Question

express 0.6( bar on 6) in the form of p/q

Answer 1

This is the answer....

Answer 2

Let a = 0.$\bar{6}$

As there is one number under bar, multiply by 10 on both sides of the equation given above.

∴ 10 x a = 10 x 0.$\bar{6}$

⇒ 10a = 6.$\bar{6}$

Now, subtract a(0.$\bold{bar{0}}$) from both sides,

10a = 6.$\bar{6}$

- a =  - 0.$\bar{6}$

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9a = 6    [bar cancel]

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a = $\dfrac{6}{9}$

a = $\dfrac{2}{3}$

From above, a = 0.$\bar{6}$

$\therefore 0.\bar{6} = \dfrac{2}{3}$

Hence, 0.$\bar{6}$ inm p/q form is 2 / 3 .