Question

Express the following in the form p/q,where p and q are integers and q ≠ 0

(i) bar 0.6

Answer 1

(i) Let x = bar 0.6  x = 0.6666..... (a)

We need to multiply both sides by 10 to get

10 x = 6.6666..... (b)

We need to subtract (a) from (b), to get

We can also write 9x = 6 as x = 6/9 or x = 2/3.

Therefore, on converting bar 0.6 in the p/q form, we get the answer as 2/3.