What is 0.31416 as a fraction?

Answer: 0.31416 as a fraction equals 31416/100000 or 3927/12500

Here is the solution for converting 0.31416 to a fraction:

Step 1:

First, we write 0.31416 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!

0.31416/1

  =  

0.31416 x 100000/1 x 100000

  =  

31416/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 31416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 31416 are: 1  2  3  4  6  7  8  11  12  14  17  21  22  24  28  33  34  42  44  51  56  66  68  77  84  88  102  119  132  136  154  168  187  204  231  238  264  308  357  374  408  462  476  561  616  714  748  924  952  1122  1309  1428  1496  1848  2244  2618  2856  3927  4488  5236  7854  10472  15708  31416 
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 31416 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.

31416/100000

  =  

31416 ÷ 8/100000 ÷ 8

  =  

3927/12500

Good work! We have just walked through the steps on how to represent 0.31416 as a fraction.