What is 3.13968 as a fraction?

Answer: 3.13968 as a fraction equals 313968/100000 or 19623/6250

Here is the solution for converting 3.13968 to a fraction:

Step 1:

First, we write 3.13968 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!

3.13968/1

  =  

3.13968 x 100000/1 x 100000

  =  

313968/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 313968 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 313968 are: 1  2  3  4  6  8  12  16  24  31  48  62  93  124  186  211  248  372  422  496  633  744  844  1266  1488  1688  2532  3376  5064  6541  10128  13082  19623  26164  39246  52328  78492  104656  156984  313968 
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 313968 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.

313968/100000

  =  

313968 ÷ 16/100000 ÷ 16

  =  

19623/6250

Good work! We have just walked through the steps on how to represent 3.13968 as a fraction.