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Question Hard Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

कौन-सा दशमलव \(\frac{13}{99}\) के बराबर है?

Which decimal is equal to \(\frac{13}{99}\)?

Explanation opens after your attempt
Correct Answer

A. \(0.\overline{13}\)

Step 1

Concept

The purely recurring decimal \(0.\overline{13}\) equals \(\frac{13}{99}\).

Step 2

Why this answer is correct

The two (9)'s in the denominator match the two repeating digits.

Step 3

Exam Tip

Distinguish purely recurring decimals from mixed recurring decimals. चरण 1: दो अंकों वाला पूर्ण आवर्ती दशमलव \(0.\overline{13}\) \(\frac{13}{99}\) के बराबर होता है। चरण 2: हर में दो (9) आवर्ती भाग के दो अंकों को दिखाते हैं। चरण 3: पूर्ण आवर्ती और मिश्रित आवर्ती दशमलव में अंतर रखें।

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