1.

When 0.090909.....is converted into a fraction, then the result is1). 1/332). 1/113). 2/334). 6/11

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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