What is 3.36864 as a fraction?

Answer: 3.36864 as a fraction equals 336864/100000 or 10527/3125

Here is the solution for converting 3.36864 to a fraction:

Step 1:

First, we write 3.36864 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!

3.36864/1

  =  

3.36864 x 100000/1 x 100000

  =  

336864/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 336864 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 336864 are: 1  2  3  4  6  8  11  12  16  22  24  29  32  33  44  48  58  66  87  88  96  116  121  132  174  176  232  242  264  319  348  352  363  464  484  528  638  696  726  928  957  968  1056  1276  1392  1452  1914  1936  2552  2784  2904  3509  3828  3872  5104  5808  7018  7656  10208  10527  11616  14036  15312  21054  28072  30624  42108  56144  84216  112288  168432  336864 
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 336864 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.

336864/100000

  =  

336864 ÷ 32/100000 ÷ 32

  =  

10527/3125

Good work! We have just walked through the steps on how to represent 3.36864 as a fraction.