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Question
What number should be added to \[\frac{- 5}{7}\] to get\[\frac{- 2}{3}?\]
Solution
\[\text{Let x be added .} \]
\[ \therefore x + \frac{- 5}{7} = \frac{- 2}{3}\]
\[ \Rightarrow x = \frac{- 2}{3} - \frac{- 5}{7}\]
\[ \Rightarrow x = \frac{- 14}{21} - \frac{- 15}{21}\]
\[ \Rightarrow x = \frac{- 14 - ( - 15)}{21}\]
\[ \Rightarrow x = \frac{- 14 + 15}{21}\]
\[ \Rightarrow x = \frac{1}{21}\]
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