Question

Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers: 

\[\frac{- 3}{5} \text{and} \frac{- 2}{- 15}\]

Answer 1

\[ \text{We have}\frac{- 3}{5}\text{and} \frac{- 2}{- 15} \text{or}\frac{- 3}{5}\text{and} \frac{2}{15} . \]
\[ \therefore \frac{- 3}{5} + \frac{2}{15} = \frac{- 9}{15} + \frac{2}{15} = \frac{- 9 + 2}{15} = \frac{- 7}{15}\]
\[\frac{2}{15} + \frac{- 3}{5} = \frac{2}{15} + \frac{- 9}{15} = \frac{2 - 9}{15} = \frac{- 7}{15}\]
\[ \therefore \frac{- 3}{5} + \frac{- 2}{- 15} = \frac{- 2}{- 15} + \frac{- 3}{5}\]
\[\text{Hence verified .} \]