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

Mar 7, 2018

$- \frac{11}{3}$

Explanation:

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:

$\frac{\left(3\right) 4}{15} - \frac{\left(3\right) 19}{15} - \frac{\left(5\right) 1}{15} - \frac{\left(5\right) 1}{15}$

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

$\frac{12 - 57 - 5 - 5}{15}$

$- \frac{55}{15}$

$- \frac{11}{3}$