What is 1.22144 as a fraction?

Answer: 1.22144 as a fraction equals 122144/100000 or 3817/3125

Here is the solution for converting 1.22144 to a fraction:

Step 1:

First, we write 1.22144 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!

1.22144/1

  =  

1.22144 x 100000/1 x 100000

  =  

122144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 122144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 122144 are: 1  2  4  8  11  16  22  32  44  88  176  347  352  694  1388  2776  3817  5552  7634  11104  15268  30536  61072  122144 
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 122144 and 100000 that gives us a GCF value of: 32

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.

122144/100000

  =  

122144 ÷ 32/100000 ÷ 32

  =  

3817/3125

Good work! We have just walked through the steps on how to represent 1.22144 as a fraction.