How do you convert #0.bar(45)# (meaning the #45# is being repeated) to a fraction?
subtracting (1) from (2) we get
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Thus, we have
Hope this helps!
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To convert the repeating decimal (0.\overline{45}) to a fraction:
Let (x = 0.\overline{45}). Multiply both sides by 100 to shift the decimal places: (100x = 45.\overline{45}). Subtract the original equation from the multiplied equation: (100x - x = 45.\overline{45} - 0.\overline{45}). Simplify: (99x = 45). Divide both sides by 99: (x = \frac{45}{99}). Simplify the fraction: (x = \frac{5}{11}).
Therefore, (0.\overline{45}) is equivalent to (\frac{5}{11}).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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