Between them, three brothers -Michael, Daniel and Nicholas - eat 2/3 of a pie. If Michael eats 1/4 the amount eaten and Daniel eats 1/5 of what Nicholas eats, what fraction of the pie does Nicholas eat?

Can someone start me off in the right direction. What I have to start is (1/4)(2/3)-(1/5)(1/4)(2/3)-x=0. This is clearly not the correct equation. What am I doing wrong?

Or, to simplify, Daniel and Nicholas ate half the pie. So if Daniel ate 1/5 of what Nicholas ate, Daniel ate 1/6 of the pie and Nicholas ate 5/6. As others have already said.