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# pls help me

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What is $\frac{0.\overline{72}}{0.\overline{27}}$? Express your answer as a common fraction in lowest terms.

Jul 27, 2022

#1
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The expression reduces to 2/9.

Jul 27, 2022
#2
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Your answer is wrong, the number is more than the denominator, so the fraction will be greater than 1...

BuilderBoi  Jul 28, 2022
#3
+2448
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I'll do the numerator, and you can do the denominator.

For the numerator, let $$x = 0.{ \overline{72}}$$. This means $$100x = {72. \overline{72}}$$ (move the decimal point 2 places to the right)

Subtracting the 2 yields us $$99x = 72$$ (the repeating parts cancel out)

Dividing by 99, we find that $$x = {72 \over 99}$$

Jul 28, 2022