What is 3.13248 as a fraction?

Answer: 3.13248 as a fraction equals 313248/100000 or 9789/3125

Here is the solution for converting 3.13248 to a fraction:

Step 1:

First, we write 3.13248 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!

3.13248/1

  =  

3.13248 x 100000/1 x 100000

  =  

313248/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 313248 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 313248 are: 1  2  3  4  6  8  12  13  16  24  26  32  39  48  52  78  96  104  156  208  251  312  416  502  624  753  1004  1248  1506  2008  3012  3263  4016  6024  6526  8032  9789  12048  13052  19578  24096  26104  39156  52208  78312  104416  156624  313248 
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 313248 and 100000 that gives us a GCF value of: 32

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.

313248/100000

  =  

313248 ÷ 32/100000 ÷ 32

  =  

9789/3125

Good work! We have just walked through the steps on how to represent 3.13248 as a fraction.