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How many fractions lie between 0 and 1? Think, discuss and write your answer?

How many fractions lie between $0$ and $1$? Think, discuss and write your answer?

There are infinite number of fractions between $0$ and $1$.
A fraction is of form $\frac{a}{b}$ and for a number lying between $0$ and $1$, the numerator has to be less than the denominator.