\(0.4 \overline{32}\) কে p/q আকারে প্রকাশ করুন, যেখানে p এবং q পূর্ণসংখ্যা এবং q ≠ 0

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RRB Group D Previous Year Paper (Held on: 26 Aug 2022 Shift 2)
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  1. \(\frac{465}{173}\)
  2. \(\frac{173}{465}\)
  3. \(\frac{214}{495}\)
  4. \(\frac{495}{214}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{214}{495}\)
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প্রদত্ত:

\(0.4 \overline{32}\) কে p/q আকারে প্রকাশ করো, যেখানে p এবং q পূর্ণসংখ্যা এবং q ≠ 0 

অনুসৃত সূত্র:

ধরি x = 0.4323232...

গণনা:

উভয় পক্ষকে 100 দিয়ে গুণ করলে:

⇒ 100x = 43.232323...

মূল সমীকরণটি বাদ দিলে:

⇒ 100x - x = 43.232323... - 0.4323232...

⇒ 99x = 42.8

⇒ x = 42.8 / 99

⇒ x = 428 / 990

⇒ x = 214 / 495

∴ সঠিক উত্তরটি হলো বিকল্প (3)

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