{"id":25143,"date":"2025-06-18T21:02:55","date_gmt":"2025-06-18T21:02:55","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=25143"},"modified":"2025-06-18T21:02:57","modified_gmt":"2025-06-18T21:02:57","slug":"write-1-42-as-a-fraction-or-mixed-number-in-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-1-42-as-a-fraction-or-mixed-number-in-simplest-form\/","title":{"rendered":"Write 1.42 as a fraction or mixed number in simplest form"},"content":{"rendered":"\n<p>Write 1.42 as a fraction or mixed number in simplest form.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>To write 1.42 as a fraction or mixed number in simplest form, follow these steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the number<\/h3>\n\n\n\n<p>1.42 is a <strong>decimal number<\/strong>. It can be written as a mixed number because it has a whole part (1) and a fractional part (0.42).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert the decimal part to a fraction<\/h3>\n\n\n\n<p>The decimal part is 0.42.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.42 means 42 hundredths, or 42100\\frac{42}{100}.<\/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\">Step 3: Simplify the fraction 42100\\frac{42}{100}<\/h3>\n\n\n\n<p>To simplify 42100\\frac{42}{100}, find the greatest common divisor (GCD) of 42 and 100.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42<\/li>\n\n\n\n<li>Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100<\/li>\n\n\n\n<li>The greatest common factor is 2.<\/li>\n<\/ul>\n\n\n\n<p>Divide numerator and denominator by 2: 42\u00f72100\u00f72=2150\\frac{42 \\div 2}{100 \\div 2} = \\frac{21}{50}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Write the mixed number<\/h3>\n\n\n\n<p>Since the original number is 1.42, which is 1+0.421 + 0.42, we write it as: 121501 \\frac{21}{50}<\/p>\n\n\n\n<p>This is the mixed number form in simplest terms.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Optional &#8211; write as an improper fraction<\/h3>\n\n\n\n<p>If you want the improper fraction form, convert the mixed number to an improper fraction: 12150=1\u00d750+2150=50+2150=71501 \\frac{21}{50} = \\frac{1 \\times 50 + 21}{50} = \\frac{50 + 21}{50} = \\frac{71}{50}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final answers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mixed number: 121501 \\frac{21}{50}<\/li>\n\n\n\n<li>Improper fraction: 7150\\frac{71}{50}<\/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\">Explanation Summary (300 words):<\/h3>\n\n\n\n<p>Writing a decimal number like 1.42 as a fraction or mixed number involves converting the decimal portion into a fraction and then simplifying that fraction.<\/p>\n\n\n\n<p>First, recognize that 1.42 consists of a whole number part (1) and a decimal part (0.42). The decimal part represents a fraction of a whole. Specifically, 0.42 means 42 parts out of 100, which can be written as 42100\\frac{42}{100}.<\/p>\n\n\n\n<p>The fraction 42100\\frac{42}{100} is not in simplest form because both the numerator and denominator share a common factor. To simplify a fraction, you find the greatest common divisor (GCD) of both numbers. Here, 42 and 100 share a GCD of 2. Dividing both numerator and denominator by 2 reduces the fraction to 2150\\frac{21}{50}.<\/p>\n\n\n\n<p>Next, combine the whole number part with the simplified fraction to write the decimal as a mixed number: 121501 \\frac{21}{50}.<\/p>\n\n\n\n<p>If you prefer to write it as an improper fraction (a single fraction without a whole number part), multiply the whole number (1) by the denominator (50), add the numerator (21), and put the result over the original denominator. This gives 7150\\frac{71}{50}.<\/p>\n\n\n\n<p>Thus, 1.42 can be expressed as 121501 \\frac{21}{50} in simplest mixed number form or 7150\\frac{71}{50} as an improper fraction. Both are equivalent to the decimal 1.42.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 1.42 as a fraction or mixed number in simplest form. The correct answer and explanation is: To write 1.42 as a fraction or mixed number in simplest form, follow these steps: Step 1: Understand the number 1.42 is a decimal number. It can be written as a mixed number because it has a whole [&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-25143","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25143","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=25143"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25143\/revisions"}],"predecessor-version":[{"id":25145,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25143\/revisions\/25145"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25143"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25143"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}