What is 0.38115 as a fraction?

Answer: 0.38115 as a fraction equals 38115/100000 or 7623/20000

Here is the solution for converting 0.38115 to a fraction:

Step 1:

First, we write 0.38115 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!

0.38115/1

  =  

0.38115 x 100000/1 x 100000

  =  

38115/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38115 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 38115 are: 1  3  5  7  9  11  15  21  33  35  45  55  63  77  99  105  121  165  231  315  363  385  495  605  693  847  1089  1155  1815  2541  3465  4235  5445  7623  12705  38115 
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 38115 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.

38115/100000

  =  

38115 ÷ 5/100000 ÷ 5

  =  

7623/20000

Good work! We have just walked through the steps on how to represent 0.38115 as a fraction.