Background

non is used to converting fractions into decimals, but in math they must write them as fractions and cannot convert them into decimals. Therefore, non turns to you, a programmer, to help convert decimals back to fractions.

Problem Description

Given a decimal, convert it into an improper fraction.

There are two types of decimals (we do not consider infinite non-repeating decimals):

1. Terminating decimal;
2. Repeating decimal (the repeating part is given and enclosed in ()).

Input Format

A decimal number $n$.

Output Format

Output the reduced improper fraction form of the decimal $n$.

1.32

33/25

1.(3)

4/3

1.0

1/1

Hint

The range of the input decimal is $0$ to $1000$, and the number of characters after the decimal point does not exceed $9$.
For $50\%$ of the testdata, there is no repeating part.

Translated by ChatGPT 5