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

Question

Skylar Adams · Accepted Answer

#-11/3#

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.

The easiest number would be #15#.

We can now make all denominators 15, but we must also multiply the numerator of each fraction by the number we used to get each denominator to #15#.

It would eventually look like this:

#((3)4)/15 - ((3)19)/15 - ((5)1)/15 - ((5)1)/15#

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

#(12-57-5-5)/15#

#-55/15#

#-11/3#

Gianna Caruso · Answer

undefined To simplify the expression $\frac{4}{5} - \frac{19}{5} - \frac{1}{3} - \frac{1}{3}$:

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

$$
\frac{4}{5} - \frac{19}{5} - \frac{1}{3} - \frac{1}{3} = \frac{4 - 19}{5} - \frac{1}{3} - \frac{1}{3}
$$

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

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