No. 3/(1/7) is a rational number. However, (1/7) cannot be used as an integer. Incidentally, the number equals 21.
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A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers.
3.14 is rational. However, it is often used as an approximation for pi, which is irrational.
112 is an integer and not a fraction. However, it can be expressed in rational form as 112/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.
Every fraction is a rational number, but not every rational number is a fraction.A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).*A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.Both 22/7 and 1/3 are fractions, therefore they are both rational numbers. They also are repeating decimals, as 22/7 = 3.142857142857142857... (notice that the 142857 repeats) and as 1/3 = .333...An irrational number, on the other hand, neither terminates nor repeats.(The confusion about 22/7 may come because that fraction is often used to represent the number pi. It is not the number pi, just an approximation. The number pi is a decimal that begins 3.1415... and continues on without terminating or repeating. )But even though every fraction is a rational number, not every rational number is a fraction. Basically because rational numbers do not have to express a part of a whole. It can express a whole, as in an integer. And an integer is not a fraction.
If a non-zero rational number, in its simplest form, has a denominator with any factor other than 2 or 5, the ratio cannot be represented by a terminating decimal. So, repeating decimals are used to represent the vast majority of rational numbers.