What is 3.20328 as a fraction?

Answer: 3.20328 as a fraction equals 320328/100000 or 40041/12500

Here is the solution for converting 3.20328 to a fraction:

Step 1:

First, we write 3.20328 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!

3.20328/1

  =  

3.20328 x 100000/1 x 100000

  =  

320328/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 320328 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 320328 are: 1  2  3  4  6  8  9  12  18  24  27  36  54  72  108  216  1483  2966  4449  5932  8898  11864  13347  17796  26694  35592  40041  53388  80082  106776  160164  320328 
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 320328 and 100000 that gives us a GCF value of: 8

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.

320328/100000

  =  

320328 ÷ 8/100000 ÷ 8

  =  

40041/12500

Good work! We have just walked through the steps on how to represent 3.20328 as a fraction.