Yes.
Any rational number divided by another rational number is also rational.
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Yes, 9/5 is rational. A rational number is any number that can be expressed in a fraction.
is 5 over 7 a rational number
41/9 is a rational number because all fractions are rational numbers
Yes it is.
Yes
Yes, an irrational number would be any number over zero, Pi(π), Tau(τ), etc.