \\right) \\times 100
]<\/p>\n\n\n\n
[
0.0075 \\times 100 = 0.75\\%
]<\/p>\n\n\n\n