Medium Mathematics Real Numbers Class 10 Level 19

\(0.12\overline{3}\) को सरल भिन्न के रूप में लिखिए।

Write \(0.12\overline{3}\) as a fraction in simplest form.

Explanation opens after your attempt
Correct Answer

A. \(\frac{37}{300}\)

Step 1

Concept

In \(0.12\overline{3}=0.123333\ldots\), (12) is the non-repeating part and (3) is the repeating part.

Step 2

Why this answer is correct

The fraction is \(\frac{123-12}{900}=\frac{111}{900}=\frac{37}{300}\).

Step 3

Exam Tip

Exam tip: Identify the non-repeating and repeating parts before placing (9) and (0) in the denominator. चरण 1: \(0.12\overline{3}=0.123333\ldots\) में (12) स्थिर भाग है और (3) आवर्ती भाग है। चरण 2: भिन्न \(\frac{123-12}{900}=\frac{111}{900}=\frac{37}{300}\) मिलेगी। चरण 3: परीक्षा सुझाव: स्थिर और आवर्ती भाग अलग पहचानकर ही हर में (9) और (0) लगाएं।

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Mathematics Answer, Explanation and Revision Hints

\(0.12\overline{3}\) को सरल भिन्न के रूप में लिखिए। / Write \(0.12\overline{3}\) as a fraction in simplest form.

Correct Answer: A. \(\frac{37}{300}\). Explanation: चरण 1: \(0.12\overline{3}=0.123333\ldots\) में (12) स्थिर भाग है और (3) आवर्ती भाग है। चरण 2: भिन्न \(\frac{123-12}{900}=\frac{111}{900}=\frac{37}{300}\) मिलेगी। चरण 3: परीक्षा सुझाव: स्थिर और आवर्ती भाग अलग पहचानकर ही हर में (9) और (0) लगाएं। / Step 1: In \(0.12\overline{3}=0.123333\ldots\), (12) is the non-repeating part and (3) is the repeating part. Step 2: The fraction is \(\frac{123-12}{900}=\frac{111}{900}=\frac{37}{300}\). Step 3: Exam tip: Identify the non-repeating and repeating parts before placing (9) and (0) in the denominator.

Which concept should I revise for this Mathematics MCQ?

In \(0.12\overline{3}=0.123333\ldots\), (12) is the non-repeating part and (3) is the repeating part.

What exam hint can help solve this Mathematics question?

Exam tip: Identify the non-repeating and repeating parts before placing (9) and (0) in the denominator. चरण 1: \(0.12\overline{3}=0.123333\ldots\) में (12) स्थिर भाग है और (3) आवर्ती भाग है। चरण 2: भिन्न \(\frac{123-12}{900}=\frac{111}{900}=\frac{37}{300}\) मिलेगी। चरण 3: परीक्षा सुझाव: स्थिर और आवर्ती भाग अलग पहचानकर ही हर में (9) और (0) लगाएं।

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