Yes.
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Yes, negative numbers can be in a fraction. Fractions can have negative numerators or negative denominators, or both. For example, -1/2, 3/-4, and -5/-7 are fractions that include negative numbers.
In the same way that you would answer a fraction subtract another fraction. The result could be either positive or negative, just as is the case with negative whole numbers.
Yes.
12.04 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
-010010001(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Since fractions can also be negative numbers, we cannot necessarily say whether a negative number or a fraction is greater, however, any positive fraction is greater than any negative number.