Yes, 5/2 is a rational number.
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Every time. The sum of two rational numbers MUST be a rational number.
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes, 2.33 is a rational number because it can be expressed as a fraction of two integers. In this case, 2.33 can be written as 233/100, which is the ratio of two integers. Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero.
A rational number
Yes, 0.62 is a rational number. A rational number can be written as the quotient of two integers. 0.62 can be written as 62/100, which can be simplified to 31/50.