If a parking lot holds 1,600 cars and fills ( 3)\/(4) of its spaces, how many spaces are filled?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n The parking lot holds 1,600 cars in total, and it is filled to 34\\frac{3}{4} of its capacity. We need to find out how many spaces are filled.<\/p>\n\n\n\n 1,200 spaces are filled.<\/strong><\/p>\n\n\n\n This problem involves a simple application of fractions to real-world quantities. A parking lot can hold 1,600 cars in total, and we are told that three-quarters (34\\frac{3}{4}) of these spaces are currently occupied. The fraction 34\\frac{3}{4} represents the part of the total capacity that is in use. To find the exact number of filled spaces, we multiply the total number of spaces (1,600) by the fraction filled (34\\frac{3}{4}).<\/p>\n\n\n\n Multiplying by a fraction is equivalent to dividing by the denominator and then multiplying by the numerator. Here, the denominator is 4, so dividing 1,600 by 4 gives 400. This means one-quarter of the parking lot is 400 spaces. Since three-quarters are filled, we multiply this 400 by 3, which results in 1,200 spaces.<\/p>\n\n\n\n Another way to interpret this is by converting the fraction to a decimal. 34=0.75\\frac{3}{4} = 0.75. Multiplying 1,600 by 0.75 also gives 1,200, confirming the result.<\/p>\n\n\n\n This kind of problem is common in everyday situations involving fractions, percentages, or proportions. Understanding how to multiply whole numbers by fractions helps in scenarios like budgeting, resource allocation, and measurement conversions.<\/p>\n\n\n\n In summary, the key steps were:<\/p>\n\n\n\n Therefore, when the parking lot is three-quarters full, 1,200 out of 1,600 parking spaces are occupied.<\/p>\n","protected":false},"excerpt":{"rendered":" If a parking lot holds 1,600 cars and fills ( 3)\/(4) of its spaces, how many spaces are filled? The correct answer and explanation is: The parking lot holds 1,600 cars in total, and it is filled to 34\\frac{3}{4} of its capacity. We need to find out how many spaces are filled. Step-by-step solution: Final […]<\/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-17842","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17842","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=17842"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17842\/revisions"}],"predecessor-version":[{"id":17843,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17842\/revisions\/17843"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17842"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17842"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17842"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nStep-by-step solution:<\/h3>\n\n\n\n
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The parking lot has 1,600 spaces. 34\\frac{3}{4} of those spaces are filled, meaning 75% of the spaces are occupied.<\/li>\n\n\n\n
Number of filled spaces = 34\u00d71600\\frac{3}{4} \\times 1600.<\/li>\n\n\n\n
\n\n\n\nFinal answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n
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