They are: 3.008 3.09 3.18 and 3.825
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310
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0.0032
Oh, dude, like, totally! A rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers, and 3.09 fits the bill. You can write it as 309/100, which is totally rational, man. So yeah, 3.09 is indeed a rational number.
A recurring decimal can always be converted to a fraction with integer numerator and denominator, and that is precisely the definition of a rational number. Example: let the recurring number be 0.3121212... Call the number "x" 100x = 31.21212... x = 0.31212... Subtract the two equations: 99x = 30.9 990x = 309 x = 309/990 This can be simplified, but the point is that I converted the recurring decimal to a fraction, with integer numerator and denominator.