Math, asked by prekha53, 1 year ago

0.121212...को p/qके रूप में लिखो

Answers

Answered by gangwarakash999
1
Hey Mate :

0.121212.......

To find p/q.

Here Numbers are repeating.

so 0.121212.....will be
___
0.12

So the value of 0.121212.....

==> 12/99 <==

Hope it Helps : )

Please mark me as brain liest :
Answered by Anonymous
8
\huge\textbf{Answer:}

Let x = 0.121212...... ①

=> 100x = 12.121212...... ②

( Because, [1 and 2] both were repeating )

( A.T.Q. 2 digits were repeating so, 100 was multiplied both the sides )

Subtracting ① from ②

=> 100x - x = 12.121212...... - 0.121212......

=> 99x = 12

=> x = 12/99
______________________________________________________

A similar question's solution !

Express 0.12222...... In p/q form.

Let x = 0.12222......

=> 10x = 1.2222...... ①

=> 100x = 12.2222...... ②

( Here, only [2] was repeating term that's why we took it one by one )

subtracting ① from ②

=> 100x - 10x = 12.2222...... - 1.2222......

=> 90x = 11

=> x = 11/90

\huge\textbf{Thanks !}
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