Question
Download Solution PDFConvert \(\frac{23}{11}\) to its recurring decimal form.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept 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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