What is 3.13782 as a fraction?

Answer: 3.13782 as a fraction equals 313782/100000 or 156891/50000

Here is the solution for converting 3.13782 to a fraction:

Step 1:

First, we write 3.13782 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!

3.13782/1

  =  

3.13782 x 100000/1 x 100000

  =  

313782/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 313782 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 313782 are: 1  2  3  6  7  14  21  31  42  62  93  186  217  241  434  482  651  723  1302  1446  1687  3374  5061  7471  10122  14942  22413  44826  52297  104594  156891  313782 
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 313782 and 100000 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.

313782/100000

  =  

313782 ÷ 2/100000 ÷ 2

  =  

156891/50000

Good work! We have just walked through the steps on how to represent 3.13782 as a fraction.