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When 0.090909.....is converted into a fraction, then the result is1). 1/332). 1/113). 2/334). 6/11 |
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Answer» Let 0.090909…. = x ⇒ 0.0909090 is the given DECIMAL number ⇒ Here, 09 is repeated i.e., 2 digits are repeating ∴ Multiply the decimal by 102 i.e., 10 to the power of repeating digits ⇒ 9.090909…. ⇒ 9.090909… = 9 + 0.090909… ⇒ 100x = 9 + x ⇒ 99x = 9 ∴ x = 9/99 = 1/11 ∴ The FRACTION is 1/11 |
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