7.2857142857142857 as a fraction

To find a common fraction equation to 7. 28571 28571 28571 ...

Call this number x:                    x  =  7. 28571 28571 28571 ...

Multiply this number by a number that will move the decimal point the number of places in each cycle of digits.

Since the cycle of digits is 28571, it has 5 digits, so multiply x by 10⁵ = 100000

--->               100 000x  =  728 571.28571 28571 ...

Now, subtract x:        -x  =           -7.28571 28571 ...

--->                99 999x  =  728 564

--->                          x  =  728 564 / 99 999       <---  The common fraction equivalent