Yes because it can be expressed as a fraction in the form of 13/3
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It is rational and also a whole number.
Yes.
Given any two integers, x and y, such that y is not 0, then x/y is a rational number. So for example, 3476/43 is a rational number.
It is not defined, so it is not a number of any kind.
0.43 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its rational equivalent is 43/100 which cannot be simplified.