Practice Mathematics with the exercise "Recurring decimal to fraction"

Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Mathematics

Statement

Goal

Convert any given recurring decimal to an irreducible fraction or an integer of equivalent amount.

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

Input

Line 1 : A positive float x for the recurring decimal to be converted.

Output

Case 1 : A string with numerator, space, symbol /, space and denominator if the result is an irreducible fraction.
Case 2 : Otherwise, an integer .

Constraints

The number is always positive.

Example

Input

0.333333333333333

Output

1 / 3

Solve it

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