Question

convert 0.163 into rational number
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Answer 1

Answer:

The value in fraction is x=\frac{9}{55}.

Step-by-step explanation:

Given : 0.163(bar on 63)

To find : Express 0.163(bar on 63) as a fraction in simplest form?

Solution :

Let 0.163(bar on 63) be x

i.e. x=0.1636363...

We multiply it by 10.

10x=1.636363... (1)

We multiply it by 1000.

1000x=163.6363... (2)

Subtract (1) from (2),

1000x-10x=163.6363...-(1.636363...)

990x=162

Now, divide 162 by 990

x=\frac{162}{990}

x=\frac{9}{55}

Therefore, The value in fraction is x=\frac{9}{55}