{"id":22020,"date":"2025-06-16T08:52:19","date_gmt":"2025-06-16T08:52:19","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=22020"},"modified":"2025-06-16T08:52:23","modified_gmt":"2025-06-16T08:52:23","slug":"write-175-as-a-decimal-and-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-175-as-a-decimal-and-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write 175% as a decimal and as a fraction in simplest form"},"content":{"rendered":"\n<p>Write 175% as a decimal and as a fraction 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>Sure! Let&#8217;s start with the answer and then I\u2019ll explain the steps clearly.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>175% as a decimal:<\/strong> 1.75<\/li>\n\n\n\n<li><strong>175% as a fraction in simplest form:<\/strong> 74\\frac{7}{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\">Explanation:<\/h3>\n\n\n\n<p><strong>Step 1: Understanding percent<\/strong><\/p>\n\n\n\n<p>The symbol &#8220;%&#8221; means &#8220;per hundred.&#8221; So, 175% literally means &#8220;175 per 100&#8221; or 175100\\frac{175}{100}.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 2: Convert percent to decimal<\/strong><\/p>\n\n\n\n<p>To convert a percentage to a decimal, divide the number by 100: 175%=175100=1.75175\\% = \\frac{175}{100} = 1.75<\/p>\n\n\n\n<p>This means 175% as a decimal is <strong>1.75<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 3: Convert percent to fraction<\/strong><\/p>\n\n\n\n<p>We already wrote 175% as 175100\\frac{175}{100}. Now, simplify the fraction:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Find the greatest common divisor (GCD) of 175 and 100.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 175: 1, 5, 7, 25, 35, 175<\/li>\n\n\n\n<li>Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100<\/li>\n<\/ul>\n\n\n\n<p>The greatest common factor they share is <strong>25<\/strong>.<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Divide numerator and denominator by 25:<\/li>\n<\/ol>\n\n\n\n<p>175\u00f725100\u00f725=74\\frac{175 \\div 25}{100 \\div 25} = \\frac{7}{4}<\/p>\n\n\n\n<p>So, 175% as a fraction in simplest form is 74\\frac{7}{4}.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 4: Interpretation<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>As a decimal, 1.75 means one whole plus 0.75 (which is 3\/4).<\/li>\n\n\n\n<li>As a fraction, 74\\frac{7}{4} means 7 parts out of 4, or 1 and 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\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To convert from percent to decimal, divide by 100.<\/li>\n\n\n\n<li>To convert from percent to fraction, write as numerator over 100, then simplify.<\/li>\n<\/ul>\n\n\n\n<p>This process helps in many math and real-life problems like calculating discounts, interest rates, or proportions, where percentages are frequently converted into decimals or fractions for calculations<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 175% as a decimal and as a fraction in simplest form. The correct answer and explanation is: Sure! Let&#8217;s start with the answer and then I\u2019ll explain the steps clearly. Answer: Explanation: Step 1: Understanding percent The symbol &#8220;%&#8221; means &#8220;per hundred.&#8221; So, 175% literally means &#8220;175 per 100&#8221; or 175100\\frac{175}{100}. Step 2: Convert [&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-22020","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22020","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=22020"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22020\/revisions"}],"predecessor-version":[{"id":22021,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22020\/revisions\/22021"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=22020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=22020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=22020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}