2 years ago

Whars 0.84 repeating as a fraction in simplest form?

Mathematics

1 answer:

madam [21]2 years ago

4 0

Answer:

28/33

Step-by-step explanation:

Let x represent the value of the fraction.

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

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