What is 3.80328 as a fraction?

Answer: 3.80328 as a fraction equals 380328/100000 or 47541/12500

Here is the solution for converting 3.80328 to a fraction:

Step 1:

First, we write 3.80328 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!

3.80328/1

  =  

3.80328 x 100000/1 x 100000

  =  

380328/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 380328 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 380328 are: 1  2  3  4  6  8  12  13  23  24  26  39  46  52  53  69  78  92  104  106  138  156  159  184  212  276  299  312  318  424  552  598  636  689  897  1196  1219  1272  1378  1794  2067  2392  2438  2756  3588  3657  4134  4876  5512  7176  7314  8268  9752  14628  15847  16536  29256  31694  47541  63388  95082  126776  190164  380328 
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 380328 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.

380328/100000

  =  

380328 ÷ 8/100000 ÷ 8

  =  

47541/12500

Good work! We have just walked through the steps on how to represent 3.80328 as a fraction.