Question

What should be added to \[\left( \frac{2}{3} + \frac{3}{5} \right)\] to get\[\frac{- 2}{15}?\]

Answer 1

\[\text{Let x be added .} \]
\[ \therefore x + (\frac{2}{3} + \frac{3}{5}) = \frac{- 2}{15}\]
\[ \Rightarrow x + (\frac{10}{15} + \frac{9}{15}) = \frac{- 2}{15}\]
\[ \Rightarrow x + (\frac{10 + 9}{15}) = \frac{- 2}{15}\]
\[ \Rightarrow x = \frac{- 2}{15} - \frac{19}{15}\]
\[ \Rightarrow x = \frac{- 2 - 19}{15}\]
\[ \Rightarrow x = \frac{- 21}{15}\]
\[ \Rightarrow x = \frac{- 7}{5}\]