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Question Hard Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

\(0.\overline{27}\) को परिमेय संख्या के रूप में लिखने पर सरलतम हर कौन-सा होगा?

When \(0.\overline{27}\) is written as a rational number, what will be the reduced denominator?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

\(0.\overline{27}=\frac{27}{99}\).

Step 2

Why this answer is correct

\(\frac{27}{99}=\frac{3}{11}\), so the reduced denominator is (11).

Step 3

Exam Tip

First form a denominator with (9)'s according to the repeating block, then reduce. चरण 1: \(0.\overline{27}=\frac{27}{99}\) है। चरण 2: \(\frac{27}{99}=\frac{3}{11}\), इसलिए सरलतम हर (11) है। चरण 3: आवर्ती अंकों की संख्या के अनुसार पहले (9) वाला हर बनाइए, फिर सरल कीजिए।

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