{"id":40982,"date":"2025-06-28T03:10:46","date_gmt":"2025-06-28T03:10:46","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=40982"},"modified":"2025-06-28T03:10:47","modified_gmt":"2025-06-28T03:10:47","slug":"find-the-equivalent-fraction-of-the-following-fraction-3-9-with-numerator-18","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-equivalent-fraction-of-the-following-fraction-3-9-with-numerator-18\/","title":{"rendered":"find the equivalent fraction of the following fraction 3\/9 with numerator 18"},"content":{"rendered":"\n

find the equivalent fraction of the following fraction 3\/9 with numerator 18<\/p>\n\n\n\n

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

The correct equivalent fraction of 3\/9<\/strong> with numerator 18<\/strong> is 18\/54<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To find an equivalent fraction with a specific numerator, follow these steps:<\/p>\n\n\n\n

Step 1: Understand Equivalent Fractions<\/strong><\/p>\n\n\n\n

Two fractions are equivalent when they represent the same part of a whole, even if their numerators and denominators are different. This happens when both the numerator and denominator of a fraction are multiplied or divided by the same nonzero number.<\/p>\n\n\n\n

Step 2: Original Fraction<\/strong><\/p>\n\n\n\n

The given fraction is: 39\\frac{3}{9}93\u200b<\/p>\n\n\n\n

We are asked to find an equivalent fraction that has a numerator of 18<\/strong>.<\/p>\n\n\n\n

Step 3: Find the Multiplier<\/strong><\/p>\n\n\n\n

To adjust the numerator from 3<\/strong> to 18<\/strong>, determine the factor you need to multiply by: 3\u00d7k=183 \\times k = 183\u00d7k=18<\/p>\n\n\n\n

Solve for k<\/strong>: k=183=6k = \\frac{18}{3} = 6k=318\u200b=6<\/p>\n\n\n\n

Step 4: Multiply Numerator and Denominator<\/strong><\/p>\n\n\n\n

Since we multiply the numerator by 6<\/strong>, we must multiply the denominator by the same factor to maintain equivalence: 3\u00d769\u00d76=1854\\frac{3 \\times 6}{9 \\times 6} = \\frac{18}{54}9\u00d763\u00d76\u200b=5418\u200b<\/p>\n\n\n\n

Thus, the equivalent fraction is: 1854\\frac{18}{54}5418\u200b<\/p>\n\n\n\n

Step 5: Confirm the Fractions are Equivalent<\/strong><\/p>\n\n\n\n

We can simplify 18\/54<\/strong> to confirm equivalence. Divide both numerator and denominator by their greatest common divisor, which is 18<\/strong>: 18\u00f71854\u00f718=13\\frac{18 \\div 18}{54 \\div 18} = \\frac{1}{3}54\u00f71818\u00f718\u200b=31\u200b<\/p>\n\n\n\n

Similarly, simplify 3\/9<\/strong>: 3\u00f739\u00f73=13\\frac{3 \\div 3}{9 \\div 3} = \\frac{1}{3}9\u00f733\u00f73\u200b=31\u200b<\/p>\n\n\n\n

Since both simplify to 1\/3<\/strong>, they are equivalent fractions.<\/p>\n\n\n\n

Conclusion<\/strong><\/p>\n\n\n\n

The equivalent fraction of 3\/9<\/strong> with numerator 18<\/strong> is 18\/54<\/strong>, and this confirms the fractions represent the same quantity.<\/p>\n\n\n\n

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

find the equivalent fraction of the following fraction 3\/9 with numerator 18 The Correct Answer and Explanation is: The correct equivalent fraction of 3\/9 with numerator 18 is 18\/54. Explanation: To find an equivalent fraction with a specific numerator, follow these steps: Step 1: Understand Equivalent Fractions Two fractions are equivalent when they represent the […]<\/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-40982","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40982","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=40982"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40982\/revisions"}],"predecessor-version":[{"id":40985,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40982\/revisions\/40985"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=40982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=40982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=40982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}