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A number x is said to be rational if it can be expressed as the ratio p/q where p and q are integers, and q is not 0. For each rational number there is an equivalent decimal representation which is either a terminating decimal or one that has an infinitely recurring pattern. A decimal number which is infinite but without any recurring pattern is an irrational number.

Thus rational numbers form a subset of decimal numbers.

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Q: What is the difference between decimal and rational number?
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