Convert .66 to a fraction<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n 0.66 as a fraction is 33\/50<\/strong>.<\/p>\n\n\n\n To convert 0.66<\/strong> to a fraction, you start by understanding what this decimal means. The decimal 0.66 represents 66 hundredths<\/strong>, which can be written as: 0.66=661000.66 = \\frac{66}{100}<\/p>\n\n\n\n This fraction is correct, but it is not in its simplest form<\/strong>. We simplify fractions by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD)<\/strong> \u2014 the largest number that divides both numbers exactly.<\/p>\n\n\n\n For 66 and 100<\/strong>, the greatest common divisor is 2<\/strong>. So, we divide both parts of the fraction: 66\u00f72100\u00f72=3350\\frac{66 \\div 2}{100 \\div 2} = \\frac{33}{50}<\/p>\n\n\n\n Now we have the simplified fraction: 0.66=33500.66 = \\frac{33}{50}<\/p>\n\n\n\n To verify that this is correct, we can convert the fraction back into a decimal: 3350=0.66\\frac{33}{50} = 0.66<\/p>\n\n\n\n This confirms that the simplification was done correctly.<\/p>\n\n\n\n Simplifying a fraction makes it easier to understand and use. The simplest form of a fraction is the one where the numerator and denominator have no common divisors except 1. This helps when comparing, adding, or subtracting fractions in other math problems.<\/p>\n\n\n\n It\u2019s important to distinguish 0.66 (two decimal places)<\/strong> from 0.666…<\/strong> (a repeating decimal).<\/p>\n\n\n\n In summary, 0.66<\/strong> is equal to the simplified fraction 33\/50<\/strong>, and the process involves recognizing the place value, converting to a fraction with a power of 10 as the denominator, and simplifying using the GCD.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert .66 to a fraction The correct answer and explanation is: Correct Answer: 0.66 as a fraction is 33\/50. Explanation (300 words): To convert 0.66 to a fraction, you start by understanding what this decimal means. The decimal 0.66 represents 66 hundredths, which can be written as: 0.66=661000.66 = \\frac{66}{100} This fraction is correct, but […]<\/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-17703","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17703","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=17703"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17703\/revisions"}],"predecessor-version":[{"id":17704,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17703\/revisions\/17704"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17703"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Correct Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n
Why Simplify?<\/h3>\n\n\n\n
Note on Repeating Decimals:<\/h3>\n\n\n\n
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