\(0.12\overline{3}\) का परिमेय रूप किसके बराबर है?
Which rational form is equal to \(0.12\overline{3}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{37}{300}\)
Concept
Let \(x=0.12333\ldots\).
Why this answer is correct
Then \(100x=12.333\ldots\) and \(1000x=123.333\ldots\). Subtracting gives (900x=111), so \(x=\frac{111}{900}=\frac{37}{300}\).
Exam Tip
Separate the non-repeating and repeating parts before multiplying. चरण 1: मान लें \(x=0.12333\ldots\)। चरण 2: \(100x=12.333\ldots\) और \(1000x=123.333\ldots\)। घटाने पर (900x=111), इसलिए \(x=\frac{111}{900}=\frac{37}{300}\)। चरण 3: सांत और आवर्ती भाग अलग-अलग देखकर गुणा करें।
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