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# What is a rational number that is not an integer?

A rational number can be defined as any number that can be expressed or written in the** **p/q form, where 'p' and 'q' are integers and q is a non-zero number.

## Answer: A rational number that is not an integer can be expressed in decimal form with a non-zero digit after the decimal.

Integers are set of numbers which are expressed as: .......-3, -2, -1, 0, 1, 2, 3.....

## Explanation:

Integers can be expressed as rational numbers such as -3/1, -6/2

But rational numbers like -5/3, 8/11, 2/5, etc. are not integers as they don't simplify to give us a whole number (including negatives of the whole numbers).

⇒ All integers are rational numbers but all rational numbers are not integers.

### Thus, all integers are rational numbers but all rational numbers are not integers. Therefore, a rational number that is not an integer can be expressed in decimal form with a non-zero digit after the decimal.

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