The decimal form of 0.32 is
The decimal form of \(0.\overline{32}\) is
A) \(\frac{32}{100}\)
B) \(\frac{32}{99 }\)
C) \(\frac{32}{90}\)
D) \(\frac{32}{50}\)
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Correct option is (B) \(\frac{32}{99}\)
Let x = \(0.\overline{32}\)
\(\Rightarrow\) x = 0.323232 .... ________(1)
Multiplying equation (1) by 100, we obtain
100x = 32.323232 .... ________(2)
99x = 32
\(\Rightarrow\) x = \(\frac{32}{99}\)
\(\therefore\) \(0.\overline{32}\) = \(\frac{32}{99}\)
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