Paul takes 1/2, so 1/2 remains. Han takes 3/4 of the remainder, and Nick takes 1/5 of what is left after Han.<br><br>[[model:questions/solutions/q4373.png]]<br><br>• Paul → 1/2 of whole = 20/40<br>• Remainder → 1 − 1/2 = 1/2 = 20/40<br>• Han → 3/4 × 1/2 = 3/8 = 15/40<br>• After Han → 1/2 − 3/8 = 4/8 − 3/8 = 1/8 = 5/40<br>• Nick → 1/5 × 1/8 = 1/40<br><br>Lionel gave 1/40 of the marbles to Nick.<br>Check: Paul 20/40 + Han 15/40 + Nick 1/40 + Kept 4/40 = 40/40 = 1. ✓