What is 1.26126 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 1.26126 into a fraction.

Answer: 1.26126 as a fraction equals 126126/100000 or 63063/50000

Here is the solution for converting 1.26126 to a fraction:

Step 1:

First, we write 1.26126 as  
1.26126/1

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!
1.26126/1
  =  
1.26126 x 100000/1 x 100000
  =  
126126/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 126126 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 126126 are: 1  2  3  6  7  9  11  13  14  18  21  22  26  33  39  42  49  63  66  77  78  91  98  99  117  126  143  147  154  182  198  231  234  273  286  294  429  441  462  539  546  637  693  819  858  882  1001  1078  1274  1287  1386  1617  1638  1911  2002  2574  3003  3234  3822  4851  5733  6006  7007  9009  9702  11466  14014  18018  21021  42042  63063  126126 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 126126 and 100000 that gives us a GCF value of: 2

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.
126126/100000
  =  
126126 ÷ 2/100000 ÷ 2
  =  
63063/50000


Good work! We have just walked through the steps on how to represent 1.26126 as a fraction.

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