Convert 0.96 to a fraction. Give your answer in its simplest form.<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Answer:<\/strong> To convert a decimal like 0.96 to a fraction, we need to follow a series of logical steps.<\/p>\n\n\n\n The decimal 0.96<\/strong> means 96 hundredths. That is: 0.96=961000.96 = \\frac{96}{100}<\/p>\n\n\n\n Now we simplify the fraction 96100\\frac{96}{100}. To do this, we find the greatest common divisor (GCD)<\/strong> of the numerator and the denominator. The GCD of 96 and 100 is 4<\/strong>.<\/p>\n\n\n\n Now divide both the numerator and the denominator by 4: 96\u00f74100\u00f74=2425\\frac{96 \\div 4}{100 \\div 4} = \\frac{24}{25}<\/p>\n\n\n\n So, 0.96=24250.96 = \\frac{24}{25} in its simplest form<\/strong>.<\/p>\n\n\n\n To check our answer, we convert the fraction back to a decimal: 2425=0.96\\frac{24}{25} = 0.96<\/p>\n\n\n\n So the conversion is accurate.<\/p>\n\n\n\n When converting decimals to fractions, we often first get a fraction that is not in its lowest terms. Simplifying helps express the number in the most efficient and universally accepted form. For example, while 96100\\frac{96}{100} is technically correct, 2425\\frac{24}{25} is simpler and cleaner.<\/p>\n\n\n\n Converting decimals like 0.96 to a fraction is a foundational skill in math. By expressing 0.96 as 96100\\frac{96}{100} and simplifying to 2425\\frac{24}{25}, we turn a decimal into an exact rational number. This is useful in algebra, geometry, and many real-world applications involving measurements and ratios.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert 0.96 to a fraction. Give your answer in its simplest form. The correct answer and explanation is: Answer:0.96 as a fraction in its simplest form is 24\/25. Step-by-Step Explanation (with 300 words): To convert a decimal like 0.96 to a fraction, we need to follow a series of logical steps. Step 1: Understand the […]<\/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-16784","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16784","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=16784"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16784\/revisions"}],"predecessor-version":[{"id":16785,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16784\/revisions\/16785"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
0.96 as a fraction in its simplest form is 24\/25<\/strong>.<\/p>\n\n\n\n
\n\n\n\nStep-by-Step Explanation (with 300 words):<\/strong><\/h3>\n\n\n\n
Step 1: Understand the Decimal<\/strong><\/h4>\n\n\n\n
Step 2: Simplify the Fraction<\/strong><\/h4>\n\n\n\n
Step 3: Confirm the Answer<\/strong><\/h4>\n\n\n\n
\n\n\n\nWhy Simplification Is Important<\/strong><\/h3>\n\n\n\n
Conclusion<\/strong><\/h3>\n\n\n\n