`8 2/17 + 13/15 + 1 15/17 + 3/19 + 8/23`
`= 8 + 2/17 + 13/15 + 1 + 15/17 + 3/19 + 8/23`
`= (8 + 1) + (2/17 + 13/15 + 15/17 + 3/19 + 8/23)`
`= 9 + (2/17 + 15/17) + (13/15 + 3/19 + 8/23)`
`= 9 + 1 + 8996/6555`
`= 10 + 8995/6555`
`= 65550/6555 + 8996/6555`
`= 74546/6555`