Question

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

$$\frac{-9}{10}+\frac{22}{15}+\frac{13}{-20}$$

 

Answer 1

$$\frac{-9}{10}+\frac{22}{15}+\frac{13}{-20}$$
$$=\frac{-54}{60}+\frac{88}{60}+\frac{-39}{60}$$
$$=\frac{(-54)+88+(-39)}{60}$$
$$=\frac{-54+88-39}{60}$$
$$=\frac{-5}{60}$$
$$=\frac{-1}{12}$$