Q: Is 7 over 9 a rational number?

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It would depend on where you put the parentheses. 7/9 - 9 is a rational number 7/(9-9) is not even a number at all - surely not a rational number.

Yes a rational number is one which can be represented by one integer over another (possibly the same) integer which cannot be zero. 1 2/7 = (1×7+2)/7 = 9/7 (as an improper fraction) 9/7 is one integer over another integer, so it is a rational number.

Rational

No because 9+7 = 16 which is a rational number

There are an infinitely many amount. An integer is a whole number, e.g. the number 7. A rational number is one that can be written as a fraction. 7 is a rational number, because it can be written as 7/1. But the number 7/9 is rational, but not an integer because it is not a whole number.

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It would depend on where you put the parentheses. 7/9 - 9 is a rational number 7/(9-9) is not even a number at all - surely not a rational number.

Yes a rational number is one which can be represented by one integer over another (possibly the same) integer which cannot be zero. 1 2/7 = (1×7+2)/7 = 9/7 (as an improper fraction) 9/7 is one integer over another integer, so it is a rational number.

Rational

Yes. Any rational number divided by another rational number is also rational.

41/9 is a rational number because all fractions are rational numbers

9/7 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

YES

No because 9+7 = 16 which is a rational number

There are an infinitely many amount. An integer is a whole number, e.g. the number 7. A rational number is one that can be written as a fraction. 7 is a rational number, because it can be written as 7/1. But the number 7/9 is rational, but not an integer because it is not a whole number.

Any addition, subtraction, multiplication, or division of rational numbers gives you a rational result. You can consider 8 over 9 as the division of 8 by 9, so the result is rational.

Yes

Yes.