{"id":16334,"date":"2025-06-11T08:57:58","date_gmt":"2025-06-11T08:57:58","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=16334"},"modified":"2025-06-11T08:58:00","modified_gmt":"2025-06-11T08:58:00","slug":"what-is-2-divided-by-1-1-5-simplified","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-2-divided-by-1-1-5-simplified\/","title":{"rendered":"What is 2 divided by 1 1\/5 simplified"},"content":{"rendered":"\n<p>What is 2 divided by 1 1\/5 simplified<\/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>To solve:<br><strong>2 \u00f7 1 1\/5<\/strong>,<br>first convert the mixed number <strong>1 1\/5<\/strong> to an improper fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert Mixed Number to Improper Fraction<\/h3>\n\n\n\n<p>1 1\/5 = (1 \u00d7 5 + 1)\/5 = 6\/5<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Change the Division to Multiplication<\/h3>\n\n\n\n<p>When dividing by a fraction, multiply by the reciprocal (flip the fraction).<\/p>\n\n\n\n<p>So:<br><strong>2 \u00f7 6\/5 = 2 \u00d7 5\/6<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply the Fractions<\/h3>\n\n\n\n<p>Write 2 as a fraction:<br>2 = 2\/1<br>Now multiply:<br>(2\/1) \u00d7 (5\/6) = (2 \u00d7 5) \/ (1 \u00d7 6) = 10\/6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplify the Result<\/h3>\n\n\n\n<p>10\/6 can be simplified by dividing both the numerator and denominator by 2:<br>10 \u00f7 2 = 5<br>6 \u00f7 2 = 3<br>So:<br><strong>10\/6 = 5\/3<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Convert to Mixed Number (Optional)<\/h3>\n\n\n\n<p>5\/3 = 1 2\/3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer: <strong>5\/3<\/strong> or <strong>1 2\/3<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u270f\ufe0f Explanation (300 words)<\/h3>\n\n\n\n<p>When solving a problem like <strong>2 \u00f7 1 1\/5<\/strong>, it\u2019s important to remember how to handle mixed numbers and division with fractions. A <strong>mixed number<\/strong> like 1 1\/5 consists of a whole number (1) and a fraction (1\/5). To work with it in a division problem, we must convert it into an <strong>improper fraction<\/strong>. This step makes arithmetic easier because it removes the mix of whole and fractional parts.<\/p>\n\n\n\n<p>To convert 1 1\/5, multiply the whole number (1) by the denominator (5), which gives 5. Then add the numerator (1), resulting in 6. This makes 1 1\/5 equal to 6\/5.<\/p>\n\n\n\n<p>Next, divide 2 by this fraction. Division by a fraction is equivalent to multiplying by its <strong>reciprocal<\/strong>. The reciprocal of 6\/5 is 5\/6, so we multiply 2 by 5\/6 instead of dividing. Before multiplying, we rewrite 2 as a fraction: 2\/1. Now we multiply the numerators and denominators:<br>2 \u00d7 5 = 10, and 1 \u00d7 6 = 6, giving us 10\/6.<\/p>\n\n\n\n<p>We then simplify 10\/6. Both 10 and 6 can be divided by 2, so the fraction reduces to <strong>5\/3<\/strong>. As an improper fraction, 5\/3 means 1 whole and 2\/3 left over, or <strong>1 2\/3<\/strong> as a mixed number.<\/p>\n\n\n\n<p>This process shows the importance of understanding fraction operations. Being comfortable with converting between mixed and improper fractions, and knowing how to divide by a fraction, helps avoid common mistakes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is 2 divided by 1 1\/5 simplified The correct answer and explanation is: To solve:2 \u00f7 1 1\/5,first convert the mixed number 1 1\/5 to an improper fraction. Step 1: Convert Mixed Number to Improper Fraction 1 1\/5 = (1 \u00d7 5 + 1)\/5 = 6\/5 Step 2: Change the Division to Multiplication When [&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-16334","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16334","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=16334"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16334\/revisions"}],"predecessor-version":[{"id":16335,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16334\/revisions\/16335"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}