What is 1.26684 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 1.26684 into a fraction.

Answer: 1.26684 as a fraction equals 126684/100000 or 31671/25000

Here is the solution for converting 1.26684 to a fraction:

Step 1:

First, we write 1.26684 as  
1.26684/1

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!
1.26684/1
  =  
1.26684 x 100000/1 x 100000
  =  
126684/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 126684 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 126684 are: 1  2  3  4  6  9  12  17  18  23  27  34  36  46  51  54  68  69  81  92  102  108  138  153  162  204  207  276  306  324  391  414  459  612  621  782  828  918  1173  1242  1377  1564  1836  1863  2346  2484  2754  3519  3726  4692  5508  7038  7452  10557  14076  21114  31671  42228  63342  126684 
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 126684 and 100000 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.
126684/100000
  =  
126684 ÷ 4/100000 ÷ 4
  =  
31671/25000


Good work! We have just walked through the steps on how to represent 1.26684 as a fraction.

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