What is 3.64122 as a fraction?

Answer: 3.64122 as a fraction equals 364122/100000 or 182061/50000

Here is the solution for converting 3.64122 to a fraction:

Step 1:

First, we write 3.64122 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!

3.64122/1

  =  

3.64122 x 100000/1 x 100000

  =  

364122/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 364122 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 364122 are: 1  2  3  6  9  11  18  22  27  33  54  66  99  198  297  594  613  1226  1839  3678  5517  6743  11034  13486  16551  20229  33102  40458  60687  121374  182061  364122 
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 364122 and 100000 that gives us a GCF value of: 2

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.

364122/100000

  =  

364122 ÷ 2/100000 ÷ 2

  =  

182061/50000

Good work! We have just walked through the steps on how to represent 3.64122 as a fraction.