Question

Express 0.18 in the form p/q , where p and q are integers and q is not equal to 0 . In 0.18 , 18 contains a bar .​

Answer 1

Answer:

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Step-by-step explanation:

x = 0.1818....

100x = 18.1818...

100x-x = 18.1818..-0.1818...

99x = 18

x = 18/99

x = 2/11

Answer 2

Given:

0.18 bar

To find:

The p/q form of 0.18 bar

Solution:

The required value is 2/11.

We can obtain the required fraction by multiplying the given term by 100.

Let the given number be equal to X.

So, X=0.18 bar (1)

Now, on multiplying by 100, we get

100X=18.18 bar (2)

We will subtract (1) and (2) to obtain the fraction.

On subtracting,

100X-X=18.18 bar -0.18 bar

99X=18

X=18/99

X=2/11

So, p/q=2/11.

Therefore, the required value is 2/11.