What is 3.86512 as a fraction?

Answer: 3.86512 as a fraction equals 386512/100000 or 24157/6250

Here is the solution for converting 3.86512 to a fraction:

Step 1:

First, we write 3.86512 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!

3.86512/1

  =  

3.86512 x 100000/1 x 100000

  =  

386512/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 386512 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 386512 are: 1  2  4  7  8  14  16  17  28  29  34  49  56  58  68  98  112  116  119  136  196  203  232  238  272  392  406  464  476  493  784  812  833  952  986  1421  1624  1666  1904  1972  2842  3248  3332  3451  3944  5684  6664  6902  7888  11368  13328  13804  22736  24157  27608  48314  55216  96628  193256  386512 
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 386512 and 100000 that gives us a GCF value of: 16

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.

386512/100000

  =  

386512 ÷ 16/100000 ÷ 16

  =  

24157/6250

Good work! We have just walked through the steps on how to represent 3.86512 as a fraction.