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.
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A fraction can be larger than 1, for example, 4/2 is a fraction (which can be simplified to 2). Only a fraction that is larger than 1, multiplied by another number gives you a larger number.
2/3
In a proper fraction, the absolute value of the numerator must be smaller than the absolute value of the denominator.
1/2 is larger than 2/5
No.