Answer:
4/9
Explanation:
Davin initially bought 4kg of coffee. He used 1 out of 3 of the coffee for his birthday party, which is equivalent to (1/3) * 4kg = 4/3 kg of coffee.
After using 1 out of 3 coffee for the party, he had 4kg - 4/3 kg = 12/3 kg - 4/3 kg = 8/3 kg of coffee left.
Davin then gave 5 out of 6 of the remaining coffee to his uncle. Since the uncle received 5 out of 6 of the coffee, Davin kept 1 - 5/6 = 1/6 of the remaining coffee.
The amount of coffee Davin kept is (1/6) * (8/3) kg = 8/18 kg = 4/9 kg.
Therefore, Davin had 4/9 kg of coffee left after using 1 out of 3 for his birthday party and giving 5 out of 6 to his uncle.