What is 3.9078 as a fraction?

Answer: 3.9078 as a fraction equals 39078/10000 or 19539/5000

Here is the solution for converting 3.9078 to a fraction:

Step 1:

First, we write 3.9078 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!

3.9078/1

  =  

3.9078 x 10000/1 x 10000

  =  

39078/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 39078 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 39078 are: 1  2  3  6  9  13  18  26  39  78  117  167  234  334  501  1002  1503  2171  3006  4342  6513  13026  19539  39078 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 39078 and 10000 that gives us a GCF value of: 2

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.

39078/10000

  =  

39078 ÷ 2/10000 ÷ 2

  =  

19539/5000

Good work! We have just walked through the steps on how to represent 3.9078 as a fraction.