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2

# Convert Decimal To Irreducible Fraction

Difficulty: EASY
Contributed By
Avg. time to solve
25 min
Success Rate
75%

Problem Statement

#### A fraction is called irreducible when the greatest common divisor (GCD/HCF) of the numerator and denominator is one.

##### Example :
``````Given 'NUM' : 1.75
Irreducible fraction  can be represented as 7/4.

Note that 14/8 = 1.75 as well, but 14/8 is not an irreducible fraction.
``````
##### Note :
``````In order to preserve precision, the real number will be given to you in the form of two strings : the integer part, and the fractional part.

The integer part will contain not more than 8 digits, whereas the fractional part will always contain 8 digits.
``````
##### Input Format :
``````The first input line contains an integer 'T', the number of test cases.
Then 'T' test cases follow.

For each test case, the only input line contains a real number 'NUM', in the form of two single space-separated strings: the integer part and the fractional part.
``````
##### Output Format :
``````The output for each test case contains two single space-separated integers 'A' and 'B', the numerator and denominator of the irreducible fraction representing 'NUM' respectively.

The output for each test case will be printed in a separate line.
``````
##### Note :
``````You don't need to print anything. It has already been taken care of, just implement the given function.
``````
##### Constraints :
``````1 <= T <= 10^5
0 < NUM < 10^8

Time Limit : 1 sec
``````
##### Sample Input 1 :
``````2
1 75000000
20 20000000
``````

#### Sample Output 1 :

``````7 4
101 5
``````
##### Explanation For Sample Input 1 :
``````Test case 1 :
7/4 = 1.75

Test case 2 :
101/5 = 20.2
202/10 is also equal to 20.2 but it is not an irreducible fraction.
``````
##### Sample Input 2 :
``````2
0 36000000
0 00000001
``````

#### Sample Output 2 :

``````9 25
1 100000000
``````
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