There are an infinite number of them. Any number that you can write on paper
that lies between -1 and 2 is rational and satisfies the criteria in your question.
A few of them are
-0.9
-0.71828
-0.001002003004005
0.3
0.7
0.99
1.99
1.999
1.9999
1.99999
.
.
etc.
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There are an infinite number of rational numbers between any two rational numbers.
All the fractions between 0 and 1 are rational numbers
No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 ¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.
Rational numbers are infinitely dense and that means that there are infiitely many rational numbers between any two numbers.
A finite set of rational numbers.