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s3.3.4

In the form: .abcbcbc...

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The method for converting repeating decimals can be extended to more complex patterns. For a decimal like .abcbcbc....abcbcbc..., with one non-repeating digit followed by a two-digit repeating block, the fractional form is abca990\frac{abc - a}{990}, where abcabc is the three-digit number formed by the first three digits. For example, .4373737...=4374990=433990.4373737... = \frac{437-4}{990} = \frac{433}{990}. It is important to always reduce the resulting fraction to its lowest terms.

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