What is 0.19824 as a fraction?

Answer: 0.19824 as a fraction equals 19824/100000 or 1239/6250

Here is the solution for converting 0.19824 to a fraction:

Step 1:

First, we write 0.19824 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!

0.19824/1

  =  

0.19824 x 100000/1 x 100000

  =  

19824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 19824 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 19824 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  42  48  56  59  84  112  118  168  177  236  336  354  413  472  708  826  944  1239  1416  1652  2478  2832  3304  4956  6608  9912  19824 
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 19824 and 100000 that gives us a GCF value of: 16

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.

19824/100000

  =  

19824 ÷ 16/100000 ÷ 16

  =  

1239/6250

Good work! We have just walked through the steps on how to represent 0.19824 as a fraction.