Question:
Convert the recurring decimal \(0.363636\dots\) into a simple fraction in its lowest terms.
आवर्ती दशमलव \(0.363636\dots\) को सरलतम भिन्न में बदलिए।
Options:
- 4/11
- 3/11
- 36/100
- 11/36
- 4/11
- 3/11
- 36/100
- 11/36
Correct Answer: a)
Explanation:
Let \(x = 0.\overline{36}\).
\(x = \dfrac{36}{99} = \dfrac{4}{11}\).
\(0.\overline{36} = \dfrac{36}{99} = \dfrac{4}{11}\)।