\(0.0\overline {18} = ?\) ന്റെ ശരിയായ സമവാക്യമാണ് 

This question was previously asked in
NTPC Tier I Previous Paper 16 (Held On: 11 Apr 2016 Shift 2)
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  1. 1/55
  2. 18/100
  3. 18/1000
  4. 1/66

Answer (Detailed Solution Below)

Option 1 : 1/55
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Detailed Solution

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കണക്കുകൂട്ടല്‍:

x = 0.0181818.... ആണെന്ന് കരുതുക.

⇒ 10x = 0.1818.... ----സമവാക്യം (1)

⇒ 1000x = 18.1818.... ----സമവാക്യം (2)

ഇപ്പോള്‍, സമവാക്യം (2) - സമവാക്യം (1)

⇒ 1000x - 10x = 18.1818... - 0.1818...

⇒ 990x = 18

⇒ x = 18/990

⇒ x = 1/55

\(0.0\overline {18} \) ന്‍റെ ഭിന്നസംഖ്യ 1/55 ആണ്

Shortcut Trick

\(0.\overline {ab} = ab/99\)

\(0.0 \:\overline {ab} = ab/990\)

\(0.0\overline {18} = 18/990\)

⇒ 2/110 = 1/55

∴ \(0.0\overline {18} \) ന്‍റെ ഭിന്നസംഖ്യ 1/55 ആണ്

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