What is 0.13644 as a fraction?

Answer: 0.13644 as a fraction equals 13644/100000 or 3411/25000

Here is the solution for converting 0.13644 to a fraction:

Step 1:

First, we write 0.13644 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!

0.13644/1

  =  

0.13644 x 100000/1 x 100000

  =  

13644/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 13644 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 13644 are: 1  2  3  4  6  9  12  18  36  379  758  1137  1516  2274  3411  4548  6822  13644 
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 13644 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.

13644/100000

  =  

13644 ÷ 4/100000 ÷ 4

  =  

3411/25000

Good work! We have just walked through the steps on how to represent 0.13644 as a fraction.