# How do you simplify (-30/7) + -6?

Jul 11, 2016

$- \frac{72}{7}$
We have $\left(- \frac{30}{7}\right) + - 6$. We could use a calculator to find the decimal value of $- \frac{30}{7}$ and then add it to $- 6$, but let's solve this using fractions.
So, $- \frac{30}{7} + - 6$ can be rewritten as $- \frac{30}{7} - \frac{6}{1}$. In order to add or subtract fractions, the denominators must be equal. To do that, let's multiply $- \frac{6}{1}$ by $\frac{7}{7}$. That gives us $- \frac{42}{7}$.
Now we have $- \frac{30}{7} - \frac{42}{7}$. I don't know about you, but I don't like dealing with negatives, so let's just factor out those negatives, which would give us $- \left(\frac{30}{7} + \frac{42}{7}\right)$. Now we just add the numerators and leave the denominators alone. We should arrive at $- \left(\frac{72}{7}\right)$. Factor that negative back in and we have $- \frac{72}{7}$