No, it is not. It is not greater THAN 2/5 either.
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2/5 = 4/10 so it is bigger than 3/10.
1 over 2 is = 1/2 which is 50% 2 over 3 is = 2/3 which is 66.6<- repeating bar % 2/3 is greater.
Make the lower number the same so 2/3 x 5/5 = 10/15 and 2/5 x 3/3 = 6/15 so 10 is greater than 6 so 2/3 is greater than 2/5 Alternatively if someone were offered the choice of a share of say $15 then 15 x 2/3 = 30/3 = 10 and 15 x 2/5 = 30/5 = 6 so they would choose 2/3 as $10 is preferable to $6
3/4 is greater than 7/10 3/4 = 0.75 7/10 = 0.70
4/5 = .8 2/3 = .667 4/5 is greater than 2/3.