প্রদত্ত রাশির সরলীকরণ করুন।

\(11.45\overline{65} \div 2.\overline {67}\)

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RRB Group D 19 Sept 2022 Shift 1 Official Paper
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  1. \({4}{7\over25}\)
  2. \(3{7\over25}\)
  3. \(3{4\over25}\)
  4. \(4{2\over25}\)

Answer (Detailed Solution Below)

Option 1 : \({4}{7\over25}\)
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প্রদত্ত:

\(11.45\overline{65} \div 2.\overline {67}\)

গণনা:

n সরলীকরণ করার জন্য, আমাদের তাদের \(p\over q\) আকারে রূপান্তর করতে হবে

\(11.45\overline{65}\) ..... এর জন্য 

ধরা যাক x = 11.4565656565...

উভয় পক্ষকে 100 দিয়ে গুণ করা হচ্ছে

100x = 1145.656565......

100x = 1134.20 + 11.456565...

100x = 1134.20 + x

99x = \(113420\over100\)

x = \(113420\over9900\)

\(2.\overline{67}\) ..... এর জন্য 

ধরা যাক x = 2.676767...

উভয় পক্ষকে 100 দিয়ে গুণ করা হচ্ছে

100x = 267.6767......

100x = 265 + 2.676767...

100x = 265 + x

99x = 265

x = \(265\over99\)

এখন আমাদের আছে

\(11.45\overline{65} \div 2.\overline {67}\) = \({113420\over9900}\div{265\over99}\)

= \({113420\over9900}\times{99\over265}\)

= \({428\over100}={107\over25}\)

= \({4}{7\over25}\)

সুতরাং, সঠিক উত্তর হল \({4}{7\over25}\) 

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