Question

Simplify:

\[\frac{1}{- 12} + \frac{2}{- 15}\]

Answer 1

\[\frac{1}{- 12} + \frac{2}{- 15} = \frac{- 1}{12} + \frac{- 2}{15}\]
\[\text{L.C.M. of thedenominators 12 and 15 is 60}.\]
\[\text{Now, we willexpress}\frac{- 1}{12}\text{and}\frac{- 2}{15}\text{in the form in which they take thedenominator 60}.\]
\[\frac{- 1 \times 5}{12 \times 5} = \frac{- 5}{60}\]
\[\frac{- 2 \times 4}{15 \times 4} = \frac{- 8}{60}\]
\[\frac{- 1}{12} + \frac{- 2}{15} = \frac{- 5}{60} + \frac{- 8}{60}\]
\[ = \frac{( - 5) + ( - 8)}{60}\]
\[ = \frac{- 5 - 8}{60}\]
\[ = \frac{- 13}{60}\]