`3 1/2 - 4 2/3 + |3/4 - 2 1/3| - (5/6 - 7/4) + 5 1/2 - 3`
`= 7/2 - 14/3 + |3/4 - 7/3| - (5/6 - 7/4) + 1/2 - 3`
`= -7/6 + |3/4 - 7/3| - (5/6 - 7/4) + 1/2 - 3`
`= -7/6 + |19/12| - (5/6 - 7/4) + 1/2 - 3`
`= -7/6 + 19/12 - (5/6 - 7/4) + 1/2 - 3`
`= -7/6 + 19/12 + 11/12 + 1/2 - 3`
`= -7/6 + 5/2 + 1/2 - 3`
`= -7/6 + 3 - 3`
`= -7/6 + 0`
`= -7/6`