What is 0.25872 as a fraction?

Answer: 0.25872 as a fraction equals 25872/100000 or 1617/6250

Here is the solution for converting 0.25872 to a fraction:

Step 1:

First, we write 0.25872 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!

0.25872/1

  =  

0.25872 x 100000/1 x 100000

  =  

25872/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 25872 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 25872 are: 1  2  3  4  6  7  8  11  12  14  16  21  22  24  28  33  42  44  48  49  56  66  77  84  88  98  112  132  147  154  168  176  196  231  264  294  308  336  392  462  528  539  588  616  784  924  1078  1176  1232  1617  1848  2156  2352  3234  3696  4312  6468  8624  12936  25872 
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 25872 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.

25872/100000

  =  

25872 ÷ 16/100000 ÷ 16

  =  

1617/6250

Good work! We have just walked through the steps on how to represent 0.25872 as a fraction.