Question

solve 0.4 (bar on 4) in the form of p/q
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Answer 1

Answer:

Step-by-step explanation:

the number 0.4444.....

{we have to express in the the above number in the form of }\frac{p}{q}

{Let }x=0.4444....    →   (1)

Multiply above equation throughout by 10, we get

10x=4.4444....   →     (2)

Subtract equation 1 from 2, we get

9x=4

x=\frac{4}{9}

{Hence, the fraction form is }\frac{4}{9}

Answer 2

Answer:

Let x = 0.4 (bar on 4) = 0.44444.... (i)

Then, 10x = 4.4444.... (ii)

Subtracting (i) from (ii)

10x - x = 4.4444.... - 0.44444.....

9x = 4

x = 4/9

So,

p/q form of 0.4 (bar on 4) = 4/9