Express $0. ¯ 4$ as a rational number in simplest form.

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Solution

Let $0. ¯ 4$ = x
10x = $4. ¯ 4$
10x -x = $4. ¯ 4$ - $0. ¯ 4$
9x = 4
x = $\frac{4}{9}$

x= $0. ¯ 4$ = $\frac{4}{9}$

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