how to add negative whole number with a negative fraction

$$\\-5+-\frac{1}{3}\\\\ =-5-\frac{1}{3}\\\\ $Now on a number line you would start at -5 and then you would go $\\ \frac{1}{3} $ to the negative (left) side.$\\ $That means you would go further away from 0 - it would become more negative$\\\\ =-5\frac{1}{3}\\\\\\ $This is really the same as $ -(5+\frac{1}{3})$$