Question

Simplify:

\[\frac{8}{9} + \frac{- 11}{6}\]

 

Answer 1

\[\frac{8}{9} + \frac{- 11}{6}\]
\[\text{L.C.M. of the denominators 9 and 6 is 18}.\]
\[\text{Now, we will express}\frac{8}{9}\text{and}\frac{- 11}{6}\text{in the form in which they take the denominator 18}.\]
\[\frac{8 \times 2}{9 \times 2} = \frac{16}{18}\]
\[\frac{- 11 \times 3}{6 \times 3} = \frac{- 33}{18}\]
\[\frac{8}{9} + \frac{- 11}{6} = \frac{16}{18} + \frac{- 33}{18}\]
\[ = \frac{16 + ( - 33)}{18}\]
\[ = \frac{16 - 33}{18}\]
\[ = \frac{- 17}{18}\]