{"id":226868,"date":"2025-06-05T16:15:50","date_gmt":"2025-06-05T16:15:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226868"},"modified":"2025-06-05T16:15:52","modified_gmt":"2025-06-05T16:15:52","slug":"solve-the-equation-w-3-3-8-1-5-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/solve-the-equation-w-3-3-8-1-5-6\/","title":{"rendered":"solve the equation w + 3 3\/8 = 1 5\/6"},"content":{"rendered":"\n

solve the equation w + 3 3\/8 = 1 5\/6<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Solution to the Equation<\/strong><\/h3>\n\n\n\n

We are given the equation: w+338=156w + 3\\frac{3}{8} = 1\\frac{5}{6}<\/p>\n\n\n\n

Step 1: Convert Mixed Numbers to Improper Fractions<\/strong><\/h3>\n\n\n\n

First, convert both mixed numbers to improper fractions:<\/p>\n\n\n\n

    \n
  • 338=3\u00d78+38=24+38=2783\\frac{3}{8} = \\frac{3 \\times 8 + 3}{8} = \\frac{24 + 3}{8} = \\frac{27}{8}<\/li>\n\n\n\n
  • 156=1\u00d76+56=6+56=1161\\frac{5}{6} = \\frac{1 \\times 6 + 5}{6} = \\frac{6 + 5}{6} = \\frac{11}{6}<\/li>\n<\/ul>\n\n\n\n

    So the equation becomes: w+278=116w + \\frac{27}{8} = \\frac{11}{6}<\/p>\n\n\n\n

    Step 2: Isolate ww<\/strong><\/h3>\n\n\n\n

    To solve for ww, subtract 278\\frac{27}{8} from both sides: w=116\u2212278w = \\frac{11}{6} – \\frac{27}{8}<\/p>\n\n\n\n

    Step 3: Find a Common Denominator<\/strong><\/h3>\n\n\n\n

    The least common denominator of 6 and 8 is 24. Convert both fractions:<\/p>\n\n\n\n

      \n
    • 116=11\u00d746\u00d74=4424\\frac{11}{6} = \\frac{11 \\times 4}{6 \\times 4} = \\frac{44}{24}<\/li>\n\n\n\n
    • 278=27\u00d738\u00d73=8124\\frac{27}{8} = \\frac{27 \\times 3}{8 \\times 3} = \\frac{81}{24}<\/li>\n<\/ul>\n\n\n\n

      Now subtract: w=4424\u22128124=\u22123724w = \\frac{44}{24} – \\frac{81}{24} = \\frac{-37}{24}<\/p>\n\n\n\n

      Step 4: Convert to Mixed Number<\/strong><\/h3>\n\n\n\n

      \u22123724=\u221211324\\frac{-37}{24} = -1 \\frac{13}{24}<\/p>\n\n\n\n

      \u2705 Final Answer:<\/h3>\n\n\n\n

      w=\u221211324w = -1 \\frac{13}{24}<\/p>\n\n\n\n

      \n\n\n\n

      300-Word Explanation<\/strong><\/h3>\n\n\n\n

      To solve the equation w+338=156w + 3\\frac{3}{8} = 1\\frac{5}{6}, we need to isolate the variable ww, meaning we want to get ww by itself on one side of the equation. Since there’s an addition of a mixed number (3383\\frac{3}{8}) to ww, we subtract that same value from both sides.<\/p>\n\n\n\n

      However, before doing that, it’s helpful to convert the mixed numbers into improper fractions. Mixed numbers are numbers made up of a whole number and a fraction (like 3383\\frac{3}{8}). To convert to improper fractions, we multiply the whole number by the denominator and add the numerator. So, 3383\\frac{3}{8} becomes 278\\frac{27}{8} and 1561\\frac{5}{6} becomes 116\\frac{11}{6}.<\/p>\n\n\n\n

      With the equation now in fraction form (w+278=116w + \\frac{27}{8} = \\frac{11}{6}), we subtract 278\\frac{27}{8} from both sides. To do this, the two fractions must have the same denominator. The least common denominator of 6 and 8 is 24. After converting both fractions to have this denominator, we subtract: 4424\u22128124=\u22123724\\frac{44}{24} – \\frac{81}{24} = \\frac{-37}{24}.<\/p>\n\n\n\n

      This result is a negative improper fraction, which we then convert to a mixed number: \u221211324-1 \\frac{13}{24}. This means ww is a little more than \u22121-1 but less than 0, reflecting that the total on the right-hand side is less than what was added to ww.<\/p>\n\n\n\n

      Hence, the final answer is: w=\u221211324\\boxed{w = -1 \\frac{13}{24}}<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      solve the equation w + 3 3\/8 = 1 5\/6 The Correct Answer and Explanation is: Solution to the Equation We are given the equation: w+338=156w + 3\\frac{3}{8} = 1\\frac{5}{6} Step 1: Convert Mixed Numbers to Improper Fractions First, convert both mixed numbers to improper fractions: So the equation becomes: w+278=116w + \\frac{27}{8} = \\frac{11}{6} […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-226868","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226868","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=226868"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226868\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226868"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226868"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226868"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}