Is 1/6 a rational number or a integer number

Explanation:

The integer numbers are not fractions. Integer numbers are the whole numbers (1, 2, 3, 4, 5, ...) which are positive, and their negatives (-1, -2, -3, -4, -5, ...). Zero is also included in the set of the integer numbers, so they are:

The fractions are rational numbers. Per definition a rational number is the ratio of two integer numbers.

The rational numbers include the integer numbers but is a bigger set, i.e. every integer number is a rational number but not every rational numbers are integer. So, 1/6 is an example of an rational number that is not an integer number.

Any fraction that can be simplified to an integer number is an integer (and also a rational number); any fraction that cannot be simplified to an integer is a rational number but not an integer.

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step-by-step explanation: