Question
Download Solution PDFপ্রদত্ত রাশির সরলীকরণ করুন।
\(11.45\overline{65} \div 2.\overline {67}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
\(11.45\overline{65} \div 2.\overline {67}\)
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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