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A decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.666… or as in 1.851851851…

‘As a number that cannot be written as a repeating decimal or a finite decimal pi is irrational: it cannot be written as a fraction (the ratio of two integers).’

‘All repeating decimals like 0.575757575757…, all integers like 46, and all finite decimals like 0.472 are rational.’

‘If the decimal is a repeating decimal instead of a terminating one, we can still convert it to a fraction.’

‘He attributed the difficulties of Stephanie and Jesse to entrenched, flawed concept images formed by prior experience with repeating decimals and continuity.’

‘Consistent with her categorization of mathematical definitions, she seemed to think the concept definition for repeating decimal had not been extracted quite correctly in the case of 0.999…’