Question

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

$$\frac{2}{3}+\frac{-5}{6}+\frac{-7}{9}$$

Answer 1

$$\frac{2}{3}+\frac{-5}{6}+\frac{-7}{9}$$
$$=\frac{12}{18}+\frac{-15}{18}+\frac{-14}{18}$$
$$=\frac{12+(-15)+(-14)}{18}$$
$$=\frac{12-15-14}{18}$$
$$=\frac{-17}{18}$$