A man loses $\frac{1}{3}$ of money in first round,$\frac{3}{5}$ of remaining in second,$\frac{4}{7}$ of remaining in third.Find the amount he is left with.

He was left with 16 / 105

I made an error...

1st round 1 - 1/3 = 2/3 (left)

2nd round [(2/3) / 5] * 2 = 4/15 (left)

3rd round [(4/15) / 7] * 3 = 12 / 105 (left)

after round one he has 1-1/3 = 2/3 left

after second round he has 2/3 - 3/5*2/3 = 2/3(1-3/5) = 2/3* 2/5 = 4/15

So what does he have after the next round?