What is 0.82215 as a fraction?

Answer: 0.82215 as a fraction equals 82215/100000 or 16443/20000

Here is the solution for converting 0.82215 to a fraction:

Step 1:

First, we write 0.82215 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!

0.82215/1

  =  

0.82215 x 100000/1 x 100000

  =  

82215/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82215 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82215 are: 1  3  5  7  9  15  21  27  29  35  45  63  81  87  105  135  145  189  203  261  315  405  435  567  609  783  945  1015  1305  1827  2349  2835  3045  3915  5481  9135  11745  16443  27405  82215 
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 82215 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.

82215/100000

  =  

82215 ÷ 5/100000 ÷ 5

  =  

16443/20000

Good work! We have just walked through the steps on how to represent 0.82215 as a fraction.