The best description for the real number 4.6 recurring is: Rational, because it is a repeating decimal.
Since repeating decimals can be represented as a ratio of two integers, they are considered rational numbers. A decimal number that is recurring can be written in the form: a / b, having b not equal to zero so it is a rational number.
Divide the section of the pattern to be repeated by 9’s, in the following way: 6 / 9 = 0.6666666666 in order to represent any patter of repeating decimals.
Take note that the number of 9's in the denominator should be the same as the number of digits in the repeated block.