I need help with this math (fractions) problem?

Question

Find the next three numbers (in reduced fraction form)of the sequence:

4 5/6, 6 1/6,7 1/2,8 5/6...

Can you please give me the answer and a simple way how to solve it because I have more questions like this...Thanks alot!

Answer 1

Multiplied by 6 (same number so that the results are integer)

4 5/6 x 6 = 29

6 1/6 x 6 = 37

7 1/2 x 6 = 45

8 5/6 x 6 = 53

Find the difference

37 - 29 = 8

.........

each number is the sum of the number before and 8/6 (divide the difference)

10 1/6, 11 1/2, 12 5/6

Answer 2

difference between each number is 8/6

so, the next 3 numbers should be 10 1/6, 11 1/2, 12 5/6

Answer 3

subtract 7 1/2 from 8 5/6 and add it to 8 5/6.  Your numbers are increasing by 1 1/3.  

Your answer would be 10 1/6