What is 2.04792 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 2.04792 into a fraction.

Answer: 2.04792 as a fraction equals 204792/100000 or 25599/12500

Here is the solution for converting 2.04792 to a fraction:

Step 1:

First, we write 2.04792 as  
2.04792/1

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!
2.04792/1
  =  
2.04792 x 100000/1 x 100000
  =  
204792/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 204792 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 204792 are: 1  2  3  4  6  7  8  12  14  21  23  24  28  42  46  53  56  69  84  92  106  138  159  161  168  184  212  276  318  322  371  424  483  552  636  644  742  966  1113  1219  1272  1288  1484  1932  2226  2438  2968  3657  3864  4452  4876  7314  8533  8904  9752  14628  17066  25599  29256  34132  51198  68264  102396  204792 
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 204792 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.
204792/100000
  =  
204792 ÷ 8/100000 ÷ 8
  =  
25599/12500


Good work! We have just walked through the steps on how to represent 2.04792 as a fraction.

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