Yes, it is. It is larger by 1/6.
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No, 3 over 8 is larger
No. The two fractions have identical values.
The answer includes an infinite number of fractions, but the simple way to get a larger fraction is to increase the size of the numerator, or decrease the size of the denominator, so 3/7 is larger than 2/7, and 2/6 (which reduces to 1/3) is larger than 2/7.
2/3
3/5 is larger than 2/4