Question
Download Solution PDFदिलेल्या पदावलीला सरळरुप द्या.
\(11.45\overline{65} \div 2.\overline {67}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
\(11.45\overline{65} \div 2.\overline {67}\)
गणना:
सरळरुप देण्यासाठी n क्रम, आपल्याला त्यांना \(p\over q\) स्वरूपात रूपांतरित करावे लागेल.
\(11.45\overline{65}\) साठी .....
समजा, x = 11.4565656565....
दोन्ही बाजूंना 100 ने गुणू
100x = 1145.656565......
100x = 1134.20 + 11.456565....
100x = 1134.20 + x
99x = \(113420\over100\)
x = \(113420\over9900\)
\(2.\overline{67}\) साठी.....
समजा, x = 2.676767....
दोन्ही बाजूंना 100 ने गुणू
100x = 267.6767......
100x = 265 + 2.676767....
100x = 265 + x
99x = 265
x = \(265\over99\)
आता, आपल्याकडे,
\(11.45\overline{65} \div 2.\overline {67}\) = \({113420\over9900}\div{265\over99}\)
= \({113420\over9900}\times{99\over265}\)
= \({428\over100}={107\over25}\)
= \({4}{7\over25}\)
म्हणून, \(\bf {4}{7\over25}\) हे योग्य उत्तर आहे.
Last updated on Jun 30, 2025
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