Question

If 0.142857142857.... express in the form of
m/n, then the value of (2m + n) is....?

Answer 1

Step-by-step explanation:

Let x = 0.142857142857 …………………..(i)

On multiplying both sides of Eq. (i) by 1000000, we get

1000000 x = 142857.142857…………………………(ii)

On subtracting Eq. (i) from Eq. (ii), we get

1000000 x – x = (142857.142857…) – (0.142857..) ⇒ 999999 x = 142857

∴ x = 142857/999999 = 1/7 Hence proved