What is 2.4024 as a fraction?

Answer: 2.4024 as a fraction equals 24024/10000 or 3003/1250

Here is the solution for converting 2.4024 to a fraction:

Step 1:

First, we write 2.4024 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!

2.4024/1

  =  

2.4024 x 10000/1 x 10000

  =  

24024/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 24024 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 24024 are: 1  2  3  4  6  7  8  11  12  13  14  21  22  24  26  28  33  39  42  44  52  56  66  77  78  84  88  91  104  132  143  154  156  168  182  231  264  273  286  308  312  364  429  462  546  572  616  728  858  924  1001  1092  1144  1716  1848  2002  2184  3003  3432  4004  6006  8008  12012  24024 
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 24024 and 10000 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.

24024/10000

  =  

24024 ÷ 8/10000 ÷ 8

  =  

3003/1250

Good work! We have just walked through the steps on how to represent 2.4024 as a fraction.