What is 0.81872 as a fraction?

Answer: 0.81872 as a fraction equals 81872/100000 or 5117/6250

Here is the solution for converting 0.81872 to a fraction:

Step 1:

First, we write 0.81872 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!

0.81872/1

  =  

0.81872 x 100000/1 x 100000

  =  

81872/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 81872 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 81872 are: 1  2  4  7  8  14  16  17  28  34  43  56  68  86  112  119  136  172  238  272  301  344  476  602  688  731  952  1204  1462  1904  2408  2924  4816  5117  5848  10234  11696  20468  40936  81872 
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 81872 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.

81872/100000

  =  

81872 ÷ 16/100000 ÷ 16

  =  

5117/6250

Good work! We have just walked through the steps on how to represent 0.81872 as a fraction.