Convert \(\frac{23}{11}\) to its recurring decimal form.

Question

Question

This question was previously asked in

RRB Group D 16 Sept 2022 Shift 3 Official Paper

Answer 1

Concept Used:

The recurring decimal is the digit after the point (0.) Which gets repeated periodically till infinity

Calculation:

According to question

\(\frac{23}{11}\) can be written as:

= \(\frac{(22 + 1)}{11}\)

= 2 + \(\frac{1}{11}\)

= 2 + 0.09090909...........

= 2.09090909.......

= \(2.\overline{09}\) (When digits start repeating we put the bar over the number which gets repeated periodically)

Thus, the required value is \(2.\overline{09}\).

Hence, the correct answer is option 1).

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