Examples are: 1/4, 3/4, 7/8. 8/4 is not because 8/4 is 2 which is an integer. A non-integer rational number is a number that can be written as an exact fraction or as a terminating decimal. A non-integer has no digits to the right of the decimal point. Since -1.6 has one or more digits to the right of the decimal point, it is not an integer. Fractions are non-integers. ∏ (Pi) is also a non-integer.
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Some types of rational but noninteger numbers are fractions, negative fractions, decimals, any kind of percent, etc. Integers arepositive and negative whole numbers, like 24 or -6. A rational but noninteger example is 5% or -3/4.
Some examples are 1/3, -4/7, 5 3/4, -6.37
Some examples: 0, 3/5, -6, 0.23, -5
Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.
Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)