What is 0.82212 as a fraction?

Answer: 0.82212 as a fraction equals 82212/100000 or 20553/25000

Here is the solution for converting 0.82212 to a fraction:

Step 1:

First, we write 0.82212 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!

0.82212/1

  =  

0.82212 x 100000/1 x 100000

  =  

82212/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82212 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82212 are: 1  2  3  4  6  12  13  17  26  31  34  39  51  52  62  68  78  93  102  124  156  186  204  221  372  403  442  527  663  806  884  1054  1209  1326  1581  1612  2108  2418  2652  3162  4836  6324  6851  13702  20553  27404  41106  82212 
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 82212 and 100000 that gives us a GCF value of: 4

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.

82212/100000

  =  

82212 ÷ 4/100000 ÷ 4

  =  

20553/25000

Good work! We have just walked through the steps on how to represent 0.82212 as a fraction.