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# Fraction to Recurring Decimal LeetCode Solution

## Problem – Fraction to Recurring Decimal

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.

If multiple answers are possible, return any of them.

It is guaranteed that the length of the answer string is less than `104` for all the given inputs.

Example 1:

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

Example 2:

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

Example 3:

``````Input: numerator = 4, denominator = 333
Output: "0.(012)"``````

Constraints:

• `-231 <= numerator, denominator <= 231 - 1`
• `denominator != 0`

### Fraction to Recurring Decimal LeetCode Solution in Java

``````public class Solution {
public String fractionToDecimal(int numerator, int denominator) {
if (numerator == 0) {
return "0";
}
StringBuilder res = new StringBuilder();
// "+" or "-"
res.append(((numerator > 0) ^ (denominator > 0)) ? "-" : "");
long num = Math.abs((long)numerator);
long den = Math.abs((long)denominator);

// integral part
res.append(num / den);
num %= den;
if (num == 0) {
return res.toString();
}

// fractional part
res.append(".");
HashMap<Long, Integer> map = new HashMap<Long, Integer>();
map.put(num, res.length());
while (num != 0) {
num *= 10;
res.append(num / den);
num %= den;
if (map.containsKey(num)) {
int index = map.get(num);
res.insert(index, "(");
res.append(")");
break;
}
else {
map.put(num, res.length());
}
}
return res.toString();
}
}
``````

### Fraction to Recurring Decimal LeetCode Solution in C++

``````class Solution {
public:
string fractionToDecimal(int numerator, int denominator) {
if (!numerator) {
return "0";
}
string ans;
if (numerator > 0 ^ denominator > 0) {
ans += '-';
}
long n = labs(numerator), d = labs(denominator), r = n % d;
ans += to_string(n / d);
if (!r) {
return ans;
}
ans += '.';
unordered_map<long, int> rs;
while (r) {
if (rs.find(r) != rs.end()) {
ans.insert(rs[r], "(");
ans += ')';
break;
}
rs[r] = ans.size();
r *= 10;
ans += to_string(r / d);
r %= d;
}
return ans;
}
};
``````

### Fraction to Recurring Decimal LeetCode Solution in Python

``````class Solution:
# @return a string
def fractionToDecimal(self, numerator, denominator):
n, remainder = divmod(abs(numerator), abs(denominator))
sign = '-' if numerator*denominator < 0 else ''
result = [sign+str(n), '.']
stack = []
while remainder not in stack:
stack.append(remainder)
n, remainder = divmod(remainder*10, abs(denominator))
result.append(str(n))

idx = stack.index(remainder)
result.insert(idx+2, '(')
result.append(')')
return ''.join(result).replace('(0)', '').rstrip('.')``````
##### Fraction to Recurring Decimal LeetCode Solution Review:

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