What is 2.12205 as a fraction?

Answer: 2.12205 as a fraction equals 212205/100000 or 42441/20000

Here is the solution for converting 2.12205 to a fraction:

Step 1:

First, we write 2.12205 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!

2.12205/1

  =  

2.12205 x 100000/1 x 100000

  =  

212205/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 212205 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 212205 are: 1  3  5  7  15  21  35  43  47  105  129  141  215  235  301  329  645  705  903  987  1505  1645  2021  4515  4935  6063  10105  14147  30315  42441  70735  212205 
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 212205 and 100000 that gives us a GCF value of: 5

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.

212205/100000

  =  

212205 ÷ 5/100000 ÷ 5

  =  

42441/20000

Good work! We have just walked through the steps on how to represent 2.12205 as a fraction.