guardian41 guardian41

28-10-2018
Mathematics

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whars 0.84 repeating as a fraction in simplest form?

Respuesta :

sqdancefan sqdancefan

28-10-2018

Answer:

28/33

Step-by-step explanation:

Let x represent the value of the fraction.

[tex]x=0.\overline{84}\\100x=84.\overline{84}\\100x-x=99x=84.\overline{84}-0.\overline{84}=84\\\\x=\dfrac{84}{99}\qquad\text{divide by 99}\\\\x=\dfrac{28}{33}\qquad\text{in simplest terms}[/tex]

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