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Is the difference between two rational numbers always as rational number?

User DomBat
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Yes, the difference of rationals is always a rational.

Consider a/b - c/d, where a, b, c, d are integers with bd≠0.

The difference can be written as

... a/b - c/d = (ad - bc)/(bd)

where each product of integers is also an integer, hence this expression is rational.

User Ericj
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