defination of non integer rational number
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Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
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n/m where n is an integer not equal to 0 or m, and m is an interger not equal to 1 or 0. So n = 1, m = 2 gives you 1/2. p/q with p,q in integers and q>0 is a way to define the rationals.
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