2 1/3 + 1 6/7 first needs to be converted to the least common factor of the denominator, so the least common factor of 3 and 7 is 21. then you would multiply the top and the bottom by the number that multiplies with the denominator to get 21. The number to multiply to 3 would be multiplied by 7 to get 21 and vise versa, so for 2 1/3, 1 x 7 = 7 and 3 x 7 = 21 which makes 2 7/21. For 1 6/7, 6 x 3 = 18 and 7 x 3 = 21 which makes 1 18/21. 2 7/21 + 1 18/21 = 4 4/21 or, in improper form, 88/21
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6/7, six sevenths
two and two sevenths plus six and five sixths is 52.
11/21 (eleven over twenty-one)
1 46/70
-1/3 x -6/7 = 1 x 6 = 6 divided by 3 x 7= 21 or 6/21 divide both sides by 3 to reduce it = 2/7 and the sign is positive (SINCE TWO NEGATIVES multiplied = a positive) which kind of makes sense, right, if have 6 of these sevenths, and you want to have one third of them that means 6/2 = 3 or 3 sevenths is a third of six sevenths...