Hard Mathematics Real Numbers Class 10 Level 20

\(0.\overline{09}\) को सरलतम भिन्न में लिखने पर हर क्या होगा?

What is the denominator when \(0.\overline{09}\) is written as a fraction in lowest form?

Explanation opens after your attempt
Correct Answer

B. (11)

Step 1

Concept

\(0.\overline{09}=\frac{09}{99}=\frac{9}{99}\).

Step 2

Why this answer is correct

\(\frac{9}{99}=\frac{1}{11}\), so the reduced denominator is (11).

Step 3

Exam Tip

If a zero is part of the repeating block, count it as a digit. चरण 1: \(0.\overline{09}=\frac{09}{99}=\frac{9}{99}\) है। चरण 2: \(\frac{9}{99}=\frac{1}{11}\), इसलिए सरलतम हर (11) है। चरण 3: आवर्ती भाग में शून्य हो तो भी उसे अंकों में गिनें।

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Mathematics Answer, Explanation and Revision Hints

\(0.\overline{09}\) को सरलतम भिन्न में लिखने पर हर क्या होगा? / What is the denominator when \(0.\overline{09}\) is written as a fraction in lowest form?

Correct Answer: B. (11). Explanation: चरण 1: \(0.\overline{09}=\frac{09}{99}=\frac{9}{99}\) है। चरण 2: \(\frac{9}{99}=\frac{1}{11}\), इसलिए सरलतम हर (11) है। चरण 3: आवर्ती भाग में शून्य हो तो भी उसे अंकों में गिनें। / Step 1: \(0.\overline{09}=\frac{09}{99}=\frac{9}{99}\). Step 2: \(\frac{9}{99}=\frac{1}{11}\), so the reduced denominator is (11). Step 3: If a zero is part of the repeating block, count it as a digit.

Which concept should I revise for this Mathematics MCQ?

\(0.\overline{09}=\frac{09}{99}=\frac{9}{99}\).

What exam hint can help solve this Mathematics question?

If a zero is part of the repeating block, count it as a digit. चरण 1: \(0.\overline{09}=\frac{09}{99}=\frac{9}{99}\) है। चरण 2: \(\frac{9}{99}=\frac{1}{11}\), इसलिए सरलतम हर (11) है। चरण 3: आवर्ती भाग में शून्य हो तो भी उसे अंकों में गिनें।

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