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

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