# How can we write #3.11....# (repeated) as fraction?

Subtracting former from latter we get

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To express 3.11... (repeated) as a fraction, we can set it up as follows:

Let x = 3.111...

Then, multiplying both sides by 100 (to shift the decimal two places to the right):

100x = 311.111...

Subtracting the original equation from the second:

100x - x = 311.111... - 3.111...

This simplifies to:

99x = 308

Dividing both sides by 99:

x = 308/99

Therefore, 3.11... (repeated) can be written as the fraction 308/99.

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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.

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