The fraction 1/7 has the decimal value 0.142857142857142857..... The six digits 142857 keep repeating.
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There are a handful of six digit numbers that have no numbers repeating. Some examples are 123456, 234567, 345678, 456789, 567012, 654321, 765432, 876543, and 987654.
The smallest fraction has the smallest numerator and the greatest denominator. If only two of the six numbers can be used then the smallest fraction is 1/6. If all numbers are used then the smallest fraction is 123/654.
There is only one type of rational number, namely the type that follow the definition precisely: A rational number is a number that can be written as a fraction of two (relatively prime) whole numbers a and b. A number is either rational or not rational. 123/67 is a rational number. Pi, or the square root of six, are irrational numbers. In decimal form, a rational number has a finite amount of decimals, or a repeating pattern of them. An irrational number has infinitely many non-repeating decimals.
0.857142 repeating
89.83333 repeating