What is 0.82225 as a fraction?

Answer: 0.82225 as a fraction equals 82225/100000 or 3289/4000

Here is the solution for converting 0.82225 to a fraction:

Step 1:

First, we write 0.82225 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!

0.82225/1

  =  

0.82225 x 100000/1 x 100000

  =  

82225/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82225 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82225 are: 1  5  11  13  23  25  55  65  115  143  253  275  299  325  575  715  1265  1495  3289  3575  6325  7475  16445  82225 
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 82225 and 100000 that gives us a GCF value of: 25

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.

82225/100000

  =  

82225 ÷ 25/100000 ÷ 25

  =  

3289/4000

Good work! We have just walked through the steps on how to represent 0.82225 as a fraction.