A wall of a building is 22 inches wide. Ten inches is concrete, 8 inches is brick, and 4 inches is limestone. What fraction of the wall is brick? (Type a whole number or a simplified fraction. )<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n The fraction of the wall that is brick is 8\/22<\/strong>, which simplifies to 4\/11<\/strong>.<\/p>\n\n\n\n To find what fraction of the wall is made of brick, start by understanding the total thickness of the wall and the thickness of the brick portion.<\/p>\n\n\n\n The total thickness of the wall is 22 inches. This is made up of three materials:<\/p>\n\n\n\n To find the fraction of the wall that is brick, divide the thickness of the brick by the total thickness of the wall: thickness of bricktotal thickness=822\\frac{\\text{thickness of brick}}{\\text{total thickness}} = \\frac{8}{22}<\/p>\n\n\n\n Next, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 8 and 22 is 2.<\/p>\n\n\n\n Divide numerator and denominator by 2: 8\u00f7222\u00f72=411\\frac{8 \\div 2}{22 \\div 2} = \\frac{4}{11}<\/p>\n\n\n\n So, the brick makes up 411\\frac{4}{11} of the wall.<\/p>\n\n\n\n Fractions represent parts of a whole. Here, the whole is the entire wall thickness (22 inches), and the part is the brick thickness (8 inches). Simplifying fractions helps express the part-to-whole relationship in the simplest form, which is easier to understand and compare.<\/p>\n\n\n\n In summary, the fraction of the wall that is brick is 411\\boxed{\\frac{4}{11}}.<\/p>\n","protected":false},"excerpt":{"rendered":" A wall of a building is 22 inches wide. Ten inches is concrete, 8 inches is brick, and 4 inches is limestone. What fraction of the wall is brick? (Type a whole number or a simplified fraction. ) The correct answer and explanation is: The fraction of the wall that is brick is 8\/22, which […]<\/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-30079","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30079","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=30079"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30079\/revisions"}],"predecessor-version":[{"id":30080,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30079\/revisions\/30080"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=30079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=30079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=30079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
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Additional notes:<\/h3>\n\n\n\n