Question

Show that 0.142857142857...=17

Answer 1

Answer:

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.

Step-by-step explanation:

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