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Question
What should be added to \[\frac{- 7}{8}\] so as to get \[\frac{5}{9}?\]
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Solution
\[\text{Let x be added to} \frac{- 7}{8} \text{so as to get} \frac{5}{9} . \]
\[ \therefore x + \frac{- 7}{8} = \frac{5}{9}\]
\[ \Rightarrow x = \frac{5}{9} - \frac{- 7}{8}\]
\[ \Rightarrow x = \frac{40}{72} - \frac{- 63}{72}\]
\[ \Rightarrow x = \frac{40 - ( - 63)}{72}\]
\[ \Rightarrow x = \frac{40 + 63}{72} = \frac{103}{72}\]
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