I thought we were finally agreeing fully! My understanding of the question is "what is the difference between a third (of a pizza, say) and a half?"

1/2 - 1/3 = 1/6
1/2 = 1/3 + 1/6
a half is one sixth more than a third.

btw, I fixed my Kagi screenshot since I'd missed a word from the question (reading comprehension's clearly not my strong point today)