When you convert the fractions into decimals, you get .8 and .6666666... for 4/5 and 2/3, respectively. Since .8>.66666... 4/5 is greater than 2/3.
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Four sixths is bigger. Since if you simplify four sixths is equivalent to two thirds. So two thirds is bigger than two fifths, just like one half is bigger than two thirds.
Two thirds is not larger than four fifths. It's almost 17% smaller.
the four fifths is better
2/3 is greater than 1/5
two fifths is less than four sixths