What is 3.11304 as a fraction?

Answer: 3.11304 as a fraction equals 311304/100000 or 38913/12500

Here is the solution for converting 3.11304 to a fraction:

Step 1:

First, we write 3.11304 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!

3.11304/1

  =  

3.11304 x 100000/1 x 100000

  =  

311304/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 311304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 311304 are: 1  2  3  4  6  7  8  12  14  17  21  24  28  34  42  51  56  68  84  102  109  119  136  168  204  218  238  327  357  408  436  476  654  714  763  872  952  1308  1428  1526  1853  2289  2616  2856  3052  3706  4578  5559  6104  7412  9156  11118  12971  14824  18312  22236  25942  38913  44472  51884  77826  103768  155652  311304 
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 311304 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.

311304/100000

  =  

311304 ÷ 8/100000 ÷ 8

  =  

38913/12500

Good work! We have just walked through the steps on how to represent 3.11304 as a fraction.