What is 1.02256 as a fraction?

Answer: 1.02256 as a fraction equals 102256/100000 or 6391/6250

Here is the solution for converting 1.02256 to a fraction:

Step 1:

First, we write 1.02256 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!

1.02256/1

  =  

1.02256 x 100000/1 x 100000

  =  

102256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 102256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 102256 are: 1  2  4  7  8  11  14  16  22  28  44  56  77  83  88  112  154  166  176  308  332  581  616  664  913  1162  1232  1328  1826  2324  3652  4648  6391  7304  9296  12782  14608  25564  51128  102256 
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 102256 and 100000 that gives us a GCF value of: 16

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.

102256/100000

  =  

102256 ÷ 16/100000 ÷ 16

  =  

6391/6250

Good work! We have just walked through the steps on how to represent 1.02256 as a fraction.