What is 2.04516 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 2.04516 into a fraction.

Answer: 2.04516 as a fraction equals 204516/100000 or 51129/25000

Here is the solution for converting 2.04516 to a fraction:

Step 1:

First, we write 2.04516 as  
2.04516/1

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!
2.04516/1
  =  
2.04516 x 100000/1 x 100000
  =  
204516/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 204516 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 204516 are: 1  2  3  4  6  9  12  13  18  19  23  26  36  38  39  46  52  57  69  76  78  92  114  117  138  156  171  207  228  234  247  276  299  342  414  437  468  494  598  684  741  828  874  897  988  1196  1311  1482  1748  1794  2223  2622  2691  2964  3588  3933  4446  5244  5382  5681  7866  8892  10764  11362  15732  17043  22724  34086  51129  68172  102258  204516 
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 204516 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.
204516/100000
  =  
204516 ÷ 4/100000 ÷ 4
  =  
51129/25000


Good work! We have just walked through the steps on how to represent 2.04516 as a fraction.

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