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Yes, an number that can be written as a ratio of integers is rational.

.7 is 7/10

.71 is 71/100

.714 is 714/1000

.7142 is 7142/10000

etc.

Can you see how .7142857 must be rational?

However, if you allow the 7 at the end to repeat, then that changes things.

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Q: Is .7142857 a rational number
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