Let the fraction be x, y and z respectively in decreasing order. Then, according to the question, x/z = 7/6 ⇒ x = 7z/6And y = 7/6 - 1/3 = 7-2/6 = 5/6 Now, x + y + z = 211/24 ⇒ 7z/6 + 5/6 + z = 59/24 ⇒ (13z + 5)/ 6 = 59/24 ⇒ 13z = 59/4 - 5 =39/4 ⇒ z = 3/4 ∴ x =7z/6 = 7/8 Hence, the fraction are 7/8, 5/6, 3/4.
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