Show that the repeating decimal .234234234 can be written as a fraction x = .234234234 {let x equal the given repeating decimal} 1,000x = 234.234234234 {multiplied both sides by 1,000} x = .234234234 {original equation}  999x = 234 {subtracted the two equations} x = 234/999 {divided both sides by 999} x = 26/111 {reduced} © Algebra House
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