convert each fraction to a decimal 4\/6<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Correct Answer:<\/strong><\/p>\n\n\n\n To convert the fraction 4\/6<\/strong> to a decimal: 4\u00f76=0.666\u20264 \\div 6 = 0.666\\ldots<\/p>\n\n\n\n So, 4\/6 as a decimal is approximately 0.666…<\/strong>, which is a repeating decimal and can also be written as 0.667<\/strong> if rounded to three decimal places.<\/p>\n\n\n\n Converting fractions to decimals is a fundamental concept in mathematics that helps us express parts of a whole in a different format. A fraction<\/strong> like 4\/6 tells us we have 4 parts out of 6 equal parts. To convert it to a decimal, we simply divide the numerator (top number) by the denominator (bottom number).<\/strong><\/p>\n\n\n\n Let\u2019s walk through the process:<\/p>\n\n\n\n In summary, converting fractions to decimals helps us visualize and use numbers in everyday contexts such as money, measurements, and data analysis. The fraction 4\/6 equals the repeating decimal 0.666…<\/strong>, which can also be written as 0.\\overline{6}<\/strong> or 0.667<\/strong> (rounded).<\/p>\n","protected":false},"excerpt":{"rendered":" convert each fraction to a decimal 4\/6 The correct answer and explanation is: Correct Answer: To convert the fraction 4\/6 to a decimal: 4\u00f76=0.666\u20264 \\div 6 = 0.666\\ldots So, 4\/6 as a decimal is approximately 0.666…, which is a repeating decimal and can also be written as 0.667 if rounded to three decimal places. Explanation […]<\/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-20010","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20010","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=20010"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20010\/revisions"}],"predecessor-version":[{"id":20011,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20010\/revisions\/20011"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation (300 words):<\/strong><\/h3>\n\n\n\n
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The fraction 4\/6 means 4 divided by 6.<\/li>\n\n\n\n
You divide 4 by 6 using long division or a calculator. 4\u00f76=0.666\u20264 \\div 6 = 0.666\\ldots The 6 repeats forever, so the result is a repeating decimal<\/strong>. This can be written as: 0.6\u203e0.\\overline{6} where the bar above the 6 indicates that it repeats indefinitely.<\/li>\n\n\n\n
Sometimes we round repeating decimals for practical use. For instance, in financial or scientific settings, you might round 0.666…<\/strong> to 0.667<\/strong> if working with three decimal places.<\/li>\n\n\n\n
Before converting, you can simplify 4\/6 by dividing both the numerator and denominator by their greatest common factor (2): 4\/6=2\/34\/6 = 2\/3 Converting 2\/3<\/strong> also gives 0.666…<\/strong>, confirming our result.<\/li>\n<\/ol>\n\n\n\n