Find a fraction that is equivalent to 1.5\/9 with a whole number in both the numerator and denominator<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n An equivalent fraction to 1.5\/9<\/strong> with whole numbers in both the numerator and denominator is: The original fraction is 1.5\/9<\/strong>. However, fractions are typically expressed using whole numbers<\/strong> (integers) in both the numerator and the denominator. Since 1.5 is a decimal<\/strong>, we need to eliminate the decimal<\/strong> to make it a proper fraction.<\/p>\n\n\n\n To remove the decimal in 1.5<\/strong>, we can multiply both the numerator and denominator by 2<\/strong>: 1.5\u00d729\u00d72=318\\frac{1.5 \\times 2}{9 \\times 2} = \\frac{3}{18}<\/p>\n\n\n\n This works because multiplying both the numerator and denominator of a fraction by the same number does not change its value<\/strong>\u2014it just gives us an equivalent fraction<\/strong>.<\/p>\n\n\n\n Let\u2019s look at the value of the original fraction: 1.59=0.1666\u2026\\frac{1.5}{9} = 0.1666\\ldots<\/p>\n\n\n\n Now check the value of the new fraction: 318=0.1666\u2026\\frac{3}{18} = 0.1666\\ldots<\/p>\n\n\n\n Both fractions have the same decimal representation, confirming that 1.5\/9 and 3\/18 are equivalent<\/strong>.<\/p>\n\n\n\n If you simplify 3\/18<\/strong>, you get: 3\u00f7318\u00f73=16\\frac{3 \\div 3}{18 \\div 3} = \\frac{1}{6}<\/p>\n\n\n\n Interestingly, this shows that: 1.59=16\\frac{1.5}{9} = \\frac{1}{6}<\/p>\n\n\n\n The fraction 3\/18<\/strong> is equivalent to 1.5\/9<\/strong>, and both have a value of 1\/6<\/strong> when simplified. This method of eliminating decimals in fractions is a useful skill in algebra and basic arithmetic, ensuring we work with clean, whole-number values.<\/p>\n","protected":false},"excerpt":{"rendered":" Find a fraction that is equivalent to 1.5\/9 with a whole number in both the numerator and denominator The correct answer and explanation is: \u2705 Correct Answer: An equivalent fraction to 1.5\/9 with whole numbers in both the numerator and denominator is:3\/18 \ud83d\udcda Explanation (300 words): The original fraction is 1.5\/9. However, fractions are typically […]<\/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-26687","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26687","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=26687"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26687\/revisions"}],"predecessor-version":[{"id":26688,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26687\/revisions\/26688"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26687"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26687"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\n
3\/18<\/strong><\/p>\n\n\n\n
\n\n\n\n\ud83d\udcda Explanation (300 words):<\/strong><\/h3>\n\n\n\n
\ud83d\udd22 Step 1: Convert the decimal to a whole number<\/h4>\n\n\n\n
\n\n\n\n\ud83d\udca1 Why is this valid?<\/h4>\n\n\n\n
\n\n\n\n\ud83d\udd04 Simplifying Back:<\/h4>\n\n\n\n
\n\n\n\n\u2705 Conclusion:<\/h3>\n\n\n\n