What is 3.05325 as a fraction?

Answer: 3.05325 as a fraction equals 305325/100000 or 12213/4000

Here is the solution for converting 3.05325 to a fraction:

Step 1:

First, we write 3.05325 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!

3.05325/1

  =  

3.05325 x 100000/1 x 100000

  =  

305325/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 305325 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 305325 are: 1  3  5  9  15  23  25  45  59  69  75  115  177  207  225  295  345  531  575  885  1035  1357  1475  1725  2655  4071  4425  5175  6785  12213  13275  20355  33925  61065  101775  305325 
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 305325 and 100000 that gives us a GCF value of: 25

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.

305325/100000

  =  

305325 ÷ 25/100000 ÷ 25

  =  

12213/4000

Good work! We have just walked through the steps on how to represent 3.05325 as a fraction.