What is 0.38136 as a fraction?

Answer: 0.38136 as a fraction equals 38136/100000 or 4767/12500

Here is the solution for converting 0.38136 to a fraction:

Step 1:

First, we write 0.38136 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!

0.38136/1

  =  

0.38136 x 100000/1 x 100000

  =  

38136/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38136 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 38136 are: 1  2  3  4  6  7  8  12  14  21  24  28  42  56  84  168  227  454  681  908  1362  1589  1816  2724  3178  4767  5448  6356  9534  12712  19068  38136 
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 38136 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.

38136/100000

  =  

38136 ÷ 8/100000 ÷ 8

  =  

4767/12500

Good work! We have just walked through the steps on how to represent 0.38136 as a fraction.