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A manufacturer determines that the cost of making a computer component is ​$4.191919. Write the repeating decimal cost as a fraction and as a mixed number.

Respuesta :

LammettHash

Let [tex]x=4.191919\ldots[/tex]. Then [tex]100x=419.191919\ldots[/tex]. So

[tex]100x-x=99x=415[/tex]

[tex]\implies x=\dfrac{415}{99}=4+\dfrac{19}{99}[/tex]

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