Question

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

\[\frac{- 8}{3} + \frac{- 1}{4} + \frac{- 11}{6} + \frac{3}{8} - 3\]

Answer 1

\[\frac{- 8}{3} + \frac{- 1}{4} + \frac{- 11}{6} + \frac{3}{8} - 3\]
\[ = \frac{- 64}{24} + \frac{- 6}{24} + \frac{- 44}{24} + \frac{9}{24} - \frac{72}{24}\]
\[ = \frac{( - 64) + ( - 6) + ( - 44) + 9 + ( - 72)}{24}\]
\[ = \frac{- 64 - 6 - 44 + 9 - 72}{24}\]
\[ = \frac{- 177}{24}\]
\[ = \frac{- 59}{8}\]