{"id":21427,"date":"2025-06-15T11:07:00","date_gmt":"2025-06-15T11:07:00","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21427"},"modified":"2025-06-15T11:07:01","modified_gmt":"2025-06-15T11:07:01","slug":"solve-if-x11-x44-2x","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/solve-if-x11-x44-2x\/","title":{"rendered":"solve if x=11. x+44\/2x"},"content":{"rendered":"\n<p>solve if x=11. x+44\/2x<\/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>Let&#8217;s solve the expression step by step:<\/p>\n\n\n\n<p>Given:<br>x+442xx + \\frac{44}{2x}<br>with x=11x = 11.<\/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: Substitute the value of xx<\/h3>\n\n\n\n<p>11+442\u00d71111 + \\frac{44}{2 \\times 11}<\/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: Simplify the denominator in the fraction<\/h3>\n\n\n\n<p>11+442211 + \\frac{44}{22}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Divide numerator by denominator<\/h3>\n\n\n\n<p>11+211 + 2<\/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: Add the two numbers<\/h3>\n\n\n\n<p>1313<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final answer:<\/h3>\n\n\n\n<p>13\\boxed{13}<\/p>\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>This expression combines a simple addition and a division involving a variable xx. The key to solving it correctly is to substitute the value of xx first, then simplify the fraction carefully.<\/p>\n\n\n\n<p>The expression is: x+442xx + \\frac{44}{2x}<\/p>\n\n\n\n<p>First, we substitute x=11x = 11: 11+442\u00d71111 + \\frac{44}{2 \\times 11}<\/p>\n\n\n\n<p>Calculate the denominator in the fraction: 2\u00d711=222 \\times 11 = 22<\/p>\n\n\n\n<p>Now the expression is: 11+442211 + \\frac{44}{22}<\/p>\n\n\n\n<p>Next, simplify the fraction: 4422=2\\frac{44}{22} = 2<\/p>\n\n\n\n<p>Then add this result to 11: 11+2=1311 + 2 = 13<\/p>\n\n\n\n<p>This step-by-step process highlights the importance of following the order of operations (PEMDAS\/BODMAS): parentheses first (substitution), then multiplication in the denominator, division, and finally addition. Ignoring the order can lead to errors such as dividing incorrectly or mixing up terms.<\/p>\n\n\n\n<p>In practical terms, this expression represents a combination of a linear term xx and a rational term 442x\\frac{44}{2x}. For x=11x = 11, the rational term simplifies nicely because 44 divided by 22 gives a whole number (2), making the total sum easy to calculate.<\/p>\n\n\n\n<p>This problem is a straightforward example of algebraic substitution and simplification that strengthens understanding of fractions and order of operations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>solve if x=11. x+44\/2x The correct answer and explanation is: Let&#8217;s solve the expression step by step: Given:x+442xx + \\frac{44}{2x}with x=11x = 11. Step 1: Substitute the value of xx 11+442\u00d71111 + \\frac{44}{2 \\times 11} Step 2: Simplify the denominator in the fraction 11+442211 + \\frac{44}{22} Step 3: Divide numerator by denominator 11+211 + 2 [&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-21427","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21427","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=21427"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21427\/revisions"}],"predecessor-version":[{"id":21428,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21427\/revisions\/21428"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}