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

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