Convert 0.343434..... into a franction.

This question was previously asked in
NPCIL Assistant Grade-1 (Advance) Official Paper-II (Held On: 08 Sept, 2018)
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  1. 33/99
  2. 34/100
  3. 35/99
  4. 34/99

Answer (Detailed Solution Below)

Option 4 : 34/99
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NPCIL Assistant Grade 1 Computer Knowledge Subject Test - 01
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20 Questions 60 Marks 15 Mins

Detailed Solution

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Given:

Convert 0.343434..... into a fraction.

Formula used:

Let x = 0.343434...

Multiply both sides by 100 to shift the decimal point:

100x = 34.343434...

Subtract the original equation from this result to eliminate the repeating decimal:

100x - x = 34.343434... - 0.343434...

Calculations:

100x - x = 34.343434... - 0.343434...

⇒ 99x = 34

⇒ x = 34/99

∴ The correct answer is option (4).

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