{"id":29215,"date":"2025-06-28T07:37:10","date_gmt":"2025-06-28T07:37:10","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29215"},"modified":"2025-06-28T07:37:12","modified_gmt":"2025-06-28T07:37:12","slug":"37-03-0-521-0-9-change-the-following-to-fractions-and-reduce-t-4-4-375-5-14-75-mange-the-following-to-decimals","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/37-03-0-521-0-9-change-the-following-to-fractions-and-reduce-t-4-4-375-5-14-75-mange-the-following-to-decimals\/","title":{"rendered":"37.03 + 0.521 + 0.9 Change the following to fractions and reduce t 4. 4.375 5. 14.75 mange the following to decimals."},"content":{"rendered":"\n<p>37.03 + 0.521 + 0.9 Change the following to fractions and reduce t 4. 4.375 5. 14.75 mange the following to decimals. 6. 85\/8 7. 129\/16 actical Applications 8. Welding: Manga pound: copper 0 is in a shaft that<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"364\" height=\"700\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-437.png\" alt=\"\" class=\"wp-image-41192\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-437.png 364w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-437-156x300.png 156w\" sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Problem 3<\/h3>\n\n\n\n<p><strong>Expression<\/strong>: 37.03 + 0.521 + 0.9<br><strong>Answer<\/strong>: 38.451<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>This is a simple addition of decimals. You align the decimal points and add the numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>37.03<ul><li>0.521<\/li><\/ul>\n<ul class=\"wp-block-list\">\n<li>0.900<br>When added, the total is 38.451. Always line up the decimals vertically when adding, and if needed, add trailing zeros to make all numbers have the same number of decimal places for clarity.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Problem 4<\/h3>\n\n\n\n<p><strong>Convert to Fraction<\/strong>: 4.375<br><strong>Answer<\/strong>: 4 3\/8<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>First, separate the whole number and the decimal part. The whole number is 4. The decimal part is 0.375, which is equal to 3\/8 because:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.375 = 375\/1000<\/li>\n\n\n\n<li>Simplify 375\/1000 by dividing both the numerator and denominator by 125:<br>375 \u00f7 125 = 3<br>1000 \u00f7 125 = 8<br>So, 0.375 = 3\/8. Therefore, 4.375 = 4 3\/8.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Problem 5<\/h3>\n\n\n\n<p><strong>Convert to Fraction<\/strong>: 14.75<br><strong>Answer<\/strong>: 14 3\/4<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>Break 14.75 into 14 and 0.75. The decimal 0.75 is equal to 3\/4 because:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.75 = 75\/100<\/li>\n\n\n\n<li>Simplify 75\/100 by dividing by 25:<br>75 \u00f7 25 = 3<br>100 \u00f7 25 = 4<br>So, 0.75 = 3\/4. Therefore, 14.75 = 14 3\/4.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Problem 6<\/h3>\n\n\n\n<p><strong>Convert to Decimal<\/strong>: 85\/8<br><strong>Answer<\/strong>: 10.625<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>To convert a fraction to a decimal, divide the numerator by the denominator:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>85 \u00f7 8 = 10.625<br>This decimal represents a mixed number where 85\/8 = 10 and 5\/8. Since 5 \u00f7 8 = 0.625, the final result is 10.625.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Problem 7<\/h3>\n\n\n\n<p><strong>Convert to Decimal<\/strong>: 129\/16<br><strong>Answer<\/strong>: 8.0625<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>Divide 129 by 16:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>129 \u00f7 16 = 8.0625<br>This can also be seen as 8 and 1\/16. The fraction 1\/16 = 0.0625, so the complete decimal is 8.0625.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>In mathematics, understanding conversions between decimals and fractions is crucial because it allows for flexibility in solving problems, especially in practical applications like construction, engineering, or trades such as welding and machining. Fractions are often easier to measure or visualize in physical space, while decimals are better suited for calculations and digital displays. Being fluent in both forms ensures accuracy and efficiency. For example, in welding or machining, where precision is important, a tiny error in decimal or fraction interpretation can result in defective parts or unsafe assemblies. Hence, being able to switch easily between representations is a fundamental skill in technical fields.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1320.jpeg\" alt=\"\" class=\"wp-image-41200\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1320.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1320-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1320-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>37.03 + 0.521 + 0.9 Change the following to fractions and reduce t 4. 4.375 5. 14.75 mange the following to decimals. 6. 85\/8 7. 129\/16 actical Applications 8. Welding: Manga pound: copper 0 is in a shaft that The Correct Answer and Explanation is: Problem 3 Expression: 37.03 + 0.521 + 0.9Answer: 38.451 Explanation:This [&hellip;]<\/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-29215","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29215","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=29215"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29215\/revisions"}],"predecessor-version":[{"id":41202,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29215\/revisions\/41202"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29215"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29215"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}