Answer: 3/10 bucket will fill the barrel completely
Step-by-step explanation: If 1/5 of the bucket is 2/3 then we want to find 1/3 of 1/5 and multiply it by 3 to find the whole of the barrell 3/3 so 1/5 divided by 2 is 1/10 and multiplied by 3 is 3/10. In math form its 1/5=.2 so .2 divided by 2 is .1 and multiplied by 3 is .3 which also equals 3/10