`x-(2)/(3)=(8)/(3):(16)/(9)`
`x-(2)/(3)=(8)/(3)xx(9)/(16)`
`x-(2)/(3)=(8xx3xx3)/(3xx8xx2)`
`x-(2)/(3)=(3)/(2)`
`x=(3)/(2)+(2)/(3)=(9)/(6)+(4)/(6)`
`x=(13)/(6)`
x - 2/3 = 8/3 : 16/9
x - 2/3 = 8/3x9/16
x - 2/3 = 3/2
x = 3/2 +2/3
x = 10/6
x = 5/3
x - \(\dfrac{2}{3}=\dfrac{8}{3}\div\dfrac{16}{9}\)
x - \(\dfrac{2}{3}=\dfrac{72}{48}\)
x - \(\dfrac{2}{3}=\dfrac{3}{2}\)
x = \(\dfrac{3}{2}+\dfrac{2}{3}\)
x = \(\dfrac{9}{6}+\dfrac{4}{6}\)
x = \(\dfrac{9+4}{6}\)
x = \(\dfrac{13}{6}\)