Question
Convert the recurring decimal 0.434343... to a fraction
in simplest form.Solution
Let x = 0.434343... Multiply by 100 (because two digits repeat): 100x = 43.434343... Subtract original: 100x − x = 43.4343... − 0.4343... = 43 So 99x = 43 x = 43/99 Answer: 0.434343... = 43/99.
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