problem166

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166. Fraction to Recurring Decimal (Medium)

Given two integers representing the numerator and denominator of a fraction, return the fraction in string format.

If the fractional part is repeating, enclose the repeating part in parentheses.

Example 1:

Input: numerator = 1, denominator = 2
Output: "0.5"

Example 2:

Input: numerator = 2, denominator = 1
Output: "2"

Example 3:

Input: numerator = 2, denominator = 3
Output: "0.(6)"

Related Topics

[Hash Table] [Math]

Hints

Hint 1

No scary math, just apply elementary math knowledge. Still remember how to perform a long division?

Hint 2

Try a long division on 4/9, the repeating part is obvious. Now try 4/333. Do you see a pattern?

Hint 3

Notice that once the remainder starts repeating, so does the divided result.

Hint 4

Be wary of edge cases! List out as many test cases as you can think of and test your code thoroughly.