A full turn is also a 360 degrees turn.
Two thirds is [tex]\frac { 2 }{ 3 } [/tex]
To find two thirds of 360 we'll multiply it by [tex]\frac { 2 }{ 3 } [/tex]
[tex]360\cdot \frac { 2 }{ 3 } \quad =\quad \frac { 360\cdot 2 }{ 3 } \quad =\quad \frac { 720 }{ 3 } \quad =\quad 240[/tex]
Two thirds of a full turn ( [tex]{ 360 }^{ o }[/tex] ) is:
[tex]\boxed { { 240 }^{ o } } [/tex] degrees.