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g0501_0600.s0592_fraction_addition_and_subtraction.readme.md Maven / Gradle / Ivy

592\. Fraction Addition and Subtraction

Medium

Given a string `expression` representing an expression of fraction addition and subtraction, return the calculation result in string format.

The final result should be an [irreducible fraction](https://en.wikipedia.org/wiki/Irreducible_fraction). If your final result is an integer, change it to the format of a fraction that has a denominator `1`. So in this case, `2` should be converted to `2/1`.

**Example 1:**

**Input:** expression = "-1/2+1/2"

**Output:** "0/1" 

**Example 2:**

**Input:** expression = "-1/2+1/2+1/3"

**Output:** "1/3" 

**Example 3:**

**Input:** expression = "1/3-1/2"

**Output:** "-1/6" 

**Constraints:**

*   The input string only contains `'0'` to `'9'`, `'/'`, `'+'` and `'-'`. So does the output.
*   Each fraction (input and output) has the format `±numerator/denominator`. If the first input fraction or the output is positive, then `'+'` will be omitted.
*   The input only contains valid **irreducible fractions**, where the **numerator** and **denominator** of each fraction will always be in the range `[1, 10]`. If the denominator is `1`, it means this fraction is actually an integer in a fraction format defined above.
*   The number of given fractions will be in the range `[1, 10]`.
*   The numerator and denominator of the **final result** are guaranteed to be valid and in the range of **32-bit** int.