What is 0.82104 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 0.82104 into a fraction.

Answer: 0.82104 as a fraction equals 82104/100000 or 10263/12500

Here is the solution for converting 0.82104 to a fraction:

Step 1:

First, we write 0.82104 as  
0.82104/1

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!
0.82104/1
  =  
0.82104 x 100000/1 x 100000
  =  
82104/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 82104 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82104 are: 1  2  3  4  6  8  11  12  22  24  33  44  66  88  132  264  311  622  933  1244  1866  2488  3421  3732  6842  7464  10263  13684  20526  27368  41052  82104 
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 82104 and 100000 that gives us a GCF value of: 8

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.
82104/100000
  =  
82104 ÷ 8/100000 ÷ 8
  =  
10263/12500


Good work! We have just walked through the steps on how to represent 0.82104 as a fraction.

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