{"id":15137,"date":"2025-06-09T07:20:30","date_gmt":"2025-06-09T07:20:30","guid":{"rendered":"https:\/\/yaveni.com\/blog\/?p=15137"},"modified":"2025-06-09T07:20:40","modified_gmt":"2025-06-09T07:20:40","slug":"what-is-half-of-7-3-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-half-of-7-3-4\/","title":{"rendered":"what is half of 7 3\/4"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">what is half of 7 3\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Half of <strong>7 3\/4<\/strong> is <strong>3 7\/8<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Explanation (with 300-word explanation):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To find half of 7 3\/4, we need to divide the number by 2. First, convert the mixed number into an improper fraction:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 1: Convert 7 3\/4 to an improper fraction.<\/strong><br>A mixed number combines a whole number and a fraction. To convert it: 734=(7\u00d74)+34=28+34=3147 \\frac{3}{4} = \\frac{(7 \\times 4) + 3}{4} = \\frac{28 + 3}{4} = \\frac{31}{4}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 2: Divide by 2.<\/strong><br>Dividing by 2 is the same as multiplying by 1\/2: 314\u00f72=314\u00d712=31\u00d714\u00d72=318\\frac{31}{4} \\div 2 = \\frac{31}{4} \\times \\frac{1}{2} = \\frac{31 \\times 1}{4 \\times 2} = \\frac{31}{8}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 3: Convert the improper fraction back to a mixed number.<\/strong> 318=3&nbsp;remainder&nbsp;7\u21d2378\\frac{31}{8} = 3 \\text{ remainder } 7 \\Rightarrow 3 \\frac{7}{8}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, half of 7 3\/4 is <strong>3 7\/8<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Method Works:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Dividing mixed numbers like 7 3\/4 requires accuracy. Converting to an improper fraction simplifies the operation. Once it&#8217;s in that form, multiplication or division becomes a matter of multiplying numerators and denominators.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Why divide by 2? Taking &#8220;half&#8221; means you&#8217;re equally splitting a quantity into two parts. So if you think of 7 3\/4 as a total quantity (like 7.75 gallons of water), dividing by 2 tells you how much is in each half.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Lastly, converting back to a mixed number helps visualize the answer more intuitively. Most people find &#8220;3 7\/8&#8221; easier to understand in practical terms than &#8220;31\/8.&#8221;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This approach works with any fraction or mixed number and is a fundamental skill in arithmetic.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>what is half of 7 3\/4 The correct answer and explanation is: Correct Answer: Half of 7 3\/4 is 3 7\/8. Step-by-Step Explanation (with 300-word explanation): To find half of 7 3\/4, we need to divide the number by 2. First, convert the mixed number into an improper fraction: Step 1: Convert 7 3\/4 to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-15137","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/15137","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=15137"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/15137\/revisions"}],"predecessor-version":[{"id":15138,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/15137\/revisions\/15138"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=15137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=15137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=15137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}