What is 0.21216 as a fraction?

Answer: 0.21216 as a fraction equals 21216/100000 or 663/3125

Here is the solution for converting 0.21216 to a fraction:

Step 1:

First, we write 0.21216 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!

0.21216/1

  =  

0.21216 x 100000/1 x 100000

  =  

21216/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21216 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 21216 are: 1  2  3  4  6  8  12  13  16  17  24  26  32  34  39  48  51  52  68  78  96  102  104  136  156  204  208  221  272  312  408  416  442  544  624  663  816  884  1248  1326  1632  1768  2652  3536  5304  7072  10608  21216 
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 21216 and 100000 that gives us a GCF value of: 32

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.

21216/100000

  =  

21216 ÷ 32/100000 ÷ 32

  =  

663/3125

Good work! We have just walked through the steps on how to represent 0.21216 as a fraction.