What is 3.10828 as a fraction?

Answer: 3.10828 as a fraction equals 310828/100000 or 77707/25000

Here is the solution for converting 3.10828 to a fraction:

Step 1:

First, we write 3.10828 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!

3.10828/1

  =  

3.10828 x 100000/1 x 100000

  =  

310828/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 310828 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 310828 are: 1  2  4  7  14  17  28  34  68  119  238  476  653  1306  2612  4571  9142  11101  18284  22202  44404  77707  155414  310828 
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 310828 and 100000 that gives us a GCF value of: 4

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.

310828/100000

  =  

310828 ÷ 4/100000 ÷ 4

  =  

77707/25000

Good work! We have just walked through the steps on how to represent 3.10828 as a fraction.