SOLUTION: how would you find where 7/12s would go in between? 2/6 and 26/48 3/6 and 30/48 28/48 and 4/6 or 28/48 and 5/6

Algebra ->  Number-Line -> SOLUTION: how would you find where 7/12s would go in between? 2/6 and 26/48 3/6 and 30/48 28/48 and 4/6 or 28/48 and 5/6      Log On


   

Question 656422: how would you find where 7/12s would go in between?
2/6 and 26/48
3/6 and 30/48
28/48 and 4/6
or
28/48 and 5/6
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Find the lowest common multiple, which is 48 and establish the equivalent for every fraction. Then you can make comparisons.
...
%287%2F12%29%284%2F4%29+=+28%2F48
%282%2F6%29%288%2F8%29+=+16%2F48
%283%2F6%29%288%2F8%29+=+18%2F48
%284%2F6%29%288%2F8%29+=+32%2F48
%285%2F6%29%288%2F8%29+=+40%2F48
...
In order...
%2816%2F48%29+%3C+%2818%2F48%29+%3C+%2828%2F48%29+%3C+%2832%2F48%29+%3C+%2840%2F48%29
Translating back into the simplified fractions
%282%2F6%29+%3C+%283%2F6%29+%3C+%287%2F12%29+%3C+%284%2F6%29+%3C+%285%2F6%29
...
Option 1: Fails as 7%2F12 is greater than 26%2F48
Option 2: Matches
Option 3&4: Fail as 7%2F12 is 28%2F48 and therefore cannot be "between" it and anything else.
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