What is 0.82194 as a fraction?

Answer: 0.82194 as a fraction equals 82194/100000 or 41097/50000

Here is the solution for converting 0.82194 to a fraction:

Step 1:

First, we write 0.82194 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!

0.82194/1

  =  

0.82194 x 100000/1 x 100000

  =  

82194/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82194 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82194 are: 1  2  3  6  7  14  19  21  38  42  57  103  114  133  206  266  309  399  618  721  798  1442  1957  2163  3914  4326  5871  11742  13699  27398  41097  82194 
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 82194 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.

82194/100000

  =  

82194 ÷ 2/100000 ÷ 2

  =  

41097/50000

Good work! We have just walked through the steps on how to represent 0.82194 as a fraction.