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}

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999x = 234 {subtracted the two equations}

x = 234/999 {divided both sides by 999}

x =

**26/111**{reduced}

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