Yes.
All mixed numbers can be converted into improper fractions where there is one integer over another (non-zero) integer which is the form of a rational number.
3 1/4 = (3×4+1)/4 = 13/4
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Rational.
Yes 1/3 is a rational number because it can be expressed as a fraction
Yes because 1/3 times 0.5 = 1/6 which is a rational number
No. 3 = 3/1 which is of the form a/b (with a & b integers) which is a rational number
The rational number -4 can be expressed as -4/1 or -8/2 or -12/3, and so on.