What is 0.36608 as a fraction?

Answer: 0.36608 as a fraction equals 36608/100000 or 1144/3125

Here is the solution for converting 0.36608 to a fraction:

Step 1:

First, we write 0.36608 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!

0.36608/1

  =  

0.36608 x 100000/1 x 100000

  =  

36608/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 36608 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 36608 are: 1  2  4  8  11  13  16  22  26  32  44  52  64  88  104  128  143  176  208  256  286  352  416  572  704  832  1144  1408  1664  2288  2816  3328  4576  9152  18304  36608 
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 36608 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.

36608/100000

  =  

36608 ÷ 32/100000 ÷ 32

  =  

1144/3125

Good work! We have just walked through the steps on how to represent 0.36608 as a fraction.