What is 1.2012 as a fraction?

Answer: 1.2012 as a fraction equals 12012/10000 or 3003/2500

Here is the solution for converting 1.2012 to a fraction:

Step 1:

First, we write 1.2012 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

1.2012/1

  =  

1.2012 x 10000/1 x 10000

  =  

12012/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12012 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 12012 are: 1  2  3  4  6  7  11  12  13  14  21  22  26  28  33  39  42  44  52  66  77  78  84  91  132  143  154  156  182  231  273  286  308  364  429  462  546  572  858  924  1001  1092  1716  2002  3003  4004  6006  12012 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 12012 and 10000 that gives us a GCF value of: 4

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

12012/10000

  =  

12012 ÷ 4/10000 ÷ 4

  =  

3003/2500

Good work! We have just walked through the steps on how to represent 1.2012 as a fraction.