What is 0.36864 as a fraction?

Answer: 0.36864 as a fraction equals 36864/100000 or 1152/3125

Here is the solution for converting 0.36864 to a fraction:

Step 1:

First, we write 0.36864 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!

0.36864/1

  =  

0.36864 x 100000/1 x 100000

  =  

36864/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 36864 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 36864 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  72  96  128  144  192  256  288  384  512  576  768  1024  1152  1536  2048  2304  3072  4096  4608  6144  9216  12288  18432  36864 
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 36864 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.

36864/100000

  =  

36864 ÷ 32/100000 ÷ 32

  =  

1152/3125

Good work! We have just walked through the steps on how to represent 0.36864 as a fraction.