What is 3.78756 as a fraction?

Answer: 3.78756 as a fraction equals 378756/100000 or 94689/25000

Here is the solution for converting 3.78756 to a fraction:

Step 1:

First, we write 3.78756 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!

3.78756/1

  =  

3.78756 x 100000/1 x 100000

  =  

378756/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 378756 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 378756 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  42  54  63  81  84  108  126  162  167  189  252  324  334  378  501  567  668  756  1002  1134  1169  1503  2004  2268  2338  3006  3507  4509  4676  6012  7014  9018  10521  13527  14028  18036  21042  27054  31563  42084  54108  63126  94689  126252  189378  378756 
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 378756 and 100000 that gives us a GCF value of: 4

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.

378756/100000

  =  

378756 ÷ 4/100000 ÷ 4

  =  

94689/25000

Good work! We have just walked through the steps on how to represent 3.78756 as a fraction.