Question

Express 0.4bar in the form p by q

Answer 1

X=0.4bar ..........equation1

10×equ1

10x=4.4bar.......equ2

So

ATB

Equation2-equation1

10x-x=0.4bar-4.4bar

9x=4

x=4/9

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Answer 2

Question:

Express $0.\overline{4}$ in the form $\dfrac{p}{q}$

Solution:

Let x = $0.\overline{4}$

Then, x = 0.444.... (Equation 1)

Multiplying both sides by 10 in Equation 1

10x = 4.444.... (Equation 2)

Subtracting Equation 1 from Equation 2

10x - x = 4.444.... - 0.444....

9x = 4

x = $\dfrac{4}{9}$

Hence,

$0.\overline{4} = \dfrac{4}{9}$