\(0.2\overline{36}\) ஐ மோசமான பின்னமாக மாற்றவும்.

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RRB Group D 25 Aug 2022 Shift 2 Official Paper
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  1. \(\frac{7}{33}\)
  2. \(\frac{9}{44}\)
  3. \(\frac{13}{55}\)
  4. \(\frac{17}{66}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{13}{55}\)
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Detailed Solution

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கொடுக்கப்பட்டவை : \(0.2\overline{36} \)

கணக்கீடு:

மீண்டும் வரும் தசமத்தை பின்ன வடிவில் எழுதுவோம்

X = X ஐ 10 ஆல் பெருக்கவும்

10X = \(2.\overline{36} \) ..... (1)

1000x = \(236.\overline{36} \) .....(2)

(1) இலிருந்து (2) கழிக்கவும்

=> \(1000X - 10X =236.\overline{36}-2.\overline{36} \)

=> \(990X=234\)

=> \(X ={234\ 990}க்கு மேல்\)

=> \(X={13\55}க்கு மேல்\)

எனவே, பதில் ' \(\textbf{13}\over \textbf{55}\) '.

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