Question

Sum of three fractions is 59/24. 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.​

Answer 1

Step-by-step explanation:

Let the fraction be x, y and z respectively in decreasing order.

Then, according to the question,

x/z = 7/6

⇒ x = 7z/6

And 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.

Answer 2

Answer:

hence the three numbers is 7/6 9/8 5/6