which two choices are equivalent to the fraction below 2\/6 <\/p>\n\n\n\n
a. 1\/2 <\/p>\n\n\n\n
b. 1\/3 <\/p>\n\n\n\n
c. 4\/12 <\/p>\n\n\n\n
d. 3\/8<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The fraction given is 2\/6. To find equivalent fractions, the fraction must be simplified or compared to other fractions by cross-multiplying or finding a common denominator.<\/p>\n\n\n\n First, simplify 2\/6 by dividing both numerator and denominator by their greatest common divisor, which is 2:<\/p>\n\n\n\n 2 \u00f7 2 = 1 So, 2\/6 simplifies to 1\/3.<\/p>\n\n\n\n Now check the options:<\/p>\n\n\n\n a. 1\/2 Next, check if each fraction is equivalent to 2\/6 by cross-multiplying:<\/p>\n\n\n\n For 1\/2: For 1\/3: For 4\/12: For 3\/8: Therefore, the two fractions equivalent to 2\/6 are 1\/3 and 4\/12.<\/p>\n\n\n\n Equivalent fractions represent the same portion of a whole even though their numerators and denominators differ. Simplifying fractions helps to see this clearly by reducing the fraction to its simplest form. The fraction 2\/6 simplifies to 1\/3, so any fraction equal to 1\/3 will be equivalent to 2\/6. Another way to identify equivalent fractions is by multiplying or dividing both numerator and denominator of the fraction by the same nonzero number. For example, multiplying numerator and denominator of 1\/3 by 4 gives 4\/12, showing both fractions represent the same value. Checking equivalence through cross multiplication is a quick way to verify if two fractions are equal by comparing the products of numerator and denominator diagonally. This method avoids converting fractions to decimals or finding common denominators directly.<\/p>\n","protected":false},"excerpt":{"rendered":" which two choices are equivalent to the fraction below 2\/6 a. 1\/2 b. 1\/3 c. 4\/12 d. 3\/8 The correct answer and explanation is: The fraction given is 2\/6. To find equivalent fractions, the fraction must be simplified or compared to other fractions by cross-multiplying or finding a common denominator. First, simplify 2\/6 by dividing […]<\/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-42015","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42015","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=42015"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42015\/revisions"}],"predecessor-version":[{"id":42016,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42015\/revisions\/42016"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42015"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42015"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42015"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
6 \u00f7 2 = 3<\/p>\n\n\n\n
b. 1\/3
c. 4\/12
d. 3\/8<\/p>\n\n\n\n
2 \u00d7 1 = 2
6 \u00d7 2 = 12
Since 2 \u2260 12, 2\/6 \u2260 1\/2.<\/p>\n\n\n\n
2 \u00d7 3 = 6
6 \u00d7 1 = 6
Since both products are equal, 2\/6 = 1\/3.<\/p>\n\n\n\n
2 \u00d7 12 = 24
6 \u00d7 4 = 24
Since both products are equal, 2\/6 = 4\/12.<\/p>\n\n\n\n
2 \u00d7 8 = 16
6 \u00d7 3 = 18
Since 16 \u2260 18, 2\/6 \u2260 3\/8.<\/p>\n\n\n\n