A rational number is any number that can also be expressed as a fraction.
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Yes, 0.3 is a rational, for it can be written as a fraction. By definition, rational numbers are any numbers that can written as a fraction.
There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
a fraction is the representation of a number as the quotient of two integers. all rational numbers can be written as a fraction, and all fractions represent rational numbers.
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The formal definition of rational numbers is: Any fractionwith whole numbers on top and bottom.