\(=6-\dfrac{2}{3}+\dfrac{1}{2}-5-\dfrac{5}{3}+\dfrac{3}{2}+3-\dfrac{7}{3}-\dfrac{5}{2}\)
\(=4-\dfrac{14}{3}-\dfrac{1}{2}\)
=24/6-28/6-3/6=-7/6
\(\left(6-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(5+\dfrac{5}{3}-\dfrac{3}{2}\right)+\left(3-\dfrac{7}{3}-\dfrac{5}{2}\right)\)
\(=\left(\dfrac{36}{6}-\dfrac{4}{6}+\dfrac{3}{6}\right)-\left(\dfrac{30}{6}+\dfrac{10}{6}-\dfrac{9}{6}\right)+\left(\dfrac{18}{6}-\dfrac{14}{6}-\dfrac{15}{6}\right)\)
\(=\dfrac{35}{6}-\dfrac{31}{6}+\left(-\dfrac{11}{6}\right)\)
\(=\dfrac{35-31-11}{6}\)
\(=-\dfrac{7}{6}\)
`(6-2/3+1/2) - (5+5/3-3/2) + (3-7/3-5/2)`
`=6 - 2/3 + 1/2 - 5 - 5/3 + 3/2 + 3 - 7/3 - 5/2`
`=(6 - 5 + 3) + ( -2/3 -5/3 - 7/3) + ( 1/2 + 3/2 - 5/2)`
`=4 - 14/3 - 1/2`
`=24/6 - 28/6 - 3/6`
`=(24-28-3)/6`
`=-7/6`
