What is 0.14364 as a fraction?

Answer: 0.14364 as a fraction equals 14364/100000 or 3591/25000

Here is the solution for converting 0.14364 to a fraction:

Step 1:

First, we write 0.14364 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!

0.14364/1

  =  

0.14364 x 100000/1 x 100000

  =  

14364/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 14364 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 14364 are: 1  2  3  4  6  7  9  12  14  18  19  21  27  28  36  38  42  54  57  63  76  84  108  114  126  133  171  189  228  252  266  342  378  399  513  532  684  756  798  1026  1197  1596  2052  2394  3591  4788  7182  14364 
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 14364 and 100000 that gives us a GCF value of: 4

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.

14364/100000

  =  

14364 ÷ 4/100000 ÷ 4

  =  

3591/25000

Good work! We have just walked through the steps on how to represent 0.14364 as a fraction.