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Yes. Let me show you why.

let's represent the number with the variable 'x'

x = 0.4444...

x * 10 = 10 * 0.4444...

10x = 4.4444...

- x = 0.4444...

9x = 4

x = 4/9

Rational numbers by definition must be able to be represented by a fraction.

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