Sum of three fractions is 2 11/24. If the greatest fraction is divided by the smallest fraction, the result is 7/6, which is greater than the middle fraction by 1/3. find all the three fractions ?

• A. 7/9, 2/3, 3/5
• B. 7/8, 7/9, 7/10
• C. 3/5, 4/7, 2/3
• D. 7/8, 5/6, 3/4

Answer: (D)

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.