Look at this similar problem for help with this one https://www.quora.com/If-1-a-1-b-1-c-1-then-what-is-the-value-of-a-b-and-c
We can use the concept of Egyptian Fractions to solve this
6/7 divide 7/6 and take the ceiling of this result = 2
Take the reciprocal of this = 1/2
So
6/7 = 1/2 + remainder
6/7 - 1/2 = remainder
12/14 - 7/14 =
5/14 = remainder
divide 14/5 and take the ceiling of this = 3
Take the reciprocal of this =1/3
So
6/7 = 1/2 + 1/3 + remainder
6/7 = 5/6 + remainder
6/7 - 5/6 = remainder
36 / 42 - 35/42 = remainder
1/42 = remainder
So
6/7 = 1/2 + 1/3 + 1/42