{"id":36406,"date":"2025-06-25T07:11:27","date_gmt":"2025-06-25T07:11:27","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=36406"},"modified":"2025-06-25T07:11:29","modified_gmt":"2025-06-25T07:11:29","slug":"determine-if-the-3-8-and-375-1000-pairs-are-equal-by-writing-each-in-their-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/determine-if-the-3-8-and-375-1000-pairs-are-equal-by-writing-each-in-their-simplest-form\/","title":{"rendered":"Determine if the 3\/8 and 375\/1000 pairs are equal by writing each in their simplest form"},"content":{"rendered":"\n<p>Determine if the 3\/8 and 375\/1000 pairs are equal by writing each in their simplest form<\/p>\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<p>To determine if the fractions <strong>3\/8<\/strong> and <strong>375\/1000<\/strong> are equal, first simplify both to their lowest terms.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 1: Simplify 3\/8<\/strong><\/p>\n\n\n\n<p>The fraction 3\/8 is already in its simplest form. The numerator (3) and the denominator (8) have no common factor other than 1.<\/p>\n\n\n\n<p>So:<br><strong>3\/8 = 3\/8<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 2: Simplify 375\/1000<\/strong><\/p>\n\n\n\n<p>To simplify this, find the greatest common factor (GCF) of 375 and 1000.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375<\/li>\n\n\n\n<li>Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000<\/li>\n\n\n\n<li>The greatest common factor is <strong>125<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Now divide both numerator and denominator by 125:<\/p>\n\n\n\n<p>375 \u00f7 125 = 3<br>1000 \u00f7 125 = 8<\/p>\n\n\n\n<p>So:<br><strong>375\/1000 = 3\/8<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>Since both 3\/8 and 375\/1000 simplify to the same value (3\/8), they are <strong>equal<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>Two fractions are considered equal if they reduce to the same simplest form. Simplifying a fraction means dividing both the numerator and the denominator by their greatest common factor. The fraction 3\/8 is already in lowest terms, and 375\/1000 reduces to 3\/8 when both parts are divided by 125. This shows that both represent the same part of a whole. Simplifying fractions is a crucial step in comparing them, especially when the numerators and denominators differ. In practical situations, such as measurements, simplifying helps clarify equivalencies between values expressed in different forms. Therefore, 3\/8 and 375\/1000 are indeed equal.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Determine if the 3\/8 and 375\/1000 pairs are equal by writing each in their simplest form The correct answer and explanation is: To determine if the fractions 3\/8 and 375\/1000 are equal, first simplify both to their lowest terms. Step 1: Simplify 3\/8 The fraction 3\/8 is already in its simplest form. The numerator (3) [&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-36406","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/36406","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=36406"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/36406\/revisions"}],"predecessor-version":[{"id":36410,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/36406\/revisions\/36410"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=36406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=36406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=36406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}