\(-\dfrac{2}{9}+\dfrac{8}{15}+\dfrac{5}{3}-\dfrac{7}{9}+\dfrac{7}{15}\)
\(=-\dfrac{2}{9}-\dfrac{7}{9}+\dfrac{8}{15}+\dfrac{7}{15}+\dfrac{5}{3}\)
\(=-\dfrac{9}{9}+\dfrac{15}{15}+\dfrac{5}{3}\)
\(=-1+1+\dfrac{5}{3}\)
\(=0+\dfrac{5}{3}\)
\(=\dfrac{5}{3}\)
-2/9 + 8/15 + 5/3 - 7/9 + 7/15
= -2/9 - 7/9 + 8/15 + 7/15 + 5/3
= -9/9 + 15/15 + 5/3
= -1 + 1 + 5/3
= 0 + 5/3
=5/3