Question
Download Solution PDFदिए गए व्यंजक को सरल कीजिए।
\(11.45\overline{65} \div 2.\overline {67}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
\(11.45\overline{65} \div 2.\overline {67}\)
गणना:
n को सरल बनाने के लिए, हमें उन्हें \(p\over q\) के रूप में बदलना होगा
\(11.45\overline{65}\)...... के लिए
माना x = 11.4565656565....
दोनों पक्षों को 100 से गुणा करने पर
100x = 1145.656565......
100x = 1134.20 + 11.456565....
100x = 1134.20 + x
99x = \(113420\over100\)
x = \(113420\over9900\)
\(2.\overline{67}\).... के लिए
माना x = 2.676767....
दोनों पक्षों को 100 से गुणा करने पर
100x = 267.6767.......
100x = 265 + 2.676767....
100x = 265 + x
99x = 265
x = \(265\over99\)
अब, हमारे पास है
\(11.45\overline{65} \div 2.\overline {67}\) = \({113420\over9900}\div{265\over99}\)
= \({113420\over9900}\times{99\over265}\)
= \({428\over100}={107\over25}\)
= \({4}{7\over25}\)
अतः सही उत्तर \({4}{7\over25}\) है।
Last updated on Jul 11, 2025
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