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Using standard algebraic notation, the question and answer can be broken down as follows, with each line showing a separate step in the problem (n.b., the multiplication sign is shown as an asterisk (*) to avoid confusing the normal 'x' notation with '+'; computer programmers and languages use the asterisk as a standard convention when multiplication): [this is from the question] 3 7/9 + 8 5/6 = [simplify the fractions] ((3 * 9) + 7) / 9 + ((8 * 6) + 5) / 6 = 36/9 + 53/6 = [use the lowest common denominator

(i.e., 18 is the lowest common multiple of both 6 and 9)] ((36/9) * 2/2) + ((53/6) * 3/3) = 72/18 + 159/18 = 231 / 18 = [reduce the result] 12 11/18

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