Question

Express each of the following as a rational number of the form \[\frac{p}{q}:\] 

\[\frac{- 7}{4} + 0 + \frac{- 9}{5} + \frac{19}{10} + \frac{11}{14}\]

Answer 1

\[\frac{- 7}{4} + 0 + \frac{- 9}{5} + \frac{19}{10} + \frac{11}{14}\]
\[ = \frac{- 245}{140} + \frac{- 252}{140} + \frac{266}{140} + \frac{110}{140}\]
\[ = \frac{( - 245) + ( - 252) + 266 + 110}{140}\]
\[ = \frac{- 245 - 252 + 266 + 110}{140}\]
\[ = \frac{- 121}{140}\]