What is 1.04104 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 1.04104 into a fraction.

Answer: 1.04104 as a fraction equals 104104/100000 or 13013/12500

Here is the solution for converting 1.04104 to a fraction:

Step 1:

First, we write 1.04104 as  
1.04104/1

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!
1.04104/1
  =  
1.04104 x 100000/1 x 100000
  =  
104104/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 104104 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 104104 are: 1  2  4  7  8  11  13  14  22  26  28  44  52  56  77  88  91  104  143  154  169  182  286  308  338  364  572  616  676  728  1001  1144  1183  1352  1859  2002  2366  3718  4004  4732  7436  8008  9464  13013  14872  26026  52052  104104 
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 104104 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.
104104/100000
  =  
104104 ÷ 8/100000 ÷ 8
  =  
13013/12500


Good work! We have just walked through the steps on how to represent 1.04104 as a fraction.

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