What is 0.30855 as a fraction?

Answer: 0.30855 as a fraction equals 30855/100000 or 6171/20000

Here is the solution for converting 0.30855 to a fraction:

Step 1:

First, we write 0.30855 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!

0.30855/1

  =  

0.30855 x 100000/1 x 100000

  =  

30855/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 30855 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 30855 are: 1  3  5  11  15  17  33  51  55  85  121  165  187  255  363  561  605  935  1815  2057  2805  6171  10285  30855 
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 30855 and 100000 that gives us a GCF value of: 5

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.

30855/100000

  =  

30855 ÷ 5/100000 ÷ 5

  =  

6171/20000

Good work! We have just walked through the steps on how to represent 0.30855 as a fraction.