What is 4.0404 as a fraction?

Answer: 4.0404 as a fraction equals 40404/10000 or 10101/2500

Here is the solution for converting 4.0404 to a fraction:

Step 1:

First, we write 4.0404 as  

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!

4.0404/1

  =  

4.0404 x 10000/1 x 10000

  =  

40404/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 40404 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 40404 are: 1  2  3  4  6  7  12  13  14  21  26  28  37  39  42  52  74  78  84  91  111  148  156  182  222  259  273  364  444  481  518  546  777  962  1036  1092  1443  1554  1924  2886  3108  3367  5772  6734  10101  13468  20202  40404 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 40404 and 10000 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.

40404/10000

  =  

40404 ÷ 4/10000 ÷ 4

  =  

10101/2500

Good work! We have just walked through the steps on how to represent 4.0404 as a fraction.