What is 2.85714 as a fraction?

Answer: 2.85714 as a fraction equals 285714/100000 or 142857/50000

Here is the solution for converting 2.85714 to a fraction:

Step 1:

First, we write 2.85714 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!

2.85714/1

  =  

2.85714 x 100000/1 x 100000

  =  

285714/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 285714 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 285714 are: 1  2  3  6  9  11  13  18  22  26  27  33  37  39  54  66  74  78  99  111  117  143  198  222  234  286  297  333  351  407  429  481  594  666  702  814  858  962  999  1221  1287  1443  1998  2442  2574  2886  3663  3861  4329  5291  7326  7722  8658  10582  10989  12987  15873  21978  25974  31746  47619  95238  142857  285714 
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 285714 and 100000 that gives us a GCF value of: 2

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.

285714/100000

  =  

285714 ÷ 2/100000 ÷ 2

  =  

142857/50000

Good work! We have just walked through the steps on how to represent 2.85714 as a fraction.