What is 0.38304 as a fraction?

Answer: 0.38304 as a fraction equals 38304/100000 or 1197/3125

Here is the solution for converting 0.38304 to a fraction:

Step 1:

First, we write 0.38304 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!

0.38304/1

  =  

0.38304 x 100000/1 x 100000

  =  

38304/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 38304 are: 1  2  3  4  6  7  8  9  12  14  16  18  19  21  24  28  32  36  38  42  48  56  57  63  72  76  84  96  112  114  126  133  144  152  168  171  224  228  252  266  288  304  336  342  399  456  504  532  608  672  684  798  912  1008  1064  1197  1368  1596  1824  2016  2128  2394  2736  3192  4256  4788  5472  6384  9576  12768  19152  38304 
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 38304 and 100000 that gives us a GCF value of: 32

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.

38304/100000

  =  

38304 ÷ 32/100000 ÷ 32

  =  

1197/3125

Good work! We have just walked through the steps on how to represent 0.38304 as a fraction.