# How do you simplify #\frac{4}{5}-\frac{19}{5}-\frac{1}{3}-\frac{1}{3}#?

Solving this problem is all about finding common denominators. To do that, we need to find a number that each of those denominators can go into.

It would eventually look like this:

Now all we have to do is clean up at bit and get:

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To simplify the expression (\frac{4}{5} - \frac{19}{5} - \frac{1}{3} - \frac{1}{3}):

- Combine the fractions with common denominators.
- Subtract the numerators while keeping the common denominator.

[ \frac{4}{5} - \frac{19}{5} - \frac{1}{3} - \frac{1}{3} = \frac{4 - 19}{5} - \frac{1}{3} - \frac{1}{3} ]

- Calculate the numerator for the first fraction: (4 - 19 = -15).
- Combine the fractions: (\frac{-15}{5} - \frac{1}{3} - \frac{1}{3}).
- Simplify each fraction separately.
- For the first fraction, (\frac{-15}{5} = -3).
- For the other fractions, they both have a denominator of (3), so combine the numerators: (- \frac{1 + 1}{3} = - \frac{2}{3}).
- Combine the simplified fractions: ( -3 - \frac{2}{3}).

So, the simplified expression is ( -3 - \frac{2}{3}).

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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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