Question

Simplify each of the following and write as a rational number of the form $$\frac{p}{q}:$$

$$\frac{-4}{5}+\frac{-7}{10}+\frac{-8}{15}$$

 

Answer 1

$$\frac{-4}{5}+\frac{-7}{10}+\frac{-8}{15}$$
$$=\frac{-24}{30}+\frac{-21}{30}+\frac{-16}{30}$$
$$=\frac{(-24)+(-21)+(-16)}{30}$$
$$=\frac{-24-21-16}{30}$$
$$=\frac{-61}{30}$$