Question

Simplify:

\[\frac{- 16}{9} + \frac{- 5}{12}\]

Answer 1

\[\frac{- 16}{9} + \frac{- 5}{12}\]
\[\text{L.C.M. of thedenominators 9 and 12 is 36.}\]
\[\text{Now, we willexpress}\frac{- 16}{9}\text{and}\frac{- 5}{12}\text{in the form in which they take thedenominator 36.}\]
\[\frac{- 16 \times 4}{9 \times 4} = \frac{- 64}{36}\]
\[\frac{- 5 \times 3}{12 \times 3} = \frac{- 15}{36}\]
\[\frac{- 16}{9} + \frac{- 5}{12} = \frac{- 64}{36} + \frac{- 15}{36}\]
\[ = \frac{( - 64) + ( - 15)}{36}\]
\[ = \frac{- 64 - 15}{36}\]
\[ = \frac{- 79}{36}\]