Question

Simplify:

\[\frac{- 8}{19} + \frac{- 4}{57}\]

Answer 1

\[\frac{- 8}{19} + \frac{- 4}{57}\]
\[\text{L.C.M. of thedenominators 19 and 57 is 57}.\]
\[\text{Now, we willexpress}\frac{- 8}{19}\text{in the form in whichit takes the denominator 57}.\]
\[\frac{- 8 \times 3}{19 \times 3} = \frac{- 24}{57}\]
\[\frac{- 8}{19} + \frac{- 4}{57} = \frac{- 24}{57} + \frac{- 4}{57}\]
\[ = \frac{- 24 - 4}{57}\]
\[ = \frac{- 28}{57}\]