What is 3.10728 as a fraction?

Answer: 3.10728 as a fraction equals 310728/100000 or 38841/12500

Here is the solution for converting 3.10728 to a fraction:

Step 1:

First, we write 3.10728 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!

3.10728/1

  =  

3.10728 x 100000/1 x 100000

  =  

310728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 310728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 310728 are: 1  2  3  4  6  8  11  12  22  24  33  44  66  88  107  121  132  214  242  264  321  363  428  484  642  726  856  968  1177  1284  1452  2354  2568  2904  3531  4708  7062  9416  12947  14124  25894  28248  38841  51788  77682  103576  155364  310728 
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 310728 and 100000 that gives us a GCF value of: 8

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.

310728/100000

  =  

310728 ÷ 8/100000 ÷ 8

  =  

38841/12500

Good work! We have just walked through the steps on how to represent 3.10728 as a fraction.