The given expression is:110:115\\frac{1}{10} : \\frac{1}{15}101\u200b:151\u200b<\/p>\n\n\n\n
The colon “:” represents division. So, the expression can be rewritten as:110\u00f7115\\frac{1}{10} \\div \\frac{1}{15}101\u200b\u00f7151\u200b<\/p>\n\n\n\n
Step 1: Apply the rule for dividing fractions<\/strong><\/p>\n\n\n\n When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 115\\frac{1}{15}151\u200b is 151\\frac{15}{1}115\u200b. Thus:110\u00f7115=110\u00d7151\\frac{1}{10} \\div \\frac{1}{15} = \\frac{1}{10} \\times \\frac{15}{1}101\u200b\u00f7151\u200b=101\u200b\u00d7115\u200b<\/p>\n\n\n\n Step 2: Multiply the fractions<\/strong><\/p>\n\n\n\n Multiply the numerators:1\u00d715=151 \\times 15 = 151\u00d715=15<\/p>\n\n\n\n Multiply the denominators:10\u00d71=1010 \\times 1 = 1010\u00d71=10<\/p>\n\n\n\n Thus, the product is:1510\\frac{15}{10}1015\u200b<\/p>\n\n\n\n Step 3: Simplify the fraction<\/strong><\/p>\n\n\n\n Both numerator and denominator can be divided by 5, which is their greatest common divisor (GCD):15\u00f7510\u00f75=32\\frac{15 \\div 5}{10 \\div 5} = \\frac{3}{2}10\u00f7515\u00f75\u200b=23\u200b<\/p>\n\n\n\n Thus, the simplest form of the expression is:32\\frac{3}{2}23\u200b<\/p>\n\n\n\n Explanation:<\/strong><\/p>\n\n\n\n The problem involves dividing two fractions. Division of fractions follows a simple rule: multiply the first fraction by the reciprocal of the second. This operation transforms the division into multiplication, which simplifies the calculation process.<\/p>\n\n\n\n After applying this rule, the multiplication of numerators and denominators leads to a new fraction, 1510\\frac{15}{10}1015\u200b. Simplification of this fraction requires finding the greatest common divisor of the numerator and denominator. The number 5 evenly divides both 15 and 10, producing the simplified fraction 32\\frac{3}{2}23\u200b.<\/p>\n\n\n\n This final fraction, 32\\frac{3}{2}23\u200b, is an improper fraction since the numerator is larger than the denominator. It can also be expressed as a mixed number, 1121 \\frac{1}{2}121\u200b, but in this problem, the fraction 32\\frac{3}{2}23\u200b represents the simplest form of the given expression. Simplifying fractions helps present answers in their most reduced and understandable form, making them easier to interpret in mathematical contexts.<\/p>\n\n\n\n Express 1\/10: 1\/15 in simplest form. Please give step by step explanation. The Correct Answer and Explanation is: The given expression is:110:115\\frac{1}{10} : \\frac{1}{15}101\u200b:151\u200b The colon “:” represents division. So, the expression can be rewritten as:110\u00f7115\\frac{1}{10} \\div \\frac{1}{15}101\u200b\u00f7151\u200b Step 1: Apply the rule for dividing fractions When dividing fractions, multiply the first fraction by the […]<\/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-234985","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234985","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=234985"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234985\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234985"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234985"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234985"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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