Question

What should be subtracted from \[\left( \frac{3}{4} - \frac{2}{3} \right)\] to get\[\frac{- 1}{6}?\]

Answer 1

\[\text{Let x be subtracted .} \]
\[ \therefore (\frac{3}{4} - \frac{2}{3}) - x = \frac{- 1}{6}\]
\[ \Rightarrow (\frac{9}{12} - \frac{8}{12}) - x = \frac{- 1}{6}\]
\[ \Rightarrow (\frac{9 - 8}{12}) - x = \frac{- 1}{6}\]
\[ \Rightarrow x = \frac{1}{12} - \frac{- 1}{6}\]
\[ \Rightarrow x = \frac{1}{12} - \frac{- 2}{12}\]
\[ \Rightarrow x = \frac{1 - ( - 2)}{12}\]
\[ \Rightarrow x = \frac{1 + 2}{12}\]
\[ \Rightarrow x = \frac{3}{12}\]
\[ \Rightarrow x = \frac{1}{4}\]