Question

show that 0.1428517142857.... = 1/7

Answer 1

Hello dear,

x = 0.142857142857......... [ 1 ]

1000000x = 14287.14857....... [ 2 ]

[ 1 ] - [ 2 ]

=> 1000000x - x = (142857.142857...)-(0.142857..)

=> 99999x = 142857

=> x = 142857/999999

Hope it helps.