Question
Download Solution PDF0.\(\overline{52}\) को \(\frac{p}{q}\) के रूप में व्यक्त कीजिए जहाँ p और q पूर्णांक हैं और q ≠ 0 है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
0.\(\overline{52}\) को \(\dfrac{p}{q}\) के रूप में व्यक्त कीजिए, जहाँ p और q पूर्णांक हैं और q ≠ 0 है।
प्रयुक्त सूत्र:
माना, x = 0.\(\overline{52}\)
दशमलव बिंदु को दो स्थान दाईं ओर स्थानांतरित करने के लिए दोनों पक्षों को 100 से गुणा करें:
100x = 52.\(\overline{52}\)
फिर, इस नए समीकरण से मूल समीकरण घटाएँ:
गणनाएँ:
100x = 52.\(\overline{52}\)
x = 0.\(\overline{52}\)
⇒ 100x - x = 52.\(\overline{52}\) - 0.\(\overline{52}\)
⇒ 99x = 52
⇒ x = \(\dfrac{52}{99}\)
∴ सही उत्तर विकल्प (2) है।
Last updated on Jul 16, 2025
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