Question
Download Solution PDF\(0.2\overline 7 \) 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 PDFप्रयुक्त सूत्र:
यदि हमारे पास \(0.a \bar b\) के रूप में संख्या है।
तब, \(0.a \bar b\) = \(ab - a\over 90\)
इसमें बिना बार वाले अंक को संख्या से घटाया जाता है।
अब, यह भिन्न p/q के रूप में है।
गणना:
यहाँ, हमारे पास \(0.2\bar7\) है।
साथ ही, यहाँ हमारे पास केवल एक अंक पर बार है।
साथ ही, 2 बिना बार के है इसलिए इसे अंश में 27 से घटाया जाएगा
इसलिए, \(0.2\bar7\) = \(27 -2\over90\) = 25/90 = 5/18
अब,, p/q के रूप में है
इसलिए, इसे p/q के रूप में 5/18 के रूप में व्यक्त किया जा सकता है।
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