Repeating Decimals Repeating Decimals
Elementary+
English

In mathematics, a repeating decimal is a way of representing a rational number. A decimal representation of a number is called a repeating decimal if at some point there is some finite sequence of digits that is repeated infinitely. For example: the decimal representation of 1/3 = 0.3333333… or 0.(3) becomes periodic just after the decimal point, repeating the single-digit sequence "3" infinitely. ... .


Input: Two arguments. A numerator and a denominator as integers.

Output: The decimal representation of the fraction in the bracket format as a string.

Example:

convert(1, 3) == "0.(3)"
convert(5, 3) == "1.(6)"
convert(3, 8) == "0.375"
convert(7, 11) == "0.(63)"
convert(29, 12) == "2.41(6)"
convert(11, 7) == "1.(571428)"
convert(0, 117) == "0."
convert(4, 2) == "2."

How it is used: This is the important part for mathematical software. And of you need to help your children with homework.

Precondition:
0 ≤ numerator ≤ 1000
1 ≤ denominator ≤ 1000

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