What is 3.89256 as a fraction?

Answer: 3.89256 as a fraction equals 389256/100000 or 48657/12500

Here is the solution for converting 3.89256 to a fraction:

Step 1:

First, we write 3.89256 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!

3.89256/1

  =  

3.89256 x 100000/1 x 100000

  =  

389256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 389256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 389256 are: 1  2  3  4  6  7  8  12  14  21  24  28  42  49  56  84  98  147  168  196  294  331  392  588  662  993  1176  1324  1986  2317  2648  3972  4634  6951  7944  9268  13902  16219  18536  27804  32438  48657  55608  64876  97314  129752  194628  389256 
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 389256 and 100000 that gives us a GCF value of: 8

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.

389256/100000

  =  

389256 ÷ 8/100000 ÷ 8

  =  

48657/12500

Good work! We have just walked through the steps on how to represent 3.89256 as a fraction.