Question
Download Solution PDFகொடுக்கப்பட்ட கோவையின் மதிப்பைக் கண்டுபிடிக்கவும்
\(11.45\overline{65} \div 2.\overline {67}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
\(11.45\overline{65} \div 2.\overline {67}\),
கணக்கீடு:
n எளிமைப்படுத்த, நாம் அவற்றை \(p\over q\)வடிவத்தில் மாற்ற வேண்டும்
\(11.45\overline{65}\).....
x = 11.4565656565....
இரண்டு பக்கங்களையும் 100 ஆல் பெருக்குதல்
100x = 1145.656565......
100x = 1134.20 + 11.456565....
100x = 1134.20 + x
99x = \(113420\over100\)
x = \(113420\over9900\)
\(2.\overline{67}\)க்கு.....
x = 2.676767.... என வைத்துக்கொள்வோம்
இரண்டு பக்கங்களையும் 100 ஆல் பெருக்குதல்
100x = 267.6767.......
100x = 265 + 2.676767....
100x = 265 + x
99x = 265
x =\(265\over99\)
இப்போது, நம்மிடம் இருப்பது,
\(11.45\overline{65} \div 2.\overline {67}\) = \({113420\over9900}\div{265\over99}\)
= \({113420\over9900}\times{99\over265}\)
= \({428\over100}={107\over25}\),
= \({4}{7\over25}\),
எனவே, சரியான பதில் \({4}{7\over25}\).,
Last updated on Jul 18, 2025
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