Let the number = x
Now,
According to question,
\(\frac{-2}{3}-\) x \(=\frac{-1}{6}\)
\(\Rightarrow\) x = \(\frac{-2}{3}-(\frac{-1}{6})\)
\(\Rightarrow\) x \(=\frac{-4-(-1)}{6}\)
\(\Rightarrow\) x \(\frac{-4+1}{6}\)
\(\Rightarrow\) x \(=\frac{-3}{6}\)
In lowest terms,
x \(=\frac{-3÷3}{6÷3}= \frac{-1}{2}\)
Therefore, \(\frac{-1}{2}\) should be subtracted from \(\frac{-2}{3}\) so as to get \(\frac{-1}{6}\)